Explore our list of Calculus solutions available
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[Solved] Find the volume of the solid generated by revolving the region bounded by the graphs of the equation #16876
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[Solution] Find the following indefinite integral ∫{(x^2-3)/(-x^3+9x+1)}dx #16877
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(See Solution) Find the following indefinite integral ∫{{{ tan }^5}xdx} #16878
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[Solved] Find the following indefinite integral ∫{(1)/(x√{4x^2+9)}dx} #16879
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Solution: Find the following indefinite integral ∫{(5)/((x-1)(x+1))dx} #16880
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(Solved) Solve the following differential equation x^4(dy)/(dx)+2x^3y=5 #16881
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[Solved] Create a poset on the set A = (a, b, c, d, e, f, g, v, w, x, y, z) sketch its Hasse diagram and give #16898
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Solution: Transforming exponential distributions (a) Let X have an exp(1/2) distribution. Determine the distri #16936
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[Solved] Let X_1,X_2,....,X_n be independent random variables, and all are U(0,1). Define X=max { X_1,. #16940
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[Solved] Find the volume of the solid generated by revolving the region enclosed by y=x^2,y=4x-x^2 #16944
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(Solved) Find the arc length of the graph of the curve y=(x^4)/(8)+(1)/(4x^2) over the interval [ #16945
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Solution: Integrate ∫_{0}^{π }{x sin 2xdx} #16946
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(Solved) Integrate ∫{{{ cos }^2}3xdx} #16947
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[Solution] Integrate ∫{(x^2)/(√{25-x^2)}dx} #16948
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Solution: Integrate ∫{(x^2+12x+12)/(x^3+4x)dx} #16949
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(Solved) Integrate ∫_1^2{{}}(x+1)/(x^3+x)dx #16950
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[Solved] Find the limit of the improper integral ∫_{1}^{∞ }{(2x-3){e^{-x}}dx} #16951
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(Solved) Find the arc length of the curve given in parametric form by x=√{t},y=3t-1,0≤ t≤ 1 #16952
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[Solved] Find the equation of the tangent line in Cartesian coordinates of the curve given in polar coordinat #16953
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(See Solution) Sketch the curve represented by the parametric equations (indicate the orientation of the curve), an #16954
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[Solved] Sketch the curve represented by the parametric equations (indicate the orientation of the curve), an #16955
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[Solved] Find dy/dx and {d^2}y/{d^2}x, and find the slope and concavity (if possible at the given value of th #16956
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[Solved] Find the arc length of the curve on the given interval. Parametric equation: x=t,y=({t^5})/(10)+(1)/ #16957
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(See Solution) Use integration by parts to find the integral: ∫{2{{x}^n}ln ax} with a≠ 0,n≠ #16958
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[Solution] If f(x,y)=-8xy+{e^{-8xy}}, find ({{partial }^2}f)/(∂ x^2) and ({{partial }^2}f)/(∂ x∂ #16959
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[Solved] Use an integral formula to evaluate: ∫_3^5{(dq)/(q√{64+{q^2)}}} #16960
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Solution: Use an integral formula to evaluate: ∫{(dx)/(196-225x^2)} #16961
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Solution: Approximate the definite integral using trapezoidal approximation with n=4 trapezoids. Round answer #16962
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[Solved] The rate of change of the number (in thousands) of U.S. people playing a particular video game y can #16965
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[Solution] By calculating the first few derivatives, find a formula for the nth derivative of the function f( #16968
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Solution: Find the derivative of the following function: y=ln (7x+3) #16969
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[Solution] The population (in millions) of a city t years from now is given by the function P(t)=4+1.4{e^{0.08t #16972
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[Solved] The sales decay for a product is given by S=300{e^{-9t}}, where S is the daily sales in dollars and #16973
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Solution: The loudness of sound (L, measured in decibels) perceived by the human ear depends on intensity leve #16974
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[Solution] Use the Integral Test to determine the convergence or divergence of the series. ∑limits_{n=1}^{ #16975
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Solution: Determine the convergence or divergence of the series. ∑limits_{n=1}^{∞ }{({{(-1)}^{n+1}} #16976
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Solution: Find the radius of convergence of the power series. ∑limits_{n=0}^{∞ }{((2n)!{{x}^{2n}})/ #16977
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[Solved] Use the definition to find the Taylor series (centered at c) for the function. f(x)={e^{3x}},c=0 #16978
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(See Solution) Find the volume of a solid generated by revolving the region bounded by the graph around the line x #16983
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[Solved] Determine the exact value of the volume of the solid obtained by rotating the region bounded by the #17159
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[Solved] Use the method of cylindrical shells to determine the exact value of the volume of the solid bounded #17160
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[Solved] Express ∫{ sin x^2dx} as a power series. #17161
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[Solved] Consider the problem of maximizing utility function u(c,l) subject to pc + wl = w + y where c is con #17208
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(Solved) Evaluate ∫{(1)/({{(5t+4))^{2.7}}}dt} #17214
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Solution: Evaluate ∫{( cos (frac{π )/(x))}{x^2}dx} #17215
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[Solved] Evaluate ∫_0^7{√{4+3x}dx} #17216
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[Solution] Find the area between the curves y=x^2, y=4x-x^2 #17217
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(See Solution) Find the area between the curves 4x+y^2=12, x=y #17218
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(Solved) Find the area between the curves #17219
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(See Solution) Find the volume of the solid generated by the following curves rotated about the given lines x=y-y^ #17220
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[Solution] Find the volume of the solid generated by the following curves rotated about the given lines y=1/4x #17221
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[Solution] Find the volume of the solid generated by the following curves rotated about the given lines y=(1)/ #17222
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[Solved] Why does this discrepancy exist? #17328
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[Solved] a) Evaluate the integral ∫_0^1{∫_{0}^{1-x^2}{(x^2+y^2)dydx}} b) Let w=w(u,v), u=(x)/(y) and #17363
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Solution: a) Find a particular solution to x''+4x'+4x=8{t^2}+8 b) Find the solution to the following differen #17364
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(Solved) a) Solve (dy)/(dx)=2xy^2, with y(0)=1. What is when reaches infinity? b) Find the general solution t #17365
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[Solved] a) Let f(x,y)=x^3+xy^2-2y. Use the chain rule to find the rate of change of f(x,y), (df)/(dt) along #17366
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[Solution] a) Evaluate the integral I=∫_0^1{∫_{0}^{1-z}{∫_{0}^{y^2}{xdxdydz}}} b) Find the directi #17367
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(See Solution) Find the antiderivative for the given function f(x)=x√{x}-{{x}^{-3}} #17401
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[Solved] Find the equation of the curve whose slope is √{6x-3}, and that passes though (2, -1). #17402
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[Solved] Find the exact area under the given curves between the indicated values of x: y=9-x^2 be #17403
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Solution: Evaluate the following definite integral: ∫_{0.2}^{0.4}{x^2{{(x^3+2)}^{3/2}}dx} #17404
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Solution: Approximate the value of each of the given integrals by using the trapezoidal rule, using trapezoida #17405
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[Solution] Approximate the value of each of the given integrals by using Simpson’s Rule ∫_2^4{(1)/(x^ #17406
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Solution: A beach ball is rolled up a shallow slope with an initial velocity of 18 ft/s. If the acceleration o #17417
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(Solved) During each cycle, the velocity v in (mm/s) of a piston is v=6t-6{t^2} #17418
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[Solution] Find the derivatives (a) R=3{{ sin }^{-1}}(4-{t^2}) (b) y={{ tan }^{-1}}(1-x) (c) θ =({{ t #17419
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(Solved) Integrate (a) ∫{ csc 8x cot 8xdx} (b) ∫{(3)/( sin 4x)dx} #17420
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[Solved] Find the equation of the tine tangent to the curve y=x^2+(6)/(x) at the point (3, 7). #17466
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[Solution] If the x and y coordinates of a moving object as a function of time t are given by x=0.1{t^2}+1 and #17468
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[Solution] Sketch the curve of y=x^3+(3)/(x), be sure to indicate where the curve is increasing and decreasing #17469
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[Solved] The total power P (in W) transmitted by an AM radio transmitter is P = 460+230m2, where m is the mod #17470
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[Solution] The current I (in A) in a circuit with resistance K (in Ω ) and a battery whose voltage is E a #17471
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(Solved) The altitude h (in ft) of a certain rocket as a function of time t (in s) after launching is given b #17472
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[Solution] A lap pool is designed to be seven times as long as it is wide. If the area of the sides and the bot #17473
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Solution: Bill reaches his 21st birthday, but is dismayed to realize that the price of the car he wanted is no #17524
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[Solution] Let, A=[ 2 1 0 , 0 2 1 , 0 0 2 , ] show that {e^{At}}={ #17783
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[Solved] Prove using the ?-N definition that the following sequences converge (a) (b) (c) (d) (e) (f) ( #17789
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[Solved] Give a formal proof that, if , then #17790
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[Solution] Let be Cauchy sequences. Show that (where c is an arbitrary constant) are also Cauchy, using only t #17791
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[Solution] Using the angle sum formula Hint show that cos q is continuous on (- #17792
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Solution: Given f(x)=(5ln x)/(x) (a) Use 4 left rectangles to approximate the area bounded by f(x) and the x- #17821
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[Solved] The table gives the increase or decrease in the number of donors to a college athletics support orga #17824
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[Solved] The rate of change of the temperature in a museum during a junior high school field trip can be mode #17825
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[Solved] Sketch the graph of f(x)=√{x}-(2.51)/(x) from x = 1 to x = 5, labeling any x-intercepts that o #17826
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[Solved] Given f(x)=-1.1x+18, and g(x)=1.7{e^{0.4x}}, find the area between f(x) and g(x) from x = 3 to x = 6 #17827
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(Solved) The population of Mexico from 1921 through 1990 can be modeled by P(t)=12.582({{1.027}^t}), t years #17828
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[Solved] Integrate (a) ∫{(8x-9{x^8})/(4x^2-{x^9)}dx} (b) ∫{14{{x}^{13}}√{{{x}^{14}}+37}dx} #17829
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[Solved] Evaluate the following improper integral ∫_{3}^{∞ }{(25)/(x^4)dx} #17830
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[Solution] The table gives the rate of change of the monthly rent in a certain apartment complex for selected y #17838
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(See Solution) The table gives the wind chill C(w,t) or how cold it feels in oF for a given wind speed w and air te #17842
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[Solution] Find all first order partial derivatives of B(s,t)=(9)/(s)-4ln t+{{3}^s}{t^5} #17843
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(See Solution) Let B(s,t) be the number of minutes it takes a quart of water to boil when the water contains s gram #17844
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Solution: Find and classify all critical points of f(x,y)=10y^2+12xy-17y-x^3-33. #17845
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[Solution] For the multivariable function f(x,y)=x^2+6xy under the constrain g(x,y)=4x-y=24 (a) Find the const #17846
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[Solved] (A.) Show that y = tan ? is increasing on every interval in its domain. (? is alpha) (B.) If the co #17848
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[Solved] Find k such that the line is tangent to the graph of the function function line f(x)=k√{x} #17849
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(See Solution) State the definition of the derivative of the function f at x=a. #17850
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(See Solution) Use the definition of the derivative to find the slope of the tangent to the curve at x=2 of y= x #17851
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[Solved] Find the equation of the line tangent to the curve y= sin (x-(π )/(2))-4 at x=(3pi )/(2). #17852
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[Solution] Given the position function s(t)={t^6}+√{5t}-(1)/(π ) find the velocity function and the #17853
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(See Solution) Find the first and second derivative of y={{({{theta }^2}- sec θ +(1)/(π ))}^3} #17854
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