Take a look at our list of Calculus solutions available
- (Solved) Find the vertical asymptotes of the function f(x)=(4x^2+4x-24)/(x^4-2x^3-9x^2+18x) #9058
- Solution: Determine whether the function has a vertical asymptote or a removable discontinuity at x = -1. #9059
- (Solved) Find the limit {x→ {{1}^{+}}} lim (x(2+x))/(1-x) #9060
- [Solved] Find the limit {x→ {{4}^{-}}} lim (x^2)/(x^2+16) #9061
- (See Solution) Find the limit {x→ {{0}^{+}}} lim (x^2-(2)/(x)) #9062
- [Solution] Find the limit {x→ {{(π )/(2)}^{+}}} lim (-2)/( cos x) #9063
- (Solved) Find the limit {x→ {{0}^{+}}} lim {e^{-0.5x}} sin x #9064
- (Solved) Find the derivative of the function y=8-x^3 #9065
- (Solved) Find the derivative of the algebraic function g(x)=x^2((2)/(x)-(1)/(x+1)) #9066
- [Solution] Find the derivative of the function y=(x)/(√{x^4+2)} #9067
- [Solution] A point is moving along the graph of a given function such that (dx)/(dt) is 2 centimeters per se #9068
- (Solved) Differentiate and simplify (a) y=(1)/({{(x^3+1))^4}} (b) y=x^2√{1-x^2} #9069
- Solution: Find the equation of the tangent line in the slope-intercept form of the curve given by 4x^2y+y^ #9070
- (Solved) Let s(t)=3√{{t^2}+5} be the displacement function of a particle with distance in feet and time #9071
- Solution: At a certain instant, a small balloon is released from ground level at a point 75 feet away from an #9072
- [Solved] Find the following limits (a) {x→ 3} lim (x^2-x-6)/(x-3) (b) {theta → 0} lim ( sin (3theta #9073
- (See Solution) Find the following limits (a) {x→ 4} lim (frac{1)/(√{x)}-1/2}{x-4} (b) {x→ 2} lim f(x #9074
- Solution: Use the definition of derivative to find the derivative of f(x)=4x^2-6x-5 #9075
- Solution: Use the definition of derivative to find the derivative of f(x)=(1-x)/(x+1) #9076
- [Solution] Differentiate and simplify: (a) y={{ cos }^3}(2x^2+3) (b) y=ln √{1-x^2} #9077
- (See Solution) Sand is being piled on a conical pile at the rate of 12 cubic feet per minute, the height of the pil #9078
- (Solved) For a t-curve with df=8, find each t-value and illustrate your results graphically. (A) The t-value #9086
- Solution: Find the limit L. Then use the ε -δ definition to prove that the limit is L {x&ra #9095
- [Solved] Find the limit, if the limit exists {x→ 3} lim (x^2-x-6)/(x^2-5x+6) #9096
- [Solution] Find the limit {x→ 1} lim (1-[ -(x)/(2) ]) If it doesn’t exist explain why #9097
- [Solution] Determine whether the function has a vertical asymptote or a removable discontinuity at x = -1. #9098
- [Solution] The region in the first quadrant that is bounded above by the curve , on the left by the line , and #9237
- [Solved] Integrals and Transcendental Functions Suppose that a cup of soup cooled from to after 10 minutes #9238
- (Solved) Techniques of Integration I Sociologists sometimes use the phrase social diffusion to describe the w #9239
- [Solved] Techniques of Integration II Heat capacity is the amount of heat required to raise the temperature #9240
- [Solution] Conic Sections Does any non-degenerate conic section have all of the following properties? I. It is #9241
- (Solved) Polar Coordinates A satellite is in an orbit that passes over the North and South poles of the eart #9242
- [Solution] Infinite Sequences and Series II The series Converges to for all x. a) Find a series for. How is it #9244
- [Solution] Test for convergence or divergence, absolute or conditional. If the series converges and it is possi #9245
- [Solution] Test for convergence or divergence, absolute or conditional. If the series converges and it is possi #9246
- (Solved) Test for convergence or divergence, absolute or conditional. If the series converges and it is possi #9247
- (See Solution) Test for convergence or divergence, absolute or conditional. If the series converges and it is possi #9248
- Solution: Test for convergence or divergence, absolute or conditional. If the series converges and it is possi #9249
- [Solution] Test for convergence or divergence, absolute or conditional. If the series converges and it is possi #9250
- [Solution] Find the open interval of convergence, and test the endpoints for absolute and conditional convergen #9251
- [Solution] Find the open interval of convergence, and test the endpoints for absolute and conditional convergen #9252
- Solution: Find the Maclaurin series in closed form: f(x)=(1)/({{(x+1))^2}} #9253
- [Solved] Find the Maclaurin series in closed form of: f(x)=ln (x^2+1) #9254
- (See Solution) Find the critical points and test for relative extrema: f(x,y)=2x^2+2xy+y^2+2x-3 #9255
- Solution: Maximize: f(x,y)=√{6-x^2-y^2} Constraint x+y-2=0 #9256
- [Solution] Find the equation of the tangent line of the graph f(x)= 4x^2-1 at the point (1,3). Leave the answer #9257
- [Solved] find the derivative of f(x)= 2x^2-5 #9259
- (See Solution) Find the derivative of f(x)= 2x+1 #9260
- (Solved) The radius r of a circle is increasing at a rate of 3cm per minute. Find the rate of change of the a #9265
- (Solved) The region in the first quadrant that is bounded above by the curve , on the left by the line , and #9266
- [Solved] Integrals and Transcendental Functions Suppose that a cup of soup cooled from to after 10 minutes #9267
- [Solution] Techniques of Integration I Sociologists sometimes use the phrase social diffusion to describe the w #9268
- (Solved) Techniques of Integration II Heat capacity is the amount of heat required to raise the temperature #9269
- (See Solution) Conic Sections Does any non-degenerate conic section have all of the following properties? I. It is #9270
- Solution: Polar Coordinates A satellite is in an orbit that passes over the North and South poles of the earth #9271
- (Solved) Find the equation of the tangent line in slope-intercept form of the curve given. (5x)/(y)+3y^2-x^2 #9274
- (See Solution) The height of a rock is thrown up from ground level is given by h(t)=-16{t^2}+40t, where h is in fee #9275
- Solution: A 10 foot pole leaning against the side of a house is being pulled away so that the base moves away #9276
- [Solution] A spherical balloon is inflated so that its volume is increasing at a rate of 3 cubic feet per minut #9277
- (See Solution) Find the first derivative of the following functions: a) f(x) = (x3 + 4x)5 c) f(x) = (e6x)/(3x+1) b) #9278
- [Solution] Determine the following integrals. a) b) c) d) #9279
- Solution: Find the derivative of y=12{{(3x^2-6x+4)}^3} #9283
- [Solved] Find the derivative of the function f(x)=6x^2-6x-1 #9284
- [Solution] Solve ∫{(4x^3-10x+5)dx} #9285
- [Solution] Find ∫{(6x^3+4x-6)dx} #9286
- [Solution] Find ∫{6x{{(x^2-1)}^4}dx} #9287
- [Solution] Find dy if y=5x-(x^2)/(200)-1550 #9288
- [Solved] Find the derivative of y = 6x #9290
- [Solution] What are the dimensions of a closed rectangular box that has a square cross section, a capacity of 1 #9291
- [Solution] Find the interval where each function is increasing and the intervals where it is decreasing f(x #9297
- (See Solution) Find the interval where each function is increasing and the intervals where it is decreasing h(x #9298
- [Solved] Determine where the function is concave upward and where it is concave downward. f(x)=3x^4-6x^3+ #9299
- (Solved) Find the relative extrema of f(x)=2x^3+3x^2-12x-4 #9300
- [Solution] Cost of Producing Guitars: Carlota Music Company estimates that the marginal cost of manufacturing i #9302
- (See Solution) Find f(x) by solving the initial value problem f'(x)=3x^2-6x ; f(2)=4 #9303
- [Solved] Minimizing Packaging Costs: If an open box has a square base and a volume of 108 in3 and it is const #9304
- [Solved] Refer to exercise 1. As an alternative plan, the owner of the Rancho Los Feliz might use the 3000 yd #9305
- [Solved] The quantity demanded each month of the Walter Serkin recording of Beethoven’s Moonlight Sonata, man #9306
- [Solution] Suppose that the total cost function for manufacturing certain product is C(x)=0.2(0.01x^2+120) #9307
- (Solved) Find the indefinite integral ∫{3{t^2}}{{({t^3}+2)}^{3/2}}dt #9308
- [Solved] Solve the following ∫{(x^2)/(√{x^3-1)}dx} #9309
- [Solution] Calculate ∫{(x^2)/(x^3-3)dx} #9310
- (See Solution) Find the following indefinite integral ∫{2x^5dx} #9311
- [Solution] Find the following indefinite integral ∫{(6x^3+(3)/(x^2)-x)dx} #9312
- [Solution] (Partial Derivatives) Determine for each of the following functions f (x, y) if it is a s #9314
- Solution: Find the value of (∂ w)/(partial v) at (0, 0), where w=42x^2+(y)/(x^2+1) and x #9315
- [Solved] Consider the following function f:R^2→ R^2 f(x,y)=x{e^y}+x^2y (a) We are interested i #9316
- [Solution] Let f(x,y)=3x^2+3y^2-6x-18y+π and let {v}=(2 mm,31-dd) such that mm is the month and dd is the d #9317
- [Solved] Consider the closed disk D={ (x,y): x^2+y^2≤ 4 } and let f(x,y)=x^2-y^2. Find the #9318
- (Solved) Let f(x,y)=x^2y+{e^y}x-e Find the equation z=T(x,y) of the tangent plane at the po #9319
- [Solved] Find the point Q on the paraboloid 4z-y^2=x^2-8 that is closest to the point P(0, 1, 0). #9320
- [Solution] Let a,b ∈ R\ { 0 } f(x,y)=((ya)^2-(xb)^2)/(ab)^2 Determine all local minima #9321
- [Solved] A woman got a job at a starting salary of $35,000 a year. If she received an 8% raise on each additi #9360
- [Solution] In 1990, the population of Austin, Texas, was 494,290. During the next 10 years, the population incr #9361
- [Solution] A projection of population trends suggests that t years from now, the population of a certain commun #9420
- [Solved] An efficiency study of the morning shift at a certain factory indicates that an average worker arriv #9421
- (Solved) What is the value, or does it diverge to infinity/negative infinity: ∫_{0}^{∞ }{ln xd #9432
- [Solution] Set up the integral for finding the volume of the solid formed by revolving the region bounded by y #9433
- [Solution] Find the volume of the solid formed by revolving the region bounded by the graphs: y = 2 and y= 1/2( #9434
- Solution: What is the value of the integral ∫_0^2{|x-1|dx} #9435
- [Solved] Find the slope. 2x + y = 4 #9523
- [Solved] When the Lee family bought their home, they borrowed $115, 700 at 10.5% compounded monthly for 25 ye #9557
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