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Q: Solve by integration by parts.

A: Given that: ∫1x1+x6dx

Q: Find the tangent line to y = x -x+7 at x = 7. ,2 The tangent line to y = Vx -x + 7 at x = 7 is y =

A: We have to find tangent line

Q: Find y'' by implicit differentiation 4x3+3y3=6

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Q: lim (3+ 2)

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Q: Find the first partial derivatives of the function f(x, y, z) = xz – 5x²y³z*.

A: Find the first partial derivative of function f(x,y,z)

Q: A projectile is shot upward from the top of a 220-foot building with an initial velocity of -22 feet...

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Q: Find A) The x values of all points where the function over the given interval has any relative extre...

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Q: Find all the values of x such that the given series would converge. n=1 Vn +8 Answer: Note: Give you...

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Q: Consider the following. y = 2x5 + 5x* – 10 (a) Find the critical values of the function. (Enter your...

A: The given function is: y=2x5+5x4-10

Q: 3. lim f(x) = -2, 4. lim f(x) = +00, X-2- lim, f(x) = 2 and f(2) = 0 lim 1437(x) = -0

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Q: 20 Find the Maclaurin series for f(x) = - 1+x 20 What is the Maclaurin series of 1+x 00 Σ | (Type an...

A: We have to find the Maclaurin series for f(x)=201+x.

Q: Find all the second partial derivatives forf (x, y) = x³y5 + 2x*y.

A: All the solutions are given below.

Q: Find the absolute maximum and the absolute minimum of f(x,y)= 3xy-3x-6y+1 on the closed triangular r...

A: Given:- The function is, f(x,y)=3xy-3x-6y+1on the closed triangular region whose vertices are (0,0),...

Q: Use the substitution method to find the power series representation of the function using the formul...

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Q: Find the indefinite integral in each of the following. Show all necessary solutions. (2x – 3)dx 2. V...

A: Given :∫(2x-3)dxx2+2x+2

Q: 3. Find the dimensions of a open topped box that maximizes the volume with the constraint that the s...

A: We need to find dimension of an open box that maximizes the volume.

Q: For the function, find the relative maxima, relative minima, and horizontal points of inflection. (I...

A: Given:- y=x3/3 +x2 -24x+25  To find:- Relative maxima Relative minima  Horizontal points of inflect...

Q: If f(x) = 5 sin () , then f'(x) =

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Q: Write the function in the form y = f(u) and u = g(x). Then find as a function of x. dx y= e - 10x Wh...

A: Given that:y=e-10xTo find dydx

Q: Find the convergence set of the given power series: 2" x" n! n=1 The above series converges for < x ...

A: Given:   Limit equations is given

Q: The graph of f is given. State the numbers at which f is not differentiable. y -4 -2

A: In this question we have to state the number at which f is not differentiable according to the given...

Q: Calculate the limit or show it is nonexistent. ry²e lim (r,y)→(0,0) x² + 4y4

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A: Given the improper integralI=∫01ln(7x)dx

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 00 12...

A: Given series ∑n=1∞ n1212nso an=n1212n

Q: 3. lim f(x) = -2, lim, f(x) = 2 and f(2) = 0 4. lim f(x) = +0, g, f(x) = -0

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Q: 5. Find the second derivatives. f(x) = x cos(x) and g(x) =

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Q: 25. | tan'x sec'x dx

A: Given query is to find integral.

Q: solve using ODE from t=0 to 2 when y(0)=1 dy/dt= yt^3 - 1.5y

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Q: Use a calculator to solve the following equation for 0 on the interval (0, T). 1 cot (0) Find all th...

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Q: Without using a calculator, find the exact value of each: i. sin-1(sin)) =

A: topic- inverse trigonometric functions sin(π+θ)=-sin(θ)sin-1(-x)=-sin-1(x)

Q: Find equations of the tangent plane and normal line to the surface z + 19 = xe cos z at the point (1...

A: We have to find tangent plane equation and normal line.

Q: 3. Use the given acceleration function to find the velocity and position functions, and then find th...

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Q: 3 lim tan³ 2x x→0

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Q: Find the length of the parabola given by c(t) = (t, 1) for 0 < 1 < 5. Hint: Use the formula / VI+i' ...

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Q: 1. Determine the slope of the tangent line to the function f(x) = 2                                 ...

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Q: Use the ratio test to find the radius of convergence of the power series. 00 4x" Σ n=0 3" (n+ 1)

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Q: Write the equation of the sphere centered at (5, – 2, 4) with radius 3.

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Q: Represent the function 8ln(8−x) as a power series (Maclaurin series) What is the radius of converge...

A: Given:- The function is, f(x)=8ln(8-x) as a power series. To find: - The radius of convergence of th...

Q: f(x) – f(a) Simplify the difference quotient for the given function. X-a f(x) = 4 – 2x – x?

A: Given query is to perform indicated operation on the function.

Q: Sketch the graph and find the area bounded by the curves for y = 2x² and y = x² + 4

A: Given query is to find the area bounded by the curves.

Q: A silver dollar is dropped from the top of a building that is 1317 feet tall. Use the position funct...

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Express numbers in exact...

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Q: use implicit to tind the eguation of the tangent line tothe Ealloming differentiation Curve at' the ...

A: Topic = Derivative

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. (- 5)...

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Q: 2x2 +2x-4 lim X→1 X-1

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Q: ах? + с, x < -2 a) Given f(x) = }bx + 8, - 2<x < 3, determine the values of a, b, and c if: -2c, x2 ...

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Q: 3. Consider the curve C defined by the vector-valued function R(t) = -2):+-3)j+ cos(t – 2)k, - oo <t...

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Q: Consider the series 1 Σ n(n + 5) n=1 Determine whether the series converges, and if it converges, de...

A: Series

Q: Determine whether the improper integral converges and, if so, evaluate it. (Give your answer to one ...

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Q: y² +2xy =x+y

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