13. Eliminate the parameter t, sketch the curve, and indicate the orientation. x=5 sint, y= 5cost,

Q: 2. The area bound by the curve y = ezr, the y – axis and the line y = 4 is rotated about the line y…

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Q: Determine the convergence or divergence of the series. (If you need to use

A: answer is in next step

Q: 1) Find dy/dr by implicit differentiation. box answer tan (xy¯+y)= x

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Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx. Write the given…

A: To find out the value of integral using the midpoint rule.

Q: 1. Find the most general antiderivative of the function f(r) = + sin(4 – r) + 7e

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Q: The graph given below is graph of f '. Determine where f is increasing, decreasing, concave up,…

A: Let's find.

Q: 8. Use vectors u = -3i - 3j, v = -li, and w = 5i + 6j %3D a. Determine the angle between u and w. a.…

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Q: 1. Find the most general antiderivative of the function f(r) = + sin(4 -r)+ 7e dr

A: We have to find antiderivative of given function

Q: (H.W) 1- Solve by choose M this time ( 2 x y² + 3 x² ) dx + ( 2 x² y + 4 y³ ) dy = 0 2- Find the…

A: If the differential equation Mdx +Ndy =0  is exact ∂M∂y=∂N∂x , then solution is                 ∫y…

Q: (cos(x)) dx cos(c) 3.

A:

Q: Let f(x) = Vx? + 9. Then f'(x) is f'(1) is f"(x) is and f'"(1) is

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A: We have to find out the integral

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Q: x2 - 6x + 8 lim x--2+ x3 - 4x

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Q: If f(x) = (x2 + 5x + 8)*, then f'(x) = f'(5) =

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Q: 5- y? = 4x (4, 4) y = 2x – 4 (1,-2) Using a horizontal element of area, the area of the shaded…

A: Here  we have to find the area of shaded region.

Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

A: Given query is to find the value of the integral.

Q: d²y Q2: find of the following statement dx2 a) y = xcosnx b) y = In x3 + ex + cot x

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Q: Use the definition of Taylor series to find the first three nonzero terms of the Taylor series…

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Q: If the series converges, find its limit. (Leave your answer exact.) If the series diverges, simply…

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Q: =

A: We will find the derivative.

Q: Find the area of the shaded region. x = -y 2 x = 2 - -2 A B 10 3 2.

A: Given query is to find the area of the shaded region.

Q: (H.W) 1- Solve by choose M this time (2 x y² + 3 x² ) dx + (2 x² y + 4 y³ ) dy = 0 2- Find the…

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Q: n = 1 Vn lim n-00 converges O diverges

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Q: Let F(x) = f(x*) and G(x) = (f(x)). You also know that a' = 5, f(@) = 3, f'(a) = 13, f () = 1 Then…

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Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

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Q: dx The integral of the given function ſ is equal to (x²–2x+4)ž а. 1/4 b. 1/5 с. 1/6 d. 1/3 e. None…

A: A detailed solution is given below

Q: Find the following using the table below. 1 2 3 4 2 4 1 1 4 9(x) 2 4 1 1 4 2 (a), 6 h'(4) if h(x) =…

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Q: 3n° + 2n³ - 7 {a,}== 7n' + 3п +4

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Q: Find y ify=xIn(9x+1) 2.

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Q: After substitution is performed, which of the following is equivalent to xV4x² + 9 dx? 25 du 8. 25…

A: Here is the solution:

Q: is this statement true or false   The probability of any possible value in a discrete in a…

A: Here is the solution.

Q: Ay (2, 4) y = 2x y = x2 2. Using a vertical element of area, the area of the shaded region is given…

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Q: Identify whether the given is a discrete or continuous variable. 1.The temperature of a cup of…

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Q: The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of whiskey is…

A: answer is in next step

Q: Determine the vector field of F. F(x, y) = yi – xj

A: Given:     F(x,y) = yi - xj.          ---------(i) We have to determine the vector field of equation…

Q: 3 1 - dx 2 2. cos sin X

A: solution:-∫cos4xsin3x1x2 dxlet 1x=t-1x2dx=dt=-∫cos4tsin3t dtWe know that the formula  2cosAsinB =…

Q: f (x)= arcsin (x³)+ aretan (4x)

A: derivative

Q: Evaluate the definite integral. Use a graphing utility to verify yourr result. (sin(x) – 3) dx Step…

A: To evaluate the given difinite integral. By using a graphing utility to verify your result.∫0πsinx-3…

Q: Use the integral test to determine the convergence or divergence of the series. 1 20) E k = 1 6k- 1

A: Let's find.

Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + = subject to x2 + y…

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Q: Use implicit differentiation to find the gradient of the tangent line for xy 6xy - 2x = 9 at the…

A: topic- application of derivative

Q: 8. Find y'ifys34-7x+2)+4%-2

A: Differentiation

Q: Substitute the above values In the equatlon for (3/+ B) (31 + 8) = + 48 II II

A:

Q: 3. For curve y ==x +4x2 - 12x , locate the possible maximum and minimum %3D points.

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Q: x²+1 Find J+3x+1 11.

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Q: 3873727x3737

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Q: Suppose we want to evaluate the following indefinite integral -53z? + 98z +172 dr (z – 2){(7z + 12)…

A: Solving