Find the acceleration vector for the position vector r(t) = (sin(11t), 4tº, e -2t). x component = y component= z component =

Q: 2x²-3x + 10 dx (x²+4)2

A: The objective of the question is evaluate the indefinite integral.

Q: Use geometric formulas to find the unsigned area between the graph of y=f(x) and the x-axis over the…

A: Given curve is  a straight line  f(x) = x+5 at x= -2 , f(x) = 3 at x= 6, f(x) = 11 At the given…

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Q: Consider the vector whose initial point is P(-6, 1) and terminal point is Q(-5, -3). Find the…

A: We need to find vector.

Q: Let f be a continuous function such that 2 Lª¸ ƒ(2) dx = - f(x) dx = -8. What is the value of -3 2…

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Q: The function f is shown below. What is the value of nswer in simplest form. -8 -3 N 3 H N W 4 in -5…

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Q: Find the area A of the shaded region of the cardioid r = 9 - 9 cos (0) . 3 -X The cardioid (Express…

A: This is application of integration problem

Q: dr √3-4r-r² 17 -1 r+2 sin-¹( + ²) + C +C) (Ans: sin

A: Yes the answer you have given is correct. see below the calculation using the  trigonometric…

Q: Use cylindrical coordinates to integrate f(x, y, z) = z over the intersection (i.e. all the volume…

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Q: Compute ₁₁x dx using the concept of integral as limit of sums.

A: The given integral is ∫-11xdx use the properties of integral: ∫abf(x)dx=∫acf(x)dx+∫cbf(x)dx, where…

Q: Find the integral of f(x) = e- sinh(x) between 0 and 1.

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Q: 2022" + n 2022 (d) lim sin 2022! + n!

A: Apply the limits to solve

Q: centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 8…

A: The volume of a pyramid isBh3 , where B is the area of the base and h is the height of full pyramid.…

Q: Let P be the set of positive real numbers. One can show that the set P³ = {(x, y, z)|x, y, z € P}…

A: The objective of the question is determine the vector .

Q: Write the sum using sigma notation. 2+4+6+ + 50 71°F Sunny k=1 Need Help? *** Read It Watch It

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Q: (a) Consider the sequence f(n) = 1 + 4n, where n is an integer ≥ 1 (i) Evaluate the first six…

A: The given sequence fn=1+4n, where n is an integer n≥1

Q: Write a limit using summations that would equal So 0 tan (2x) dx.

A: The integral is given by ∫01tan2xdx To evaluate: The limit using summation that is equal to the…

Q: Find the directional derivative of f at the given point in the direction indicated by angle f(x,y)…

A: Given function is: f(x,y)=excosy We have to find the directional derivative at the point (0,0) in…

Q: Given that the graph of f(x) passes through the point (2, 6) and that the slope of its tangent line…

A: We will find the required.

Q: 1 Find the Taylor Series generated by f(x) = (7-X)⁹ at X=6 9 (7-x) 10 f'(x) = 90 f"(x) = (7-x)" f(x)…

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Q: 6. Determine the 19th derivative of the function y=sin(x). Fully explain the process you used to…

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Q: (a) Consider the power series Show that B(x) converges for all x. B(x) = Σ n=0 (-1)η 2η 22n (n!) ²

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Q: 3. Suppose that F(t) is a twice-differentiable function of one variable. Define the function f(x, y)…

A: At first we derive second order partial derivative of the given function   f(x,y)=yFxy.

Q: S (2x² + 1) dx x3 - 3x +2

A: ∫2x2+1x3-3x+2dx This can be written as  ∫2(x2-1)x3-3x+2+3x3-3x+2dx=2∫(x2-1)x3-3x+2dx+3∫1x3-3x+2dx

Q: Z= (a) What is the equation of the plane passing through the points (2, 0, 0), (0, 2, 0), and (0, 0,…

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Q: Find the indicated value. f(5,2) if f(x,y)=2x²y-5xy³ f (5,2)= 10 (Type an integer or a simplified…

A: Given a function fx,y=2x2y-5xy3 We have find the value of fx5,2 Derivative of a polynomial function…

Q: For the function f(x,y) = 8x² + 7y², find f(x + h,y)-f(x,y) = h f(x + h,y)-f(x,y) h

A: Given, f(x,y)=8x2+7y2

Q: Pls answer fast 2+2

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Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

A: The objective of the question is determine the solution of the system of equations.

Q: Solve the differential equation [x a. b. C. d. y tan ¹()] 2x tan-¹(²) -¹ (²/2) dx + x tan¯¹ (²/2)dy…

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Q: 2. A force F = [-2,1,5] in Newtons, pulls a sled through a displacement s = [-3, 5, 4] in metres.…

A: Using dot product of vectors and obtain the magnitude of the force vector

Q: (a) As an iterated integral, with limits of integration A = B = C = D= Suppose f(x, y, z) = E = F=…

A: Let's evaluate triple Integral.

Q: Q2. Find the second order partial derivative of x² - y² + 2xz - xy + yz.

A: The given function is x2-y2+2xz-xy+yz.

Q: 6) 3/2 · 4x²)³/; 9x dx

A: Our Aim is to solve the integral given below:-∫9-4x252x6dx -(i)

Q: Given x = y² + y + 1 from 0≤ y ≤2 1. The arc length of the given curve over the interval is 9. 7:38…

A: Given: x=y2+y+1 from 0≤y≤2To Find: To determine the arc length of the given curve over the given…

Q: X A company manufactures mountain bikes. The research department produced the marginal cost function…

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Q: Evaluate [(e²/² - x)(e²/² + x) dx. Show your work.

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Q: Let f be the function graphed below. If 20 subintervals of equal length are used, write a summation…

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Q: 3. (a) Find the curvature (t) for the vector-valued function (t², 2t, In t), t > 0. (b) Find where…

A: Basic identities of differentiation and vector calculation are used

Q: Find the partial sum S, of the geometric sequence that satisfies the given conditions. 2 a=²₁r = ₁ n…

A: Please see the below picture for detailed solution.

Q: m M|L II k=0 CO M« Σ N சிய

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Q: 5) Show that to order O(h²), the central difference formula for the partial derivative მ3u(x,t) əx3…

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Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

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Q: The function f is shown below. What is the value of answer in simplest form. -10 -9 -8 -7 -6 -5 4 3…

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Q: Find fxy(x,y) if f(x,y)= e 4xy². fxy(x,y)=

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Q: Find the inverse of f(x) = = 1 7x-3 at x = 1. Simplify your answer.

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Q: Find fxx(x,y), fxy(x,y), fyx (x,y), and fyy (x,y) for the function f. f(x,y) = 9x e 9xy fxx (x,y)=…

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Q: An 8 by 8 checkerboard has alternating black and white squares. How many distinct squares, with…

A: Given: an square box in which 64 square box (black and white)

Q: Write the sum using sigma notation. √ √2 √2 √3 + 26 36 Σ k = 1 16 + Need Help? X Read It + + √n 76

A: The answer is given below:

Q: Let the line PQ pass through the points P = (-4,-4, -6) and Q = (-2, 1, - 16). The line will pass…

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