The f sin x cos²xdx is x sin 4x {A} 16 64 sin 4x x {B} 16 16 O A B O - sin³2x 48 sin³2x 48 +C + C {C} 1/6 {D}++ 16 sin 4x 64 sin 4x 64 + sin³2x 16 sin ³2x 48 + C +C

Q: Figure A is transformed by the dilation D:(x, y) = (8x, 8y) to make figure B. Figure A is…

A: We can answer the question as below.

Q: Convert the rectangular equation to an equation in cylindrical coordinates and spherical…

A: We have to convert the given equation.

Q: (1 + x³) dy - x² y dx || 0

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Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = t2…

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Q: gra Ốf j at point (b) Find the directional derivative of f at the point (0,–2) in the direction of…

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Q: 2) Sketch the curve with the vector equation r(t) = costi- costj+ sin tk. Show the direction of…

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Q: 1. f(cos 3x - x²) (sin 3x- x³)5 dx 2. f cos² x (tan x) (sec² x − 1) dx 3. f tan x (sec² x - 1)(sec²…

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Q: Let C₁ be the curve with parametric equations I= cost, y = sint -t, where t € [0, 1]. (a) Find the…

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Q: Use the method Laplace transform to solve the following. (a) 2r' + 7r=3e-t, x(0) = 4. (b) 2r' +…

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Q: Evaluate the following integrals by substitution. Show your complete solution. Express your answer…

A: We have to find integral solution

Q: Let f(x) = x². a) Find the tangent line to the graph of the function at x = 9. y = b) Find the…

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Q: Evaluate the definite integral. 18t (elst i+e¹j+t k)dt S (¹²¹ ₁+ (e-1) i-(¹-1) j+k els 1 - (e¯¹ − 1)…

A: Follow next step

Q: Find the derivative of the vector function r(t) = (tsin t, t^2 , t cost)

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Q: 5. y = 2 sin x y

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Q: Numerical solution of Ordinary differential equations Consider the following initial value problem…

A: This is a problem of numerical method . Based on modified Euler method we will answer the question.

Q: Find f. f(t) f"(t) = 2e + 3 sin t, f(0) = 0, f(π) = 0

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Q: A line has slope and passes through the point (a, b). Which of the following is not a point on l?

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Q: Find a3 w дх ду дz if w — exyz = 0.

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Q: The velocity of a particle in space at time t is given by(t) = 2t² i + 2t k Find the distance…

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Q: Find the answer to the application problems. 5. If v(t)=t²-7t+10 represents the velocity function of…

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Q: The diagonals of the square ABCD meet at X. Determine two ways to write BX using AB, BC, CD and DA.…

A: This question can be solved using the concept of triangle law of vector addition.

Q: ſ(2x+5)dx Use geometry to evaluate

A: Follow next step

Q: Find the limit. NOTE: Enter the answer using round brackets. t² + 8 1 = lim t+x6t²+7'2t (?, ?)

A: Explanation of the answer is as follows

Q: In the triangle below, BA=u and BF=v. Express each of the following in terms of u and v. a) CD b)…

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Q: Find the area of the surface x²-6y-2z=0 that lies above the triangle bounded by the lines x = 4, y =…

A: Surface Area :        Surface Area = ∫∫R 1+zx2+zy2 dA

Q: B. Convert the following to degree or radian. 1.330° 2.-485° 4 п 3.- - 4.- 7 -бл 5

A: Solved below

Q: A triangle has sides represented by the vectors (2, 1) and (3, 4). Determine the length of the third…

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Q: Consider the function f that is continuous on the interval [-5, 5] and for which f f(x)dx = 4.…

A: We need to evaluate integral.

Q: 1 dx x+1 1

A: Evaluate improper integral

Q: Find the area (in square units) of the region under the graph of the function f on the interval [3,…

A: Area under the curve over the given interval:3, 6Area: ∫abf(x) dxA =∫36 (8ex-x) dx   =8ex -x2236…

Q: Evaluate khefaltowing cartesian integrals by changing them inteequiv alent Palar integrals: dy dx

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Q: Evaluate the following limit using L'Hospital's rule. Enter an exact answer. Provide your answer…

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Q: Find the critical points of the function f(x) = 2²-25 x² + x - 30 Use a comma to separate multiple…

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Q: Solve the given differential equation by undetermined coefficients. y'' − 12y' + 36y = 24x + 2…

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Q: An open-top box is to be made from a 12-inch by 42-inch piece of plastic by removing a square from…

A:

Q: 1) Calculate the following integrals 1_dx a) S 4x²+25

A: Given; I=∫14x2+25dx    .....(1)   As we know that; ∫1x2+1dx=tan-1x+C

Q: i-2yj + (z+3)k and suppose the outward flux of F through Side A is 1 and through Side B is -3. Can…

A: answer is in next step

Q: The average cost for a company to produce x units of a product is given by the function A(x) = The…

A: A(x) represent the average cost.A'(x) will represent change in the average…

Q: Evaluate the indefinite integral given below. ∫ x(x+7)4 dx

A: Given query is to find the integration.

Q: Solve the triangle with the given information. a= 8.3, c= 2.8, p= 19.4° b 5.7 (Type an integer or a…

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Q: Two poles are connected by a wire that is also connected to the ground between the poles. The first…

A: Given:

Q: Let the graph below represent an object's velocity as moves away from a sensor. At what time, in…

A: This integration can also be found from area under the curve .

Q: Find the sum of all the odd numbers between

A: Given,            Sum of all odd numbers between 21 and 355 inclusive.To find : Find the sum.We know…

Q: The equation of motion of a particle is s = t³ - 27t, where s is measured in meters and t is in…

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Q: Consider the function f that is continuous on the interval [-5, 5] and for which ff(x) dx = 4.…

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Q: Find the curvature of the curve r(t) = (3 cos (4t), 3 sin(4t), 4t) at the point t 0 Give your answer…

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Q: Consider the function of that is continuous on the interval [-5, 5] and for which ſo f(x) dx = 4.…

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Q: A 10-ft ladder is leaning against a house on flat ground. The house is to the left of the ladder.…

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Q: 5x-10 Find the area under the curve of f(x)=- 05 O-10In 2 O 5-10lm 2 0-5 from 1 to 2.

A: Solve the given

Q: 3) Find a vector equation and parametric equations for the line segment that joins (-2, 4, 0) to…

A: