Σ 2(3n 1) 6n + 4

Q: Find the volume of the solid generated by the region bounded by y= x3, y=0 and x= 1 about the y-axis…

A: The region bounded by the curvey=x3, y=0 and x=1 is:

Q: Vrite the equation of a sine or cosine function to describe the graph. 3 6. 十|。

A: Given query is to find the equation of the function.

Q: et Ā = (1,3,–2) and B = (–1,–2, 3, ). Find the following. 1. The cosine of the angle between 3Ā + B…

A: Given query is to find angle between the vector.

Q: 1 hence find u Given that y =u – 5u' and x dx 2(1-15u") a. 3 u 2(15u 1) Ob. 3 u (15u? -1) 2 u'…

A: The objective of the question is evaluate the derivative and choose the correct option.

Q: . Integrating factors found by inspection.: y(x² – y² +1)dx–x(x² – y² -1\dy = 0

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Q: Debra is on vacation at a tropical bay that has three islands. She rents a boat on Island A and…

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Q: z'dz 214

A: We have to find ∫x2 dxx3+4.

Q: The slopes of the lines tangent to the function y = 4x° – 4 T on the interval (-oo, 00) is a…

A: Given ,  The slopes of the lines tangent to the function  y = 4x3 -4√x on the interval (-∞, ∞) is a…

Q: A floodlight is positioned on the ground shining on a white wall 10 m away. A woman 1.6 m tall…

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Q: Let ū and i are unit vectors such that the angle between them (when joined tail to ail) is 30°, then…

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Q: spherical coordinates arc

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Q: Solve for x. 17**8 = 113* x+8 Write the exact answer using either base-10 or base-e logarithms. x =…

A: Basic application of logarithmic properties problem

Q: or false Let the domain of discourse be the set of all non negative even integers. Then, Vx,3y, (y2…

A: Solution of the problem as follows

Q: 3. Determine the derivative of each of the following. a) y = e-*sinx b) y = 2* + 3* c) f(x) = xcos2x…

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Q: There is a 4 km long straight beach. At one end, there is a boat anchored at A, 3 km off the beach.…

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Q: f(x) = x²In x + sec x; find f"(x)

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Q: Which of the following is one of the correct steps to evaluate | cos'x dx to obtain the desired…

A: Solution :∫cos7xdx∫cos6xcosxdx∫cos2x3cosxdx∫1-sin2x3cosxdx

Q: 33 2Vx- f (x) (1–3t) (t³-8) T Sin sin 2x + Ve2x + 2x – In e, x + 1 - 1-x g(t) = t # 2 2-t

A: Given:

Q: 9) Find the point on the line y = 3x - 4 that is closest to (2, 1).

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Q: (x² + 8, if x4) Consider the function f(x) = Find the value of B such that f (x) is continuous at x…

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Q: Consider the IVP: y" + 9y = 40ex ; y(0) = 5, y'(0) = -2. Find the general solution.

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Q: sing the four step rule, find the derivative of y = tan(x) %3D

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Q: Evaluate the following integrals. x +3 a) dx. Vx? - 4x – 5

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Q: 4. Solve the initial value problem 8 + 3y = , e > 0, y(n) = -5. sine %3D de

A: Given

Q: 3. Give the parametric and symmetric equations of the line that passes through the point (4,-3,5)…

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Q: rative: y = (V3x – 5)(3x2 - 7). %3D

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Q: Find the area of the shaded region. r = V cos20 r = 6 cos 0 NOTE: Enter the exact answer. A

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Q: | sinh$4x cosh 4x dx can best be evaluated by General Power Formula. A True B False

A: Explanation of the answer is as follows

Q: Consider and remember that A = (0,4,2) , B = (6,-1,0), C = (3,0,1> %3D %3D 1 1) Determine the unit…

A: Here, the given vectors are: A=0,4,2, B=6,-1,0  C=3,0,1

Q: Consider the sum In(2.25) · 0.25 + In(2.5) · 0.25 + In(2.75) · 0.25 + In(3) · 0.25 + In(3.25) · 0.25…

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Q: Find the average value of the function over the given interval. You must show your wo x2 - x +1 f(x)…

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Q: Vector Calculus Given, A = a zi – 23² ²j+ æy} sÎn¢ divAat the point (1, –1, 1) -

A: Here, the given vector field is: A=x2zi-2y3z2j+xy2zk

Q: (cos 12t – cos 3t) dt 2 sin7t sin4t dt= A True (B) False

A: This question is based on indefinite integral and Trigonometric equation.

Q: 2. The linear differential equation x*dy+(2y– 3x²y-x' \dx = 0 has the integrating factor equal to…

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Q: 3. Given the parent function f(x) = |x|, write the equation of the function g(x) whose graph is…

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Q: Find the derivative of the following functions and simply it whenever possible. 6. y = ln(ln sec x)

A: The given function is y =lnlnsecx We have to find derivative of the function. We know derivative of…

Q: Consider and remember that A = (0,4,2) , B = (6,-1,0), C = (3,0,1) 1) Determine the unit vector…

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Q: 1) Sketch the curve. a) r=-2 sin O r = -2 sin O Show All Work

A: Explanation of the answer is as follows

Q: 8) The perimeter of a rectangle is 56. Find the length and width of such a rectangle that would have…

A: Explanation of the answer is as follows

Q: х ах 13. S- (6х-x2-5)2 3

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Q: Let P be a plane in space and let v be a vector. The vector projection of v onto the plane P,…

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Q: dz(r, s, h, k). / 7. Test for relative maxı.na and minima and classify the critical points of the…

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Q: Solve for the domain and range of. f(x,y,z) = %3D V4-x2-y²

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Q: Let å and b are vectors such that the angle between them (when joined tail to tail) is 0°. Describe…

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Q: Find the directional derivative of f(x, y, 2) 2y at P(5, 1, –4) a + z in the direction from P to…

A: Given: fx,y,z=2yx+z, P5,1,-4, Q2,3,-1   The expression for the directional derivative of the…

Q: Find the derivative of the following functions and simply it whenever possible. 1. y = 34x

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Q: Find an equation of the plane that passes through the point P(4, 6, 3) and has the vector n = (1,6,…

A: I have stated the used formula in the solution.

Q: Solve the following by linear equation of order one: dy - (x3 - 2xy) dx = 0

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Q: b. ƒ(x) = x² ln x + sec x; find f"(x). c. f(x)= x³ sin x; find f(4)(x).

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Q: Solve for a andb that makes the function continuous at every number in its domain f(x) = 2x+1 x5

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