S4tan3 (пх + 1)dx

Q: Write out the MacLaurin polynomial of degree 12 of the function h(x) = cos(x2). (b) Use you answer…

A: Given

Q: Evaluate xe*dx. -3

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Q: dx U x" Jx? +3 4

A: To find out the integration.

Q: Find the maximum value of the function f(x) = x³ - 9x² + 15x - 5. Answer: Find the value of x for…

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Q: For a dosage of x cubic centimeters (cc) of a certain drug, the resulting blood pressure B is…

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Q: What is the unit vector oppositely directed to 4?−5?−5??

A: Topic:-  vector algebra

Q: Find a positive number such that the sum of the number and its reciprocal is as small as possible

A: Second Derivative Test :   Firstly find critical point of f(x).i.e, f'(x)=0 and find the value of…

Q: Example 2 Compute (a) (1+i)/(3-i) and (b) (1+i)4.

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Q: Find all solutions to the equation. 2 sin 0+/2 =0 Write your answer in radians in terms of t. TC…

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Q: A country's census lists the population of the country as 238 million in 1990, 281 million in 2000,…

A: Solved below

Q: erify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), В(3, -5,…

A: We have to find area

Q: Suppose the position of a particle is given by parametric equations x(t) = 2t2-1 and y(t) = 3t3. (a)…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. xyz = 20, (1, 4, 5) (b)…

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Q: J6x²e?x^3+1 dx = 3e?x^3+1 + C Select one: O True O False

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Q: f(x) = sin° (tan(5e2*))

A: We can find the derivative as below using chain rule.

Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

A: Solved below

Q: Answer the following True or False, sin dt 圭 dt 0. 1 t? t cos O True O False

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Q: (a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y?, (7, 3, 40)…

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Q: of Find (1.-7) if f(x.y) = 2x2 + 4xy - 5y? + 4x - 9y - 9. dx of (1, -7)-O (Simplify your answer.)

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Q: dy = (Type an integer or a simplified fraction.)

A: Topic:- double integration

Q: funchoN f whose second derivative is f ")= 5x+2sin(x If fo 3 and fro)= 3. what is fe?

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Q: Suppose that fis continuous and that / f(x)dr=4 and / s(x) dr=7, Find / 45 (x) dx A 20 B 28 16 12

A: using property∫acf(x) dx=∫abf(x) dx + ∫bcf(x) dx∫-33f(x)dx +∫36f(x)dx=∫-36f(x) dx4 + ∫36f(x)dx…

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: Graph the equation below. Choose the correct graph. y = 5.5* OA. O B. OC. OD.

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Q: wo boats leave a marina at the same time. The first boat travels 8 knots at a bearing of N24°E, and…

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Q: Decide if a direct comparison test can be used to determine convergence of the following series.…

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Q: At which points on the curve y = 1 +°40x³ – 3x³ does the tangent line have the largest slope? | (x,…

A: Maximize slope

Q: Use the areas shown in the figure to evaluate f (x) dr. Area = 10 Area = 9 а b c d y = f(x) Area =…

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Q: TRUE OR FALSE 1. ∫(4csc2x - 3sec2x) dx = -4cotx - 3tanx + C 2. ∫6x2e2x^3+1 dx = 3e2x^3+1 + C 3.…

A: We have to find the solution

Q: Consider the function y = 4x3-3x2+6x-9. What is the average value of the function on [-2, 4] ?

A: average

Q: The sum of two numbers is 8. The product of the first number and the square of the second number is…

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Q: Each side of a square is increasing at the rate of 8 cm/sec. At what rate is the area of the square…

A: We have to find the increase of area

Q: Using Integration by parts, evaluate: ſ x³Vx³ + 1dx Your answer

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Q: what is the area between the curves: y = 7 cos( pi*x),    y = 12x2 − 3

A: 7cos(πx) and 12x2-3

Q: Using Integration by parts, evaluate: ſ xVx + 1dx Your answer

A: As per our guidelines we are supposed to answer one question, kindly repost the remaining question…

Q: Find the dot product of v and u and determine if the vectors are orthogonal. a. v = , u = The…

A: There is more than 1 question, as per the Q&A guidelines we are answering the 1st question. If…

Q: At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 18 knots and ship…

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Q: At which points on the curve y = 1 + 40x3 - 3x5 does the tangent line have the largest slope? (x, y)…

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Q: Determine whether (-±) is part of the unit circle or not.

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Q: 6. Determine, with reasons, the absolute maximum and absolute minimum of f(x) = x/2 – x on the…

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Q: (x? - 1)² dx = x$/5 - 2x/3 + x + C Select one: O True O False Jdx/(1 - 2x) = 1/2 In|1 - 2x| + C…

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Q: (e2y – y) cos a = e" sin 2r, y(0) = 0

A: Solution is given below:

Q: What are the domain, range, and period of the function f0) = -3cos(- 20)? Answer in complete…

A: Given problem:- What are the domain, range, and period of the function f(θ)=-3 cos(-2θ)

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: Sie cos e sin 20 de t/3 T/6

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Q: 1. Given f(x) S(x) = x² + 4x - 2 and g (x) = 3x – 4 , find the composition of functions for the…

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Q: 1. cot? 2x csc* 2x dx

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Q: Find the value of x for which the value of the function f(x) = x + 3x2 - 2 is minimum? Answer.

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Q: Use implicit differentiation to solve the following related rate problems: (Include a properly…

A: This question can be solved using the concept of rate of change of physical quantities.

Q: Find Sc F · dr for F = 3yi – (sin y)j on the curve counterclockwise around the unit circle C…

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