Find or evaluate the integral by completing the square. (Round your answer to three decimal places.) 1 dx x2 - — 2х + 2

Q: Find the average value of the function on the interval. Give an exact answer. f(x) =  1/(x-7)^2…

A: For average value of f, we need to integrate in the given interval.

Q: x2 +x+1 3. dx. Use partial fractions. 2x2 +2+x+x

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Q: 耳 ixn=wyr Show that d P

A: Given a function is two variables.

Q: 3 3 What is the value of the integral 2x ydydx ? Select one: O 4/83 O None of these O 83/4 O 4/81 O…

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Q: Find the indicated derivative. f (x) = (x³ – 5x + 2)(x² + x – 7); find f"(x). %3D

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Q: A company manufacturers and sells z televisions sets per month. The monthly cost and price-demand…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 1. Vectors v and w are given on the grid. It can be calculated that 2v + w = . Make a drawing on the…

A: First take the origin and find v & w vectors then solve each part.

Q: If f'(x) > 0 and f" (x) < 0, then which of the following is true? o f(x) is decreasing and concave…

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Q: ] Let D be the region bounded between x + y = 4 and x + y = 9 that lies within the second and the…

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Q: x +5 Given the function g (x) find g' (x) x² +6x O 8' (x) = x* +6x³ +5x² +30x x² (x+6)? O 8' (x) 2x3…

A: Given, gx=x2+5x2+6xDifferentiate…

Q: Question- Let R be the region bounded by y= x+2, y30, and x=3. Then draw the region and evaluate the…

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

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Q: (t – 1,t 2

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Q: Compute the derivative of each function. f(x) = [sin(4² + x)] [cos(x* + 4)] %3D

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Q: Find the polar equation of the line y = 7x + 5 in terms of r and 0. (Use symbolic notation and…

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Q: Which formula is not equivalent to the other two? 10 (-1)*-7 -5 (- 1)* 3 (e) k-7 | 3 (2) k = -7 k+1…

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Q: 3x² +7x+28 f(x) x2 + x+7 A Using partial fraction, evaluate x3 + x2 +7x aX the decomposed fraction…

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

Q: Find the derivative of the function. f(x) = In(sinh(x)) f '(x) =

A: f(x) = ln(sinh(x)) here we use chain rule f'(x) = cosh(x)/sinh(x) f'(x) = cot(h(x))

Q: Find the general solution of ydy/dx =2/(3x2). O a. y?/2 =-2x/3+ C O b. y/2=-2/3x + C O c. y?/2 =…

A: 1. ydydx=23x22. The slope of the curve is 2x+1, passes through the point -3,0

Q: Complete the following KenKen puzzle to determine what is represented by x and y?

A: The rules of KenKen puzzle is: Use each number only once per row, once per column. Cages with just…

Q: Let C be a curve that is defined by x = 4 sin t and y = cos t, t E 0, 27]. Determine (a) the time…

A: Let C be a curve that is defined by x=4sint and y=cost, t∈0,2π. x=4sint⇒dxdt=ddt4sint=4cost…

Q: How can you relate antiderivatives as an opposite of derivatives in your life? explain

A: Solution is given below:

Q: x³ – 4x – 1 = 0 3 Consider the implicit curve throughout this problem. Find dy/dx and use this to…

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Q: – (x²- 1) dx using P (1 -;*)-^;* / * m in terms of A?

A: Use simple integration formula.

Q: Determine the speed along a parameterized path s(t) = (9t³, 7t²) at time t = 6 (assume units of…

A: Given problem Determine the speed along a parameterized path s(t) = (9t3 , 7t2 ) at time t = 6…

Q: Express the polar coordinates (-2, -7) as Cartesian coordinates. (2, 0) (0, -2) O (0, 2)

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Q: Find the indicated derivative. f (x) = x° sin x; find f(4)(x).

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Q: 4. The surface described by the equation x2 + y + z² = 0 is a(an) (a) elliptic paraboloid symmetric…

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Q: dx If x2 - 2x – 4 is solved by trigonometric substitution, which of the following substitutions is…

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Q: The figure shows the graphs of the cost and revenue functions of a company that manufactures and…

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Q: A 11. (2x- 3) dx 12 (+ 2x) dr SG²– 2) dr A -2 13. 1HIO

A: 11) ∫022x-3dx    A. -2 Explanation: ∫022x-3dx=2∫02x dx-3∫02dx                      =2x2202-3x02…

Q: -S Integrate the fallswing funChinin ver the given re R: y24x-x and yex

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Q: Find the elasticity of the demand function 2p + 3q = 270 at the price p = 15.

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Q: (9) If sin(A) = /2, sin(B) = - ½, "/½ < A < r, and n < B < 3*/2, find cos(A + B) (A) 0 (B) /2 (С) —…

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Q: EXERCISES answer page 338, letter B. (COPY & ANSWER) В. In exercises 1 to 8, refer to the triangles…

A: To answer the given questions using the given triangles. where hyp=hypotenus

Q: Question 3 of 10 0/5 !! Incorrect. Use the following theorem to evaluate the integral/ le - 4|dx.…

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Q: Find the indefinite integral. sinh(6 – 7x) dx

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Q: Given: dx x3 Using trigonometric substitution , solve for the integral form in terms of 0. A sin? 0…

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Q: Sally is standing on a wharf that is 5m above the surface of the water. She is pulling on a rope…

A: Use the trigonometric ratios and application of derivative.

Q: For the function y = f(x) = 2e-0.3x (refer to the graph in the textbook), use definite integrals to…

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Q: 3 Find the arc length of the astroid: x = cos t, y = sinº t, 0 <t < 2T

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Q: Consider A = (0, 4, 2), B = (6, -1, 0) and C = (3, 0, 1). (i) Find the unit vector having the same…

A: vector

Q: |sin(x)cos(2x)sin(3x) dx sin(3x)cos(3x), sin(2x)cos(2x) sin(2x) 12 8 8. + C 4 sin(6x) sin(2x),…

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Q: You are building a right-angled triangular flower garden along a stream as shown in the figure. (The…

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Q: Determine the critical numbers of g(x): + 16x). %3D 0= x4 - 8x2 +16 ーx4 t8x2 +0 -16 =E (-, g(x) = x…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Using Integration by parts, considerS xsec-(3x)dx = uv – f v du, then find uv – S v du

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Q: 9-x2 dx. Use trigonometric substitution. x2

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Q: Please use definite integral in solving for the area. a. y = Vĩ and y = x3

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Q: x = v2. t² Let C be the curve with parametric equations 3/2 where t E [0, +∞). 8 t+ 3 V2 8 4 '3 (a)…

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