I If y = 2 cos x + sin 2x, find y" at x = - x=27/17-

Q: pлd¹ The rate of flow, Q of a fluid through a pipe of diameter, d and a length, L'is given by Q…

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Q: Find the flux of F across S, [/F F. N dS where N is the upward unit normal vector to S. F(x, y, z)=…

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Q: Using the graph of h(x). identify all of the values of c for which h(c) is a local maximum of…

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Q: ["h h(x) dx such that A expresses the area of the region between the functions y = el.5, y =e-1 and…

A: To write an integral in the form  such that A expresses the area of the region between the functions…

Q: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.…

A: The given equation is .The aim is to solve the given equation.

Q: olve the following integration:- 2 x² + 3 x(x-2)(x-6) ² dx

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Q: n 17 years, Anthony Beechwood is to receive $100,000 under the terms of a trust established by his…

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Q: * Lind the general Solution of - dy dr K X = xe

A: dy/dx = xex

Q: Express the limit as a definite integral on the given interval. lim Σ 2x₁² + (x₁") ² Ax, [4, 5] i =…

A: The given limit is

Q: Please show steps. Derive the Laplace Transform of the function f(t) = t² (recall that the Laplace…

A: The given function is  To find:-The Laplace Transform of the given function

Q: Evaluate the Taylor series expansion of degree four for the given function at the specified point.…

A: given

Q: for f(x) Verify that the hypotheses of the Mean-Value Theorem are satisfied √49 – x² on the interval…

A: we have given that

Q: 1 S² F(x) '9 +6² f(x) dx = 37 and g(x) dx= 18, find I' [3f(x) + 5g(x)] dx.

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Q: 1. Consider the following vectors and answer the following questions. (6,0,4), = (2,1, -3) (a) (3…

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Q: Solve the following integration :- 5 (x-3) (x+5) (x-2) dx

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Q: Q-1: For each of the given equations, first bring all terms to the left side of the equation, then…

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Q: For f(z,y)=z²+²-42-10y +100 determine local extreme points if exists.

A: we have given funciton

Q: 0. Find the volume of the resulting solid if the region under the curve y = 1 x² + 3x + 2 from x = 0…

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Q: Having wrapped up your last project, you begin to pack up when you see a text from Casey. They…

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Q: 2. Determine the value of the discriminant for the quadratic equation y = 1.4x² - 6x +5 and use that…

A: we are given the quadratic equation and we need to find its discriminant.

Q: If f(x)- 3 cos 4x- - {).₁ 0 -3 -12 4 find f'

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Q: Find the general Solution For D-E (xy-4/nx+x² sin x²) dx + x² dy =o

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Q: 9. A certain wild waterfowl that is hunted for food each year is being tracked for growth in order…

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Q: You are playing on the beach with your dog, Ohana. You throw the ball into the water at a point that…

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Q: Determine wheter the series diverges. if it converges, find its sum. n=1 4" +5" 6h Converges or

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Q: Suppose an> 0 for n≥1 and lim wan = 1 n-x What can you conclude regarding Σα1 an? n=1 The series…

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Q: a) The rectangles in the graph below illustrate a The value of this Riemann sum is left endpoint…

A: given function f(x)=

Q: Show that the curve r= sin(0) tan() (called a cissoid of Diocles) has the line x = 1 as a vertical…

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Q: The integral √x dx evaluates to

A:

Q: 9. The radius of a large balloon is increasing at a rate of 2 inches per second. How fast, in cubic…

A: Let r be the radius of the balloon and V be the volume of the balloon That is we are to find the…

Q: Use partial fractions to find the power series of the function: 52+74 (x − 9) (x + 8)

A: f(x)=5x+74(x−9)(x+8)5x+74(x−9)(x+8)=Ax−9+Bx+8

Q: f(x) || 1 x² + 1

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Q: Find the distance d between the complex number - 2 + 4i and 0. d =

A: To find the distance  between the complex number .

Q: Question 4.21) Evaluate the following limits. sin² (1)-1 A) lim 1->8/2 1-4 B) lim x-0 1-cos(2x) x²…

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Q: - 9 √²x²=2 dx = √² ((x² + 1) = 10) dx 1 + 10 1 +

A: ∫01x2−91+x2dx=∫01((x2+1)−101+x2)dx

Q: Find the exact value of cos 225. State restrictions on the following f(x): X x²-9

A: Use the formula:

Q: The graph of the derivative f'(x) is given below. On what interval(s) is the function f(x) concave…

A: The graph of derivative  is given below. To find the interval(s) on which the function  is concave…

Q: Find the value of k that makes the antidifferentation formula true [ (4x +1) 7 dx 4x + 1) ² dx = k (…

A: Integration helps to find the value of k.

Q: 100. Given that f₁² xdx = 11/1, 2 S₁² x² dx = 2 1/37, and ₁² x³ dx = 1, 3 4 Compute ¹ (1 - x)² dx

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Q: Use the Second Derivative Test to find the location of all local extrema in the interval (-21,-9)…

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Q: Evaluate the Taylor series expansion of degree four for the given function at the specified point.…

A: f(x)=ex/4,a=4A Taylor series is given by f(x)=∑k=0∞f(k)(a)k!(x−a)k

Q: K A bakery works out a demand function for its chocolate chip cookies and finds it to be d =…

A: The responsiveness of demand when the price changes is called the elasticity of demand is defined as…

Q: Use power series operations to find the Taylor series at x = 0 for the following function. cos²x…

A: Taylor's series.

Q: What is the Rank of the following matrix? 325 65 13 30-1 OA.O OB. 1 OC.2 OD.3 QUESTION 2 Fill in the…

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Q: Find the slope of the tangent to the curve - cosx- sinxat x-. -2 7/2 1

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: :) = yzi + xzj + xyk _: r₁(t) = ti + 2j + tk, 0 ≤ t ≤ 4 _: r₂(t) = t²¡ + tj + t²k, 0≤t≤2

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Q: Solve the following integration :- S. X-3 2 X²³² x ² −X +1 dx

A: To solve the following integration.

Q: 2. table. Speedometer readings for a motorcycle at 12-second intervals are given in the t (second) 0…

A: (a) To estimate the distance traveled by motorcycle during this time period using the velocities at…

Q: 7. Point (4, 6, -7) Perpendicular to n = j

A: Given that the equation of the plane passing through the point (4,6,-7) and perpendicular to n=j we…

Q: A company manufactures and sells x television sets per month. The monthly cost and price-demand…

A: