Write an equation for the polynomial graphed below 4 3 2- M -5 -4 -3 -2 -4 -5 + y(x) = 7 7 2 + 4 + ·50 O

Q: | 6. Use a trigonometric substitution to evaluate x³√x²-4 dx.

A: We will find integral using  trigonometric substitution.

Q: ГО Г0 1 3 2 -а 1 2 123 b 1 3 1 0 1 0 0 3. C Ld. 324 [5]

A: 0132212313101003abcd = 3245 from this find a,b,c,d using gauss elimination method using this method…

Q: 1. The sum of three consecutive integers is 219. Find the integer.

A: Consider given consecutive numbers are x-1, x, x+1 Given condition, The sum of three consecutive…

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A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: solve for exercise 11, provide full and complete procedure

A: topic:- application of integration

Q: 5. Evaluate π/3 π/6 cos3 x sin−2 xdx.

A: 5.Solution…

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Q: 1. What is the average rate of change of the function f(x) = x² - 4x + 7 on the interval 1 ≤ x ≤ 3?

A: average rate fo change in an interval (a,b) =f(b)-f(a)b-a

Q: Solve until the 6th derivative and provide the summation notation of the taylor series. f(x) = ln 4x…

A: Explanation of the answer is as follows

Q: Evaluate the following integrals sin³ (x) cos³(x) dx

A: Given ∫sin3xcos3xdx

Q: 1. Find the exact val a) sin 3π 2 b) cot (210°) c) sec (-765°)

A: topic:- trigonometry  note:- As per our guideline if more than one question posted than only first…

Q: Find the directional derivative g(x, y) = √√√x² + y², of the function at P in the direction of v.…

A: solution is given below

Q: x=-2 of f(x)=√x²-1

A: Above question is solved.

Q: Use a graphing utility to approximate (to three decimal places) the solutions of the equation in the…

A: Using ÷ cscx=1sinx   1sin2x-8=0 1sin2x=8 sin2x=18 Now taking inverse and finding values of x we get…

Q: Find y' in y = (x³ 3x²(x²+e) x³ +3 A. y' = B. y' = C. y' = +3)(x²+e) +7x6 In (2³ + 3) +7x6 (x³ + 3)…

A: Understanding of derivative when function is there in power of any function.

Q: & 5 im 4 32 1 -2 0-3 -4 im →-1- f(x) = f(x) = _m f(x) -1 - − 1) =

A: Topic:- calculus

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Q: Find the area of the shaded region

A: Given :Function :y=1y=cos2x

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A: Understanding of volume of solid after revolution is required to solve these problem.

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Q: True or false? An inner product is a scalar-valued function on the set of ordered pairs of vectors.…

A: Given question:- True or False?

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

A: Solution ) f'(x) negative where the graph of f(x) is decreasing  Hence the interval where f(x)…

Q: (e) [ 4z. 4x · cos(2-3x)da

A: Topic:- application of integration

Q: Use the graph to find the indicated limits. -10 -5 Find lim f(x) x-3 Find lim f(x) x-3+ Find lim…

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Q: Consider the following. w = √36 - 4x² - 4y², x=rcos(8), y = r sin(0) (a) Find aw/or and aw/00 by…

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Q: In each of the following cases, find the area of the region that lies inside the cardioid = 1+ sine…

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Q: Question 8 of 10, Step 1 of 1 Let h(x) = √√x + 5. Find the function given below. h(4n+ 9), n >…

A: Let hx=x+5To find the value of the function given below.h4n+9=?where n≥-72

Q: Expand/Write out (but do NOT calculate) the Riemann sum, Rs, for the function f(x) = 1 - |x| on the…

A: The function is given as , fx=1-x on -1,14 Write the Riemann sum R5.

Q: Find the general solution of the differential equation y(4) - 4y" = t² + et.

A: Given :y4-4y''=t2+et

Q: The piecewise function /(x) is graphed below. Use geometric formulas to evaluate the following…

A: First we find f(x) , Here in interval -7≤x≤-1 f(x) is semi circle, whose center is at (-4,0) and…

Q: 2. Find the area bounded by y = x² - 2 and y = 2x + 1.

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Q: Evaluate the limit: lim (6x47x)= I→ 2 =

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Q: ¹.8 The point P(25, 7) lies on the curve y = √2+2. Let Q be the point (a, √ + 2). a.) Find the slope…

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Q: Let the transformation in and the appropriate order of how to make a graph of y= -4F(1/5(x-1))-3…

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Q: if x - 5 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = Let f(x) =…

A: This is a basic limit problem

Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 1 4x - 1 dy = y = 5 (4x-1)² X

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Q: Find the sum of the convergent series. (Round your answer to four decimal places.) Σ (sin(3))" n = 1…

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Q: Use the Monotone Convergence Theorem to show that the sequence n! +∞o (1 · 3 · 5 ··· (2n − 1)) n = 1…

A: l

Q: Solve the initial-value problem. +3dy + 3t²y = 8 cos(t), y(t) = 0 dt

A: We have to solve this initial value problem.

Q: Given the integral expressions for F and G below, select all statements that are true. F = [₁² (5x²…

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Q: 3 4 L2 3 2 2 2 4 D-1 b 3 2 51ra- 2 3. 3c ||

A: Understanding of Cramer's Rule is required to solve this problem.

Q: A function is given. g(x) = 7 + 1/2x;    x = 1, x = 7   (a) Determine the net change between the…

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Q: Evaluate the limit 4-8 lim s+4 2-√√s 8

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Q: Find the coordinates of a point on a circle with radius 20 corresponding to an angle of 160° (x,y) =…

A: Given that , Radius of circle r=20 angle θ=160° find the coordinates of a point.

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A: Given f(x, y) = 5x3 − 14xy + y3 Fomulae: ddx(xn)=nxn-1 and ddx(x)=1 By differentiating it with…

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Q: If f(x)=√x+7 and h(x) = 6 -, find f(x) + h(x). X

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Q: ۱۰۱۱ A function is said to have a horizontal asymptote if either the limit at infinity exists or the…

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