2 p(x) = a₁ + ax + a²₂x² + ... + 10x⁹ = k = 1, 2, 3, ..., 9 •P(---) 10 1 k 00

Q: Find the derivative of the following functions using derivative rules. A) f(x) = x5 f'(x) = B) f(x)…

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Q: Find a particular solution to Yp y" - 2y + y = 8.5et t² + 1

A: y"-2y'+y=

Q: Differentiate. y = In (4x² - 7x+5) y' =0

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Q: . lim z--2 A) 1 A B /2x+5-1 x+2 B) 0 C) ∞ D) -∞ E) does not

A: we need to find out the limit."As per the rules, we are supposed to answer the first question and…

Q: Find the area of the following region. The region common to the circles r = -8 sin 0 and r=4 The…

A: The region common to circles and

Q: 3. ftan5 4x sec³ 4xdx.

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

Q: In(19/t+1) 4/t Minimum Level of Stabilization: 2.73125 Maximum Level of Stabilization: 3.740625…

A: Minimum level of stabilization: 2.73125Maximum level of stabilization: 3.740625

Q: Suppose you are given a function f. Explain, using complete sentences, what you need to do to (1)…

A: Given that we are given a function f,now we need to find (1) the exact x values where f might have a…

Q: Find the smallest number n of terms needed to obtain an x 9 approximation of the series accurate to…

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Q: Inx 2. Let f be the function given by f(x) = for all x > 0. The derivative offis given by 1- ln x…

A: The given function is; f(x)=lnx/x

Q: Determine the derivative of the following function with respect to a: 75 +¹rsin (r) 4,

A: f(x)=π5+π4xsin⁡(x)

Q: Inx for all x > 0. The derivative of fis given by x 2. Let f be the function given by f(x) = f'(x)=-…

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Q: Find the average rate of change of the given function on the interval [4,5]. h(x)=5^x2+7x−4

A: To find the average rate of change of the given function on the interval .

Q: 11. Find the equation of the line tangent to the parabola y=x²-3x+2 and perpendicular to the line…

A: Determine the equation of tangent line

Q: Find the area between the curves. y=x2 − 9x + 3  and  y=x2 + 9  from  x=0  to  x=6

A: The region between the curves  from The graph of region

Q: Consider the parallelogram induced by the vectors +1-[1] and di-[222] where x is an unknown real…

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Q: Which of the following planes are parallel? P1: 15x-6y +24z = 17 P2: -5x + 2y - 8z = 6 P3: 6x - 4y…

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Q: Find the present value of $2000 payable at the end of 3 years, if money may be invested at 4% with…

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Q: Compute the following values for the given function. f(x, y) = 3xye(x² + y²) f(0, 0) = f(0, 1) =…

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Q: K What is the slope of the line tangent to the graph of y=tan(-x) at x = - 4? The slope of the…

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Q: Find the partial derivatives of the function B || || w = √3r² +8s² + 6t²

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Q: For the demand function q = D(p)=√√450- p, find the following. a) The elasticity b) The elasticity…

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Q: 7. A = [1 2 3], B = 3 4 5

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Q: Find the points on the curve where the tangent pairs.) x=9-t², y = t³ - 12t (x, y) = horizontal…

A: Given, x =9-t2y = t3-12t

Q: Write a polynomial f(x) that satisfies the given conditions. Degree 3 polynomial with integer…

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Q: q(x)=−9x3 −9x2 −6x+6 Is the graph of q(x) concave up or down at the point with x-coordinate 1?

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Q: Let f(x) = 2e * +5 1+e=x The graph of is given below. Use the graph of f to determine the given…

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Q: A = 24 13]. B , B = 0 3-2 4 5

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Q: Problem 3 Find the areas of the following regions contained in the (x, y)-plane. (1) R = {(x,y) :…

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Q: 4. Find a formula for the nth derivative f(n)(x) of f(x) = ln(1+3x). Show some work computing the…

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Q: Sketch the region bounded by the curves. Find the exact coordinates of the centroid. y=e¹, y=0, x=0,…

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Q: Find the derivative of the function. e Su -5u e y = e 5u <-5u + e

A: Quotient rule:

Q: Solve the differential equation. du dt = (5t^4)/(ut^2+u^4t^2)

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Q: Suppose that a forest fire starts at point P and spreads in every direction at a speed of 30…

A: Suppose that a forest fire starts at point P and spreads in every direction at a speed of 30…

Q: K Find f'(x) and f''(x). 2 x - 3x X+ 1 f(x)= f'(x) = 0 f'(x) = 0

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Q: es of x in the interval [0,2ë] at which the graph 0 as a horizontal tangent.

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Q: Q2. Suppose that rsin(yz²); Apply appropriate chain rule to find W = x x= cos(t), y = t², z=et. to

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Q: 1. 003 400 050

A: 2.

Q: Q1. Let f(x, y) = 3xy +/- $. 1 8 (a). Find far(x, y). (b). Find fay(x, y). (c). Find fyy(x, y). 100⁰

A: we need to find out the partial derivatives.

Q: In 2004, an art collector paid $155,328,000 for a particular painting. The same painting sold for…

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Q: Evaluate the following integral 8 ["* e* dx е 0

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Q: Compute the curl and divergence of the vector field F(x, y, z) = (1, 2², 2yz). 1+x² Is F…

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Q: A spherical tank with a radius of 3 meters is half-full sitting on the ground. Set up an integral…

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Q: A particle is moving with the given data. Find the position of the particle. a(t) t²8t +4, s(0)= 0,…

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Q: For any two nonparallel vectors a and b, it holds that Select one: O 3a + b 3|a| + |b| O|3a + b =…

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Q: Classify the equation as a contradiction, a conditional equation, or an identity. 3[x2(x 3)] 3 = -3x…

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Q: Find f. f"(x) = -2 + 36x - 12x2, f(0) = 2, f'(0) = 18

A: Given, .Given,  f(0)=2, f'(0)=18.We know,

Q: Differentiate. dy dx In x y= 12 X ||

A: we need to find out the derivative of the given function.

Q: Find the differential of each function. (a) y = dy U 44 U-4 (b) y = (1+r5)-2 dy =

A: Givena) b)

Q: 2. General Change to Standard Form (Ax+By = C form) 2 y + 4 = = (x − 8)

A: