Find the Taylor polynomial of degree 3, centered at   a = 0   for the function   f ( x ) = √ x + 7

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A: Given: slope of the curve= 3x4-x2  and passes through the point (0,1)To Find: Equation of the curve

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A: Topic:- application of derivatives

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Q: How do you answer question 1. Please write out each step and explain in detail what you are doing.

A: We have to find equation of Circle.

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A: The given series is ∑n=1∞3n51-n

Q: 11. The point (9, 16- A. (3,4)

A: y=f(x)after transformation y=f(x)(x,y)→(x , y)(9,16)→(9 , 16)=(9,4)

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Q: Arley's Bakery makes fat-free cookies that cost $1.70 each. Arley expects 30% of the cookies to fall…

A: Total cookies = 200 Total cost = 200 * 1.7 = 340  Arley wants 45% markup  total revenue = 340 * 1.45…

Q: Exercise: Find unit vector perpendicular to the F .P(1.1.1). Q(2.1.3). R (0.2.1) and find area of…

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Q: Consider the initial value problem x' = 4x², x(0) = x0. For what value(s) of zo will the solution…

A: This question can be solved using the concept of differential equation.

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A: The given curves are x=2+y-42 and x=3.   Now find the point of intersection between the curve…

Q: Problem 11. Discuss the function f(x) = in terms of its concavity, inflection points, and local…

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Q: B-The result of dy/dx for the following function is COS X y 1+sin x

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Q: A ball is thrown straight down from the top of a 482-foot building with an initial velocity of -15…

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Q: Q4) A) Determine the following 1)√√²/1dx 1)ƒ cosxdx 2) S dx 2+3sinx

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Q: Additional Activities What function will you differentiate to get each function? 3. g(t) = -3t2 +…

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Q: A rectangular box is to conta 125 in³. Find the dimensions of the box for which the surface area is…

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Q: X e. (1 + x + X/21 + X²/31 -)-(1-X + X ²121 - X/31 --) + 2 5 2x+2 +2+- 3 5 3! 2 (2n+i)' 8 EX n=o…

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Q: et z = 6ex²y³ find O 12xy³ex²y³ O 18x²y²ex²y³ O 18xy³x²y³ O 12x²y²ex²²³ дz ax

A: Given, z=6ex2y3

Q: Define the following sets: A = {1,3,7,9,10) B = {2,5,7,8,9,10) C = (0,1,3,10) D=(2,4,6,8,10) E = {x:…

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Q: Let Calculate the derivative using the product rule. f(x) = and g(x) = which means that f'(x) = and…

A: Given :y=x3x2+x5

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Q: Find the horizontal asymptotes f(x) = = Justify your answer. 5x3 √9x6 + 4x² − 1

A: topic- horizontal asymptotes

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Q: Sy² sin(3y³ + 4) dy

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Q: Mark heard that he could triple his money in 13 years if he invested it in a large business. What…

A: This question is related to compound interest, we will solve it using given information.

Q: 5 Does the series Σ("η 2)" n=1 converge or diverge?

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Q: Use the method of variation of parameters to find a particular solution of the following…

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Q: 2x+1 x²-7dx 1

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Q: An investment of $13,000 was growing at 6.5% compounded quarterly. a. Calculate the accumulated…

A: Answers of the all above question is

Q: Use the comparison test to decide if the integral converges diverges or if the test is inconclusive

A: Use the comparison test for improper integrals

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Q: Use the binomial series to find the Maclaurin series for the function. 4 f(x) = √√1+x DO 1 f(x) = 1…

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Q: Use the formula Py_ PM 71−(1+i)~* | PV=

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A: We have to find the f-1'(3).

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Q: X 2000 A television camera at ground level is 2000 feet away from the launching pad of a space…

A: We know that derivatives of xn is nxn-1. And d(tan-1x)/dx = 1/(1+x2).   Here i attached the solution…

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Q: Theorem (Lindelöf covering theorem): Let A be a subset of the Euclidean space R" and let f be an…

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Q: 1. A stone is dropped into a still pond. Concentric circular ripples spread out and radius of…

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Q: Q3) Use double integration to find the area of the shaded region between the y-axis and the curve x…

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Q: What are the domain, range, and period of the function f(0) = 2csc(0 + 1)₂

A: solution:-f(θ)=2cscθ+π4=2sinθ+π4sinθ+π4≠0θ+π4≠nπθ≠nπ-π4Domain: all real θθ≠nπ-π4,…

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Q: Consider the following matrices: 2 A = [23] 24 B = -1 -⠀ -⠀ C = 0 3 2 Perform the following…

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Q: Find fog and go f. f(x)=√√x-6, g(x) = x³ + 1 (a) fog (b) gof Find the domain of each function and…

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Q: Find an orthonormal basis [b₁,b2, b3] of spam[13] where B = {(1,0,1), (1,0,-1), (0₂1. 2)}, using the…

A: Please follow the next step.

Q: Q5/Change the polar equation 2r = 2 + cos8.(2r - 1) to Cartesian equation

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Q: Q.2B) If we substitute the polar coordinate x = r.cose & y = r.sine continuous function w=f(x,y)…

A: I am going to solve the problem by using some simple calculus to get the required result of the…