1. Find the Taylor polynomial p3 centered at a = 7/3 for f(x) = = COS I.

Q: 5. Solve for x² − x+6 x³ + 3x 1³ dx.

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Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

A: Find critical points by putting derivative of f  equal to zero

Q: What is the equation of the sphere whose center is at (0, -3, 8) and with a radius of 5? Select the

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Q: Solve, finding all solutions in [0,2) or [0°,360°). 18 cos²x = 9 The solution(s) in [0°,360°) is/are…

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Q: 2. Approximate In (0.93) using a Taylor polynomial with n = 3. Round your answer to seven decimal…

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Q: If u(t) = and v(t) = , use the formula below to find the given derivative. d[u(t) × v (t)] = u' (t)…

A: Using given formula find derivative

Q: Given the initial condition y(0) = 2, what i the particular solution of the equation √x - √ (x² +…

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Q: The function s(t) describes the motion of a particle along a line, for any time t ≥ 0. s(t) = t² -…

A: Given function: st=t2-5t+5

Q: Evaluate the double integral. Sxy² da, D is enclosed by x = 0 and x =

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Q: The rate of change of N is inversely proportional to CSC(x) · N(x), where If N () = 1, and N (5) =…

A: Given: dNdx∝1cscx.N

Q: The function s(t) describes the motion of a particle along a line, for any time t ≥ 0. s(t) = t²-5t…

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Q: Find ow/os and aw/ot using the appropriate Chain Rule. Function Values w = sin(7x + 8y) x = s+t,…

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Q: Determine la derivada de ƒ (x) = 5 sec x − √√3 csc x - Llene los blancos (sombreados de azul claro)…

A: I have stated the used formulas in the solution

Q: At which octant will you find (-8, 13, -1/2)?

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Q: Find all values of x and y such that fx(x, y) = 0 and f(x, y) = 0 simultaneously. f(x, y) = x² + 5xy…

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Q: Utilice la regla del producto para derivar y = (2x² + 2x + 1) (3x - 4) Llene los blancos (sombreados…

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Q: The temperature at any point (x, y) in a steel plate is T = 900 -0.7x² - 1.1y2, where x and y are…

A: topic- partial differentiation

Q: Find the derivative of the function f(x) = (5x^4)/12

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Q: Adding more people to a job will reduce the amount of time needed to complete the job. Change in…

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Q: Find (i) the net area and (ii) the area of the region above the x-axis bounded by y = 36-x². Graph…

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Q: 1. Use the fact that coshx = (e* + e) and sinhx = 1 NIH (ex - e-*) to solve for 1 coshx+ sinhx dx

A: ∫exdx=ex+c

Q: The graph of the function w = f(x, y) is shown below. (a) Assume that x and y are functions of a…

A: Given :w=fx,y

Q: Multiply and simplify. (1 + tan ß)² (1 | + tan ß)² = [ (Simplify your answer.)

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Q: a. A rectangular pen is built with one side against a barn. If 200 m of fencing are used for the…

A: As per the guidelines we are supposed to answer only first question and rest can be reposted..

Q: Find the definite integral that will compute for the area of the region bounded by y = tan x, x = 0…

A: We can find the area bounded by the curve .

Q: Question 1 [3 a) { exact: 1: Verify that the differential equation is (cos(x)+2x + y)dx+(−…

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Q: Question 3 Find a vector-valued function, using the given parameter, to represent the intersection…

A: We need to find r(t).

Q: Find fx and f, and evaluate each at the given point. f(x, y) = exy², (In 6, 2) = (No Response) (No…

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Q: 23. Given f(x) is graphed below, sketch f-1(x) on the coordinate plane with f(x). (1,2) -5- 0 (1, 1)…

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Q: Solve the initial value problem: y(x) = 0. dy da + 3y = 7, y(0) = 0

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Q: √5-x² LIL -√5 Jo 0 5 I² +2² (x+y) dy dz da

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Q: Estimate Ay using differentials. 1/33x-1, y = x ¹/3 e³x-1. a = 1, dx = 0.1

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Q: Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the…

A: Here, the given parametric equation is: x=1-t2, y=2t-t2, -1≤t≤2

Q: A rectangle is constructed with its base on the diameter of a semicircle with a radius 18 and with…

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Q: -π/3 sinx-cosx sinx+cosx Evaluate f dx

A: To evaluate the following integral.∫0π3 sin x-cos xsin x+cos x dx

Q: 3. What are the values of A, B, and C so that a. A = -2, B = 3, and C = 4 b. A = 2, B = 3, and C= -4…

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Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: Differentiate implicitly to find dy/dx. ²+ y² - y² = 29 dy dx 11

A: This question is based on implicit differentiation.

Q: Use partial fractions to find the integral. S 4-x 2x²+x-1 Step 1 Rewrite the polynomial as 2x² + x1…

A: topic- indefinite integral

Q: IV. Approximate the following up to 4 decimal places using Maclaurin’s series. 1. sin (110°) 2.…

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Q: Find all the zeros. Write the answer in exact form. 2 v(x)=x²³ −5x² + 4x+6 If there is more than one…

A: Find out the zeroes of the polynomial.

Q: -2 t Evaluate √5+² dx

A: To solve the given definite integral problem.

Q: The one-to-one functions g and h are defined as follows. g={(-8, 5), (-7, 0), (0, 6), (9,-4)}…

A: Solving the problem by finding the value of the problem.

Q: Differentiate implicitly to find dy/dx. cos(x) + tan(xy) + 4 = 3

A: The given function,   cosx+tanxy+4=3

Q: Find the average value of f over the region D. f(x, y) = 6x sin(y), D is enclosed by the curves y =…

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Q: Evaluate sin'0 cos de Ꮎ

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Q: (b) pre every x + 2 if x≤2 2 F(x) = ) + x² = (x +7 if x>2 - CX pie where I on 5) Sketch the function…

A: The Solution is given below

Q: The table provides various values, including select minimums and maximums, of a particular cosine…

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Q: The value of an investment of $1000 earning 9% compounded annually is 110 V(I, R) = 1000 where I is…

A: Given that, the function is VI,R=10001+0.091-R1+I10. Obtain the value of VII,R.…

Q: 6. (8x³ − 6x² + 12x − 9)dx (x²-1)³ √x 8. [ V4 – x2 xdx 10 9. § (2x³ + 5)¹⁰ x² dx 7. S - dx

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