Find dx dx 0.4 0.4 -3.3x-4+5x -4 -3.3x 5x ...

Q: Use linear approximation, i.e. the tangent line, to approximate 27.1 as follows: Let f(x)=√x. The…

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Q: +00 (-1)" n100 4" Determine whether the series Στα or divergent. Series is conditionally convergent.…

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Q: Question 26 O 12 0-8 powered by desmos Suppose that F(x) = f(g(x)), where f(2)= 3. g(2) = 5. g' (2)…

A: [26] Given F(x) = f(g(x)) where f(2) = 3, g(2) = 5, g'(2) = 4, f'(2) = -2 and f'(5) = 11 F'(2) = ?

Q: Using double integration ,calculate the volume of the solid bounded by the surfaces given by x2 + y2…

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Q: 7/5 Find f'(x) if f(x)=9x5-5x² + 10000. O A. f'(x) = 63x6/5 - 10x 6/5 B. f'(x) = 63³x6 O c. f'(x) =…

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Q: An integrating factor of the linear differential equation is μ(x) = ex Select one: O True O False y'…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: 1, Find the equilibrium point for the supply and demand functions below. Enter your answer as an…

A: we know that  the point where the demand and supply curve cross is called the equilibrium point  As…

Q: E A4 sin (e-² + ln z) + C 4 sin (-e-²) + C B O A § 4 (½ − e¯²) cos (e¯² + Inz) dz B E None of the…

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Q: 6. If z = x + iy = (x, y), then the equation z²+z+ 1 = 0 is written as (x,y)(x, y) + (x, y) + (1,0)…

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Q: lim x-x6-x O +∞ 00 ∞- O O 3 1 2 ||

A: topic - limits

Q: Find the general solution of the following differential equation. 121y" – 4y = 0 NOTE: Use c₁ and c₂…

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Q: Let f: [1,1]→ R be a function given by f(x)=2x-x2. Then the inverse image (preimage) of [0,4] under…

A: The answer is option D

Q: Solve: x²y + xy' -n²y = 0 General Solution: y = C₁ *letters only a.x2n b. x-n a.xn b. x-2n c. x2n…

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Q: 18 (x² +9) (x+3) -dx

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Q: The area A = ² of a circular oil spill changes with the radius. At what rate does the area change…

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Q: Find each limit. Use oo or ∞o when appropriate. 2x - 10 (x-10)² (A) lim f(x) X-10 f(x) = (B) lim…

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Q: Find the radius of convergence, R, of the series. 00 Σ ( + 9)" 97 In(n) n = 2 R = Find the interval,…

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Q: Evaluate (i) dx S √e xlnx√(2lnx)² – 1

A: We are asked to evaluate the integral

Q: A deposit of $1000 is made into an account that earns interest at an annual rate of 5%. If allowed…

A: what would be the resulting total account balance if the interestcompounded monthly?

Q: Solve: x²y + 4xy' + 2y = 0 Indicial roots: r₁= General Solution: y = C₁ a.x-1 b. x3 c. xinx d. e3x…

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Q: of the following indicates that the graph of the function f(z) has a horizontal asymptote th(") and…

A: The line y=2 is horizontal asymptote of the graph of f(x) if      x>Infity Lim f(x) = 2 or…

Q: A B O A OB O OD 1 13 (sin(3z))¹⁰ + C 1 33 ſ cos(3z)sin¹⁰(3z) dz 1 3 (cos (3z))¹¹ + C F None of the…

A: Here we have to find the integral.

Q: Given F(x) below, find F'(x). Provide your answer below: F'(x) = 3x² >= [² ² 1 1/3d₁ T -dt t-3 F(x)…

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Q: r(t) = ti + (2tt2) intersect the paraboloid (2) At what points does the curve r(t) z = x² + y²?

A: We are asked to find the intersection point.

Q: For the function shown below, find (if the quantity exists) (A) lim f(x), (B) lim f(x), (C) lim…

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Q: 3 f(x) = x³ on on [0, 2]

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Q: Question 15 Given ƒ (2) - This function is discontinuous at the point A O z=0 x = -2 O=12 O == 2 <…

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Q: 1. Let C be the curve described by the equation x³ + 3x²y-xy² = 3. dy dz (b) C contains the point…

A: Equation of tabgent to a curve y=f(x) at a point (a,b) is given by y-b=y'(a)(x-a)see below the…

Q: Given the matrices A - 5 -5 2 2 2 - 2 and B - 4 2 -1 -2 5 0 A. It is Select an answer to multiply…

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Q: x+3y=x².

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Q: Use the limit definition of partial derivatives to find fx(x, y) and fy(x, y). f(x, y) = x2 − 5xy +…

A: We need to find partial derivative.

Q: fe* sin 2xdx.

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Q: Find the area bounded by y = 4x -x^2 and x = 0, and y = 4 using two methods (vertical and horizontal…

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Q: Evaluate the following integral: sin²(a) da

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Q: Question 2 What is the value of lim x-0 O-6 o too 00 x² x +9-3 ?

A: We need to find here limit of our function. We can find value of limit by first rationalizing the…

Q: 4. Get the exact a. dy = cos 2x dz differentials of y = (sin 2)² b. dy=sin 2z dz dy = sin 2x d.…

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Q: y-values 86 9* 7- 6 5 4- 3- 2 1 g(x) 1 2 3 x-values If f(x) = g(h(x)), then ƒ' (1) = Submit Question…

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Q: en f(x) = (4x + 1)² ' g the chain rule? what is the first step to find f'(x) Find the derivative of…

A: We have to find out derivative using chain rule

Q: Let R be the region bounded by y = 4 – x², the x axis and the y axis. 3 2 1 = The solid obtained by…

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Q: Consider the series + (-1)" n=1 n Which of the following statements is true? The series is not…

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Q: Let f(x) = x³ + √√. Then f'(1) = 02 O 1.5 O 3.5 04

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Q: Determine any planes that are parallel or identical. (Select all that apply.) OP₁: -60x + 90y + 120z…

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Q: Find for y = dx dy dx 1 C

A: On solving this we will get

Q: 1. Determine whether the resulting series when x = -4 absolutely converges, conditionally converges,…

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Q: f(x) = O lim f(x) = 3 - Which of the following is FALSE? Olim f(x) = 3 t Olim f(x) = 3 { Of is…

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Q: Problem 1 Let = (1,2,3), 7=(2, 2, -1), and =(4,0,-4). Find 27+ 4-w. Problem 2 Let = (1, 2) and =…

A: To express vector v as a linear combination of u and w.

Q: True or False: To evaluate the integral [si we save one sine factor and use sin²x = 1 - cos²x to…

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Q: Find an integrating factor and solve the equation 4x y' = e¹x + 8y - 1.

A: Solution of given question is written in below steps.

Q: Use an appropriate test to determine whether the series converges. 1 2 3 24³ 25 By the + + + Limit…

A: here, we will use comparison test to check the convergence .

Q: (i) Determine whether or not F is a conservative vector field. F(x, y, z) = ei + (xe³ + e²) j+ ye³k

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