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Q: The graph of f(x) is shown. At which of the point(s) is f '(x) 0? E A D B C

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Q: 5. r(x, y) = ln (x + y)

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Q: 4. · [ (8x − 3) (4x² – 3x) ³ dx x J dx √1-4x² x ·S dx 3 - 5x² 5. 6.

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Q: Find a formula for the quadratic function whose graph is shown. y X 15 f(x) = -5 30 20 10 f 5 (5,2)…

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Q: * 37 015) 15/(x)=x+cosx, xe[0, z], then the function has an inflection point at x A)- 110) C D) # 2…

A: Asked questions are solved.

Q: (b) Find the area under the curve defined parametrically as x=t²-1 and y=t³-t for 0≤t≤1

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Q: Use linear approximation, i.e. the tangent line, to approximate 101 as follows: Let f(x) = = and…

A: We need to find value using linear approximation.

Q: In the Taylor series expansion of e* about x = 2, the coefficient of (x - 2)4¹ is (a) 24 (b) 4! (c)…

A: Taylor series of function fx at a is defined as:…

Q: What is the solution of 3x2 + 6xy2 + (6x2y + 4y2 ) y' = 0

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Q: 4. f(x, y) = 5xy - 7x² - y² + 3x − 6y + 2 5. f(x, y) = (xy − 1)² 6. f(x, y) = (2x - 3y)³

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Q: 2 n (2k + n)2 k=2

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

A: We have to find the interval of convergence

Q: Find the tangent line approximation for √1 + x near x = = 5. ||

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Q: Problem Revolve about the (a) x-axis and (b) y-axis the area enclosed by y² = x and y = x³.

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Q: Which of the following is not an indeterminate form? * ∞-∞ O Option 1 0/0 O Option 2 1∞ 1/0

A: Topic = Limits Correct option = 4

Q: [1 0 1. Let A = (i) AB (ii) BA (iii) Is AB=BA? 2 -5 2 -3 4] 1 -1 1] VY and B = 2 3 -5 0 6-2 -1 -3]…

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Q: The rate in which the balance of an account that is increasing is given by A'(t)=375e^(0.025t).…

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Q: 10. f(x, y) = x/(x² + y²)

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Q: For what values of a are the vectors (4, -2, a) and (9, a², a) orthogonal? O -6 and 6 0 O -2√3 and…

A: Equate dot product of two vectors to zero

Q: y=ex5

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Q: its not 1

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Q: Let g(x) be the inverse function to the differentiable function f(x). If ƒ(0) = 1 and ƒ'(0) = 8,…

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Q: The projected population of a certain ethnic group(in millions) can be approximated by p(t) =…

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Q: Recent studies indicate that the average surface temperature of earth has been rising steadily. Some…

A: To find the slop and  t intercept.

Q: Which of the following statements is CORRECT? x³ + x 1 = 0 has no solution in [0, 2] Ox³ + x-1=0 has…

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Q: Let x³ + yª + 8x + 3y = 7. Computeat (2,1)

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Q: Find the nth Maclaurin polynomial for the function. f(x) = ex, n=5

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Q: I. Find the general solution of the following: 2x* 1. dx 2.d = xy 3. dy = (6e³x + 1)dx

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Q: ✓1 - cos e de

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Q: 9. Find a unit vector perpendicular to both [1,2,-3] and [2, -1, 4].

A: Given a=i+2j-3k b=2i-j+4k Aim : to find unit vector perpendicular to a and b

Q: Let g(x) be the inverse function to the differentiable function f(x). If ƒ(0) = 1 and f'(0) = 5,…

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Q: Explain why the function f(x)=3x+2/x²+5x+3 has no vertical asymptotes.create a rational function so…

A: Given function has vertical asymptote

Q: Q1: If the function f(x) define as f: R→ R such that f(x)= (x+1, x> 2 x²-1, x≤2 Show that the…

A: To show that function f is differentiable at point x=2

Q: Q1/ Find the derivative of the following functions: where x>0,x #1 a- y = x** x√√2x+1 b- y = exsin…

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Q: 1. 2²₂(3x-4)dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Let f(x, y, z) = n(4xy) + sin(xy² + ye*). Find fayz.

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Q: Find the area of a parallelogram having the vertices P(1, 1, -1), Q(4, 2, 1), and R(6,3,1) O √13 O…

A: To find the area of a parallelogram having the vertices P1, 1, -1, Q4, 2, 1 and R6, 3, 1.

Q: Find the solution to the differential equation dz/dt=7te^(5z) that passes through the origin.

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Q: (2 fi = f(x²+xyz, y² +22= Prove that (y²-2x) ou 2ZX) then ne (²h-x) he 18

A: Concept: Partial derivative : The partial derivative is similar to the normal derivative except in…

Q: 1 (2m-3)√4m (m-3) dm ans=1 arcsec( ² m - 1) + C

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Q: Find the radius of convergence of the power series. (If you need to use oo or -00, enter INFINITY or…

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Q: The function f(x) = = √x 2+√√4x is. increasing on its natural domain increasing on (2, 3) and…

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Q: A Ferris wheel is 15 meters in diameter and boarded from a platform that is 2 meters above the…

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Q: Use Newton's binomial theorem to calculate √50 with 4 terms.

A: You have submitted multiple questions. According to Bartleby guidelines, I'll solve the first…

Q: Consider the triple integral fff (x + y + z)dv E where E is the solid enclosed by the cylinder x² +…

A: Given

Q: The sum of two positive real numbers x and y is 3. Find an x and y among these such that the product…

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Q: Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square…

A: Each side of a square is increasing at a rate of 6 cm/s. To determine the rate at which the area of…

Q: 5. Calculate the area of the parallelogram formed by the vectors (4, 10, 9) and (3, 1, -2).

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Q: Evaluate the given indefinite integral. 7 c 7 cos √6x dx= [ (Type an exact answer. Type an…

A: Solution: ∫7cos 6xdx Apply integration by parts

Q: Evaluate € fff.₂²². e² dV where E is enclosed by the paraboloid z = 3 + z² + y², the cylinder z² +…

A: We need to find integral.