2√2 X 1 ²³ t³ √²-4 dt

Q: Particle P moves along the y-axis so that its position at time t is given by y(t) = 4t²5t + 7 for…

A: Given, Position of the particle P is given by yt=4t2-5t+7 The position of the particle Q is given by…

Q: Find the Taylor polynomials of degree n approximating cos(2x) for a near 0: For n = 2, P₂(x) = For n…

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Q: Suppose you are driving away from Morgantown. At noon, you are 75 miles away from Morgantown. From…

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Q: Find y'. 9) y = (5x-2)(3x + 1)

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Q: 2. Find the tangent line at the given point c(t) = (4t, In (t)); t = 1

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Q: Evaluate the following surface integral: (double integral over a surface )  x dS S is the part of…

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Q: 13) y= (х2+2х-1", бус? A) X+1 y в) чу (х+) D) — (XH) (x2+2*-1) 3/2 c) 1 2\722x-г

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Q: x - dx x² +1

A: We are required to find∫xx2+1dx

Q: g(x) = x 24 353 3x find and simplify g(x)-g (a) X+5 Given that g(x)= x-a

A: Solve the following

Q: 1. y(y³ − x) dx + x(y² + x)dy=0

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Find the average rate of change of the function over the given interval. 1) y = √√√2x, [2, 8]

A: formula for average rate of change is  =f(b)-f(a)b-agiven f(x)=2x , given interval is  2,8there for…

Q: 26) Suppose that f and g are continuous and that Ś [4f(x)+ g(x)] dx. Find f(x) dx = -2 and ľ g(x) dx…

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Q: Calculate ff f(x, y, z) dS For Part of the surface x Js f(x, y, z) ds = S - z³, where 0 ≤ x, y ≤…

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Q: Find the slope of the tangent line to the curve 3x² + xy + 2y³ at the point (1, - 2). = 11 -

A: use implicit differentiation for finding the slope of the tangent line.

Q: 5 4 什 Y f(x) 3 6 9 f(x)=√ 6x-x² g(x)=4-|x-10| h(x)=1 |x-15| g(x) 12 h(x) 15 + x Use the formulas for…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Calculate the derivative of: f'(x) = sec² (15x) f(x) = COS -¹(15x) sin ¹(15x)

A: Given function:- fx=cos-115xsin-115x

Q: The graph of the function f is given. 24 18 y 12 6 0 6 y = f(x) (i) L (sample points are left…

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Q: Given the geometric sequence: 27 2 find a formula for the n-th term: ao = 3, a₁ = an , 92 = 243 4…

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Q: In 1626, Peter Minuit purchased Manhattan Island from the Native Americans for $24 worth of trinkets…

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Q: Determine an equation for the level surface of g that would pass through the pointa: (-7, -2, 5).…

A: We need to find level surface.

Q: (-15 ) 20 dx 备

A: Given indefinite integral ∫( 5x - 54x ) dx

Q: Evaluate the integral. √3 √1/√31 8 + x² dx

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Q: In the right traingle in the figure below, if cos A = the triangle has what length? 2 , and the side…

A: we know that cos(x)=basehypotenuse

Q: Find dy/dx if y=sin ¹(7x). Answer:

A: As per guideline only one question is allowed to solve if multiple question is asked is single…

Q: Calculate the slope of the tangent to the curve of the following formulas: y = -x + 6x + (x + 9)² at…

A:

Q: (x) = 6x3+8x2−4x Step 2 of 2:  Evaluate f″(8), f″(−10), and f″(−4), if they exist. If they do not…

A: Given f(x) = 6x3+8x2−4x

Q: Consider the function: f(x)=x2−32x⎯⎯√−6f(x)=x2−32x−6 Step 2 of 2 :   Use the Second Derivative…

A: The given function fx=x2-32x-6. We have to find its local maxima and local minima.

Q: The graph of f(x) is shown. वि | 45 6 7 X fl=o at x = ? DIY'S_

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Q: Evaluate the indefinite integral. 2 sin³ (x) cos(x)da = + C

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Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a…

A: Maclaurin series of function fx is a Taylor series of function fx at:…

Q: Find the slope of the line tangent to the following polar curves at the given points.

A: According to question,Given Polar curve,r2 = 4 cos 2θ

Q: S Sinx-cosy-2=0 ; 16) A) -cot X B) -cot y d) -cscy cos X E) dy = ? ax c) Cos X Sin гу 2-CCSX siny

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Q: 7x+2 8- Find S dx (Using substitution method). √7x-3

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Q: A homeowner wants to build, along his driveway, a garden surrounded by a fence. A rectangular garden…

A: Given: The side along the driveway is labeled "$6 per foot" . The remaining three sides are labeled…

Q: Let f(x) = x - x on [0, 1]. ² ƒ(0) = f(1) c Find e such that f'(c) = 0 or, if Rolle's Theorem does…

A: Given query is to find the value of c.

Q: What is the are between the graph of y=4x³+2 and the x-axis from x=1 to x=2

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Q: Use properties of the indefinite integral to express the following integral in terms of the simplest…

A:

Q: A company manufactures mountain bikes. The research department produced the marginal cost function X…

A: NOTE: Refresh your page if you can't see any equations. . the marginal cost function is given by…

Q: 1. An airplane heads due north at 280 mph. It experiences a 38 mph crosswind flowing in the…

A:

Q: For problems 1 and 2, you are given three measurements from an oblique triangle. Use them to find…

A: Question 1,Given,            α=23°, β=48° and a=14To find : Find the side c.

Q: 1. adß+ ßda+aß(3da+dB) = 0

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Consider the function f(x) = 12x5 + 60x4 100x³ + 6. f(x) has inflection points at (reading from left…

A: Let's find inflection points of given function.

Q: Let f be the function defined by f(x) = -3x² +1 x - 13 x < 2 x ≥ 2 (a) Evaluate lim f(x), lim f(x),…

A: A function f(x) is said to be continuous at x= a iff limx-&gt;a-f(x)=limx-&gt;a+f(x)=f(a)

Q: etch the region enclosed by y = 3x and y = 5x². Find the area of the region.

A: Topic:- application of integration

Q: Cumulative world production of solar cells for generating electricity is predicted to be 58e0.43t…

A: According to question,Given Function,y = 58 e0.43 t

Q: 10- There is a rectangular playing field in Alaska Denali Park for a grizzly Bear with an area of…

A: NOTE: Refresh your page if you can't see any equations. .

Q: cả tên l x-6 The graph of R(x)= Find the equations of any vertical, horizontal, or oblique…

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Q: The graph below is the function f(x) 5 4

A: From Graph : f(2) = 1limx→2f(x)=2≠f(2) Therefore limit does not existThe function is not continuous…

Q: Suppose that f(x, y) = 2x + 7y and the region D is given by {(x, y) | − 5 ≤ x ≤ 3, -5 ≤ y ≤ 3}. D…

A: To find the double integral value.

Q: m(x)=ln(4-x^2) Find domain

A: