A volume is described as follows: 1. the base is the region bounded by = y² + 14y-5 and x = y² - 26y + 177; 2. every cross section perpendicular to the y-axis is a semi-circle. Find the volume of this object. volume =

Q: Q4/ For the following three matrices : k 4 k A= 0.5 2k 0.5 2 8 2k 1 3 B=m 2 1 m a- Find value of (k)…

A: Given: A=k4k0.52k0.5282k,B=13m21m,C=22161184432 We are required to: a. Find the value of k if A is a…

Q: Solve 4x cos(3x) dx using Integration by Parts. 4x 3 + sin 3x + 4 cos 3x + c

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Q: y=x² and y = √√x =√₁ 2

A: y= x2 y =x

Q: A cylinder shaped can needs to be constructed to hold 600 cubic centimeters of soup. The material…

A: A cylinder shaped can needs to be constructed to hold 600 cubic centimeters of soup. The material…

Q: Write the expression in standard form a +bi. Simplify your answer. 2 Cos A 78 + i sin ANSWER FORMAT…

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Q: 1. Differentiate the following functions f(x)= f(x) = x² cos(x) a. b. f(x) = sin²(5x) c. f(x) = sinx…

A: The given functions, a) fx=x2cosxb) fx=sin25xc) fx=sinx cosx We have to find the derivative of each…

Q: x² c² and y=c²x² is 2 C - 2 Find c> 0 such that the area of the region enclosed by the parabolas y =…

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Q: horizontal asymptote (c) Describe the end behavior of the function. End behavior: y y → as x → ∞ as…

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Q: Construct an equation that has an absolute maximum of 5 when graphed. Please show steps.

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Q: 2. Consider the function: a) Determine the derivative. y = 2sinx b) Calculate the exact value of x…

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Q: Determine the derivative with respect to 'x' of: f(x) = Cos (sin x) - sin(cos.x)

A: We know that the derivative of sinx is cosx  And cosx is -sinx

Q: 1. Determine the derivative with respect to 'x' of: a) f(x) = 4cos(x³) - sinx b) f(x)=x² cos² (5x)…

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Q: 2. A manufacturer wants to make cylindrical cans. Each must be able to hold 1200 cubic cm ofliquid.…

A: Let radius of cylinderical cans=x cm Let height of can =h cm

Q: 5. Let f(x) = sin x cos x a) Determine the first derivative, and the second derivative. b) What is…

A: fx=sinxcosx

Q: If f is a differentiable function and f'(x)=x4 point at =x²+2x³ - 15x²2, then f has an inflection 3

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Q: Self-Assessment 8) Suppose you measure the length of a house to be 60.50 ft. How many yards is that?…

A: according to bartleby guide line we do only first part of multiple questions  given length=60.50 ft…

Q: graphs are given below. a) V Y b) Y = 10

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Q: .1/3 Let ƒ(x) = x¹/³, and let T₁(x) be the nth Taylor polynomial of f centered at a =

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Q: 2. Find the anti-derivative of the function f(x) = e* sin (^te^)

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Q: Given the function f(x) = -2x³ +96x + 1, determine the intervals where the function is increasing…

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Q: Use integration by parts to find the integral. (Use C for the constant of integration.) [x² In(ax)…

A: We have, ∫ xnlnax , where a ≠0 , n≠-1

Q: In this question, you will solve a definite integral using the method of substitution. 3 Ső (4 x −…

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Q: What is the largest number that uses each of the seven Roman numerals exactly once?

A: To find the largest number that uses each of the seven Roman numerals exactly once.

Q: y = sin x, y = cos x, T - and the y-axis

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Q: State the order of the given ordinary differential equation. t6y(5) - t4y" + 5y = 0 Determine…

A: To state the order of the given ordinary differential equation. t6y5-t4y''+5y=0 To determine whether…

Q: Construct a related rates problem where the answer to said problem is 1.5 Please make the problem…

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

Q: In the space below, solve the equation 5x-3=4x+1 Show your work

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Q: Let F(x, y, z) = xi + yj + zk. Evaluate the integral of F along each of the following paths. (a)…

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Q: Water is leaking from a 2 foot tall rectangular tank at 0.1 cubic foot per hour. Suppose that the…

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Q: 1. The graph of f(x) is shown to the right. On the same grid, draw a sketch of f'(x).

A: Since you posted multiple questions, I need to solve only first question.

Q: (3) Find the equation of the line tangent to f(x)=√x atx=4

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Q: 1,0 18

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Find an equation of the line tangent to graph of F(x) x² + 1 x²_4 2 (3,2). write the equation in the…

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Q: Find a Cartesian equation relating and y corresponding to the parametric equations Write your answer…

A: x=3sin6t ,y=6cos6t

Q: 3. Determine an equation in symmetric form of a line parallel to *³ = = = 2+2 and z+7 3 -4 passing…

A: We have, given line equation: (x - 3)/3 = (y - 5)/-4 = (z + 7)/4

Q: 9. Find an equation of the tangent line to the curve x³ + y3 = 9 at the point (1.2). Solution:.. dx…

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Q: Find a plane containing the point (-2,-1,2) and the line of intersection of the planes -3x + 5y + 8z…

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Q: Find the point, P, at which the line intersects the plane. x = -7 +4t, y = −5+8t, z = 7+ 5t;…

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Q: Express the given product as a sum containing only sines and cosines. 170 2 sin COS 0 A THE CHOICES…

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Q: The equation (5)/(3)log_(4)(x)=9 can be written in the form x=2^(y) for some number y. What is y ?

A: We have to find the value of y. Conversion of log form to exponental formlogbm=x                 →…

Q: Evaluate the double integral (3.x - y) dA, where R is the region in the first quadrant enclosed by…

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Q: [ f(x) dx 3 Given that 1 ≤ f(x) ≤ 4 for 3 ≤ x ≤ 7, estimate the value of ] ≤ [ f(x)da <

A: Estimated value formula m(b-a)&lt;=int_a^b f(x) dx&lt;= M(b-a)

Q: 2. Given z(x, y) = x².3√/y+ex-y + 5 find oxoy²

A: Question 2)  Given function  z( x , y ) = x2.y3 + e4x-y + 5x2∂3z∂x∂y2 = ?

Q: a) A graph of f(x) is shown above. Using the geometry of the graph, evaluate the definite integrals.…

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Q: Use polar coordinates to find the volume of the solid below the paraboloid z = 50 - 2x² and above…

A: Here we use the polar coordinates;

Q: Question 13 Given f(x) = 3x + 7 9x² 5 V A) Find lim f(x) ° x →∞ B) Find lim f(x) ⁰ x118 " 2 pts

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Q: Without using symmetry, determine a definite integral that represents the area of the region…

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Q: Find the scalar equation of the plane that contains a(7,1,3), b(-3,4,0) and c(1,-1,2).

A: We have, Points:- A(7, 1, 3) B(-3, 4, 0) C(1, -1, 2)

Q: for fage 5 f(x)=(74³-t²45) (15t+4) f(x)= (x²1)(x²2) 6²3)

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Q: I have a problem that I really need help with:  Find f(g(4)) if f(x)=x^3/2 and g(x)=1-3x^2 I know…

A: f(x)=x3/2 , g(x)=1-3x2 We have to find f(g(4))