Let a > 0 and let R be the region under the graph of f(x) =  √(9 - ax) and in the first quadrant. Find "a" so that the graph of g(x) =  √(x) cuts the region R into two parts of equal area.

Q: Consider the following. u = 3i - j - k, v = -i + 5j + 7k %3D (a) Find the projection of u onto v.…

A: Given :  u=3i-j-kv=-i+5j+7k   To Find: a)Projection of u onto vb)Vector Component of u orthogonal to…

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A: here derivative of first order so order 1 here power of x is 2 so non-linear and ordinary equation…

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Q: An appropriations bill passes the U.S. House of Representatives with 59 more members voting in favor…

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Q: Examples: Find the limits of the following: 1. lim sin x = sin1 = 2 5. lim sec x = lim cos(-) = cos0…

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Q: What is area of a triangle is 1/2 square feet. base is 3/5 feet . What is the length of the base?

A: A = (base)(height)/2 1/2 = (3/5)(height)/2 height = 5/3 feet

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A: Here we use the ratio test for convergenceFor a series ∑an  then limn→∞an+1an=L then (i)  if L<1…

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Q: Find r'(t), r"(t), and r'(t) · r"(t). r(t) = (t2 + 8t)i - 5t2j (a) r'(t) (b) r"(t) (c) r'(t) · r"(t)

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Q: Consider the series (z – 9)6, (z - 9)8 E4. = (2 - 0)2 + (- 9)“ E, = (z - 9) + +... 3- 2! 9.3! 27- 4!…

A: This question can be solved using the concept of general term of series.

Q: C. VARIATION OF PARAMETERS 1. (D² + 1)y = secx tanx 2. (D2 – 3D + 2)y = 1 1+e-x

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Q: Convert the equation, 5r csc(0), from polar coordinates into rectangular coordinates. Hint: Enter an…

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Q: 1 у 3 2 y (х + 2)

A: y = (x+2)-1/2 dy/dx = (-1/2)(x+2)(-1/2 - 1) dy/dx = (-1/2)(x+2)(-3/2) dy/dx = -1/2(x+2)3/2

Q: Solve the initial value problem. 2x(y + 1)dx – ydy = 0, where x = 0 and y = -2. %3D %3D

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Q: Consider the function f(x) 1 on the interval 4, 8]. Find the average or mean slope of the function…

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Q: What is the area under the graph of y = 2- x on the interval -2, 1]? X 543-2 44 1 2 4 5 O 6 13 15…

A: Find area under the graph

Q: (0,0,0) (1,1,1) C2 C.

A:

Q: Find a polynomial f (x) of degree 3 that has the following zeros. 4 (multiplicity 2), -8 Leave your…

A: A polynomial f(x) has zeros,    4multiplicity 2, -8

Q: Convert thepoint (x,Y) from rectangular to polar Coordinates Cr,e). 4)(2,-2)

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Q: given magnitude and the same direction as u. Magnitude ||v||-5 Direction u- (-4, 6, 4) Submit Answer

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Q: Basic Derivatives: Find the derivative = (1 + vx* kx° V 8. f(x)=- 7x – 4x? x +2x y° – 5y³ + 2y 6.…

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Q: れお! /0 fi23)=4 4 (か) 2,十 F) Eanals it Ofiles)= 12 D Not if tha above

A: Given: Fx,y = x3y2 To find: Fx2,3 We know that Fxx,y is differentiation of Fx,y with respect to x ,…

Q: Use the ratio test to discuss the Con vergence or divergence of the seríes which s the Sum from n1to…

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Q: If P(A or B)=4/5, P(A)=2/3 and P(B)=3/5, then what is the value of P(A and B)? *

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Q: Find f such that f'(x)= 6x-5, f(2) = 0. f(x) =|

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Q: find the fun Ction Y= f(x) that satisfies hp Jメ 8x² + 7 , 7, F (0) = -13 コ

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Q: Homogeneous or Not? State the degree of the function. 4x^2-3xy+y^2

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Q: evaruate 6 (i-1) 13. +=3

A: Open the summation for the given value  of i

Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

A: Given functionf(x)=32x2/3differentiate w.r.t.xf'(x)=32*23x23-1f'(x)=x-13f'(x)2=x-132f'(x)2=x-23we…

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Q: a) Find the fifth term of the sequence 16 31 46 61 15' 21' 27

A: Since you have asked multiple questions in a single request we would be answering only the first…

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A: We have to find the absolute minimum value for the function  f(x) = x2 + 9x + 5.6  Over the interval…

Q: 1 2 1. Find the area bounded by the curve y =x² + 5, the x-axis, and the vertical lines x = 2 and x…

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Q: I just need help solving this integral

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Q: Sketch the graph of the given polar equations. 57 17. 0 = 6.

A: We have given a polar equation,                    (θ)= 5π/6 Now, we have to draw it's graph.

Q: 28 74.6°

A: Given query is to find the vector components.

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A: Given problem:- solve the given differential equation y' +2y=x2 y3

Q: A high-walled arena has a radius of 20 meters. Point O being the center, point A is along the…

A: Given that radius = 20 m. So, OA = OC = 20 m. Given OB = 10 m. So, BC=202+102=500=105 m.   Let, D =…

Q: Determine how many terms should be used to estimate the sum of the entire series with an error of…

A: Use the  Alternating Series Estimation Theorem and solve the problem.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: This question can be solved using the concept of equation of line passing through two given points.

Q: 3- x 3) dx → S2xe* dx

A: To evaluate the given integrals.

Q: Using the Maclaurin series for arctan(x), find the Maclaurin series for the given function. f(x)= -7…

A: Maclaurin series of arc tan (x)= ∑k=0∞ (-1)k x2k+1(2k+1).

Q: If L is a line in 2-space or 3-space that passes through the points A an B, then the distance from a…

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Q: The number of milligrams D (h) of a certain drug that is in a patient's bloodstream h hours after…

A: To solve the given problem use the following formula. ln (e x) = x

Q: Evaluate the integral. In(x) dx, y > 0

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Q: Find a formula for the slope m of the graph of f at the point (x, f(x)). Then use it to find the…

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Q: Two systems of equations are given below. For each system, choose the best description of its…

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Q: Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.002x + 0.07x + 19x +…

A: We have to solve only D, as asking in the question.

Q: Find the Taylor series centered at x 3 for the given function. f (x) = In(x+ 2)

A: Here, the given function is: f(x)=ln(x+2) Now, f(3)=ln(3+2)=ln…

Q: Find the component form and magnitude of the vector v with the given initial and terminal points.…

A: