Question 6 Find two numbers whose sum is "a", if the product of one to the square of the other is to be a maximum. O None of the choices O and O 0 and 2 O and 2

Q: A wall lamp is positioned 7ft up a wall. A 6ft tall woman walks directly towards the light at a…

A: We need to find rate of shadow moving.

Q: A tank contains 250 liters of fluid in which 40 grams of salt is dissolved. Pure water is then…

A: Above question is solved.

Q: PO: Given the surface 2 cos xexây 5 y a) find of the question of the tangent plane to the surface…

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Q: Marine Vessel A is 20 km west of another Marine Vessel B. If Vessel A sails east at 10 km/hr and at…

A: Marine Vessel A is 20 km west of another Marine Vessel B. If Vessel A sails east at 10 km/hr and at…

Q: How firel the center, foci, vertices and eccentricity for the following equations! x+4y²-4x-8y +4=0…

A: Concept: Ellipse: The equation of the ellipse with center at (h,k)  (x-h)2a2+ (y-k)2b2 =1 Hyperbola:…

Q: At which value of x for the function whose graph is shown below differentiable? -4 VO 8 10 12 14…

A: From the given graph, we have to find the points at which the function is differentiable

Q: a. g(3) = = b. lim g(z) C. lim g(z) d. lim g(z) = Z-1 = -4 -3 -2 -1 10 6 2 0 -2 -4 -6 9(z) 2 3 5 6

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Q: Suppose you have a 1024 mg sample of a substance known to have a half-life of 50 years. Find the…

A: Given half-life of sample=50 yrs and the initial sample is = 1024mg.

Q: A cylindrical can is to be made to hold 1000cm^3 of oil. How do you find the dimensions that will…

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Q: xdx ax + b cos ln x dx X S 2, A = 0

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Q: The curves f(x) = x² – 3x + 2 and g(x) = - z+5 intersect at the point (-1,6). ㅠ Find the acute angle…

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Q: Please write the complete solutions. Upvote will be given! Consider the region bounded by y = x3, y…

A: Please write the complete solutions. Upvote will be given!   Consider the region bounded by y = x3,…

Q: 5x lim x→0 sin 3x

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Q: a) 4x²y - 3xy³ + 6x; d) e²x+3y; b) xy; e) x+y x-y c) xy²; f) 3x²y-7x√y.

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Q: 1) dx x²+3x-4

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Q: f(x csc² 2x - x cos 2x)dx

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Q: Part One. Multiple Choice 1. Which of the following is not a true statement about limits? a) A limit…

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Q: 6dx x - √ S 3√x²

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Q: Select the correct answer to the following problems: a) f(x) f(x) dx ○ f(4) 00 ○ f(0) f(x-4) f(x)dr…

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Q: [s sin(√x)dx

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Q: 22 Determine if lim(x,y)→(0,0) x²y² 2X4+Y4 exist

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Q: Solve the integral shown below. Show your solutions. 3xe ²x dx

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Q: 26. b) Given four points A(-2, 0, -3), B (1, -2, 1), C (-2,-3,2), D ,0). Find the equation of the…

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Q: If xdy - y = - y = √√√x² + y², then A. x + √x² + y² = cy² B. √√x² + y²y = cx² C. √√x² + y² + y = cx²…

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Q: 12 1= A ✩ = OÅ and √ – OẺ . Then, AC is equal to: U= = Oa)-7-7 Ob)-7 Od-+7

A: Topic:- vector algebra

Q: Given the following vector field and oriented curve C, evaluate SF.T ds. C F= (-3y,3x) on the…

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Q: Find an equation for the line tangent to the graph of y = tan ¹ (2x) 2 1 What is the tangent line to…

A: As we know that; The slope of the tangent line to the given curve is equal to the first derivative…

Q: Express the repeating decimal as a fraction. 0.789626262626... 0.789626262626... =

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Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper…

A: We have to find the sum

Q: Consider the function f(t) = = -X 3-x (x − 3)² - if x 3

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Q: ππ 2 CAP• 0 0 0 ¢ sinr do dr dộ

A:

Q: E) If F(x, y, z) = 3x²i + 3zj - 3xk find the Div (Curl F). 0/0 0/0 0/0= az any jaz V-Vx3 = 0₂ 17 Pue…

A: First we find curlF .

Q: = h - Ꮖ = 1 x2 + x + 1 4

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Q: .) Find the limit or show that it does not exist. lim √25t²+2-5t 1-x

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Q: A car is moving with uniform acceleration. it covers 200 m in 2 sec and 220 m in next 4 sec. the…

A: A detailed solution is given below.

Q: dy For the following composite function, find an inner function u = g(x) and an outer function y = f…

A: We need to find derivative.

Q: Find the extreme values of the function f(x)=x√√1- x .- x on the interva

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Q: dy For the following composite function, find an inner function u = g(x) and an outer function…

A: Given problem:- For the following composite function, find an inner function u = g(x) and an outer…

Q: 25- Find the Maclaurin series generated by the following function: f(x) = sinh(x)

A: Above question is solved.

Q: (d) If f'(x) = g'(x) for 0 < x < 1 then f(x) = g(x) for 0 < x < 1. True False

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Q: a-(-3,-5) and 6-(1,4). Representa + busing the parallelogram method. Use the Vector tool to draw the…

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Q: Find the Volume: Rotate the region bounded by y = 7-x², x=-2 and x = 2 and the x-axis about the…

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Q: Find the special solution of ele differential equation. = 20x - 4x3 dy dx y with the initial value…

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Q: wal u a Write the vector shown below as a combination of vectors and 7 shown above. a Vector - 21+ V…

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Q: The profit function of Company ABC for a specific product is given by y = x² - 6x² + 9x and 0≤x≤ 2.…

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Q: A small metal bar, whose initial temperature was 30° C, is dropped into a large container of boiling…

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Q: Find the Maclaurin series for f(x) = ln(1+r) using the definition of a Maclaurin series. Also, find…

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Q: 4x² + 4y2 +422-8x + 16y=1 presents a sphere, and find its center and radius.

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Q: Evaluate using Partial Fraction Decomposition: (- 2. -dx

A: Use partial fraction to evaluate the integral

Q: 4dx 3 x - √√x² S

A: We will use simple Integration rules to solve this question.