Consider Mean Value theorem for derivative for function f(x) 4(1-2x) in interval [0,1]. TCOS(TX) -

Q: = 0.3t centimeters per minute 2. The depth of the water in a tank is changing at a rate of r(t) O,…

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Q: Question 7 AL Given that APOBDEA and APOCA are semicircles with centre O and P respectively. AP = 10…

A: We can solve the given question by the help of trigonometry.

Q: 49 - x² Evaluate the integral: dx 8x² (A) Which trig substitution is correct for this integral? x =…

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Q: Show that the equation is homogeneous and find its solution. dy/dx=x+y/x

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Q: anchor 1, anchor 2 One of the guy-wires forms an angle of a = 0.3 radians with the antenna and the…

A: Let's solve part d and e.

Q: Consider the triple integral JJJ (x+y+z)dV E where E is the solid enclosed by the cylinder x² + y² =…

A: Let's solve A and B part.

Q: Find the capital value of a fort at a strategic location, where the annual rent is $950,000, paid in…

A: Given, Annual rent=$950,000, interest rate=8%=0.08

Q: Find the equation of the plane that passes through the points (3, -2, 2), (-9, 2, 4) and (-6, -4,…

A: We need to find equation of plane.

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 integration by using substitution method √x√2x - 1 dx

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Q: -TL 4.) x² sin(xy) dydx

A: Given ∫0π∫01x2sinxydydx

Q: Question 1. (5 marks) Find the distance between the point A = (2,2,3) and the line L : x = -1-4t, y…

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Q: 6. S e3w dw 9-4e6w

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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: 3. +ANIA (3x - 1/2 + sin x) dx

A: As you mentioned question no. 3 solved

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: Solution is given below:

Q: B. Solve the following integrals. 2.) fevdxdy

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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: Find the absolute extrema of f on the given closed interval. 1. f(x)= x³ + 3x² - 9x ; [-4,4]

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Q: a.) Show that an is a perfect square where the sequence {an) is defined recursively by an+2 =…

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Q: Which of the following describes the graph of the polar equation r = 2 − 4 cos θ? (a) A limacon…

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Q: Fill in the blanks. (Enter the domain in interval notation.) Function Alternative Notation Domain y…

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Q: Find all solutions of the equation in the interval [0, 27). 2 cos 0+1=0 Write your answer in radians…

A: Given:   2cosθ+1=0   2cosθ+1-1=0-1             {subtract 1 from both sides}   2cosθ=-1   2cosθ2=-12…

Q: 1 1-25t² dt

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Q: The Bradford family wants to establish an ongoing scholarship award at a college. Each year in June…

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Q: Find the equation of the line through P = (14, 13) such that the triangle bounded by this line and…

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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: 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: C. Find the volume of the solid generated by revolving the area bounded by the given curves about…

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Q: Find the flow of the vector field F(x, y, z) = zi + yj + xk through the unit sphere x² + y² + z² = 1…

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Q: local linear (20) 1f the graph of the function f(x) is stretched vertically by a factor 2 and then…

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Q: Find the measure of the angle between the planes 3x-4y+z=8 & 5x + y-2z = 6

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Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by 3 L(x,y) = x²…

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Q: Find two positive real numbers such that the sum of the first number squared and the second number…

A: Convert it in one variable then use double derivative test

Q: 4. A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At t = 0,…

A: Above question is solved.

Q: Suppose that F'(x) O... = 8+4ln(3/5) O... 16+4ln(5/3) = O = 8+2ln(3/5) O 16ln(5/3) = x X 2 Then F(7)…

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Q: Find the angle that maximizes the area of an isosceles triangle with legs of length / = 8. (Use…

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Q: A 170-foot tall antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is…

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Q: C. Find the volume of the solid generated by revolving the area bounded by the given curves about…

A: Let's find volume of solid.

Q: The f is equal to 2x³+x X H. In (2x²+1)2 W. In +C I (2x²+1)2 K. None of the choices +C O. In R. In 1…

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Q: 80 80 (20) If the graph of the function f(x) is stretched vertically by a factor 2 and then…

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Q: √4x+4-√√5x+1 x#3 Q18) if f(x)= x-3 k x=3 A) 15) 1 C)O by Q19) Use local linear approximation in ind…

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Q: $500 at 5% compound continusouly for 11 years. Round to the nearest cent

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Q: find the volume of the solid obtained by rotating the region bounded by  y=2x+6, y=0, x=1, x=2 and…

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Q: Let x be a continuous random variable that can take any value in the interval [0,3]. Let its…

A: Solution:

Q: When multiplied out, what are the first 4 terms of (2x+y)¹0? Show your work for full credit.

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

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Q: Find the linear approximation at x = 0 to Write your answer in the form y = Ax + B.

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Q: Let F(x) = f(f(x)) and G(x) = (F(x))² . You also know that f(5) = 3, f(3) = 2, f'(3) = 8, f'(5) = 14…

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Q: Using mathematical induction, prove that 1²+2²+3²+ ... +n² = for all positive integers > n(n+1)…

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