[ 3x + 2 I(1+1) L₁ 1² √2²=2² dz dz r(ln(x))² dr

Q: Please see attached and : Find the domain and range of g. (Enter your answers using interval…

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Q: Select the correct graph of the derivative of the function f(x) given below. -4 -2 -2 -4 12 4 X

A: Solution: Given figure is

Q: S² Sxx-6-dx 2 (x²+2 + = ²3 ) dx X-3 Sx x²-x-6 Sx (x+2)(x-3) A X=-2 = [2ln lx+21+31n/x-31] 21n/2+21+…

A: Topic:- algebra

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Q: Decompose a = (4, -1,0) into parts parallel and perpendicular to b = (0, 1, 1). What is the…

A: I am attaching image so that you understand each and every step.

Q: (A) (B) ƒ(5) - ƒ(3) 5-3 f(3 +h)-f(3) h (C) lim h→0 || f(3+h)-f(3) h

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Q: K Evaluate using integration by parts or substitution. Check by differentiating. [(5x²-2x) e 7x dx…

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Q: Find the total area bounded by the graphs of y = cosx and y = sinx on the interval [0,2π]. O a.)…

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Q: 165. Evaluate the integral using trigonometric substitution: 3 I've -3 √9-x ²dx.

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Q: = (2, -1) and v= (-2,3). Sketch u and v. Then sketch (show how the vectors are adding up) and…

A: Given, u=2,-1,v=-2,3

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Q: dy dt y = sin (tan (9t – 1)) Find dy dt

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Q: lim y³-y y+1 y2 – 1

A: Evaluate the limit limy→1y3-yy2-1

Q: Find the transform of the given function by use of a table. f(t) = cos -4t-sin-4t A F(s) = B F(s)= C…

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Q: Using the squeeze theorem, evaluate: lim h2 + cos(h) h--> -∞ 5 + h - 2h2

A: Solution

Q: lentify the equation as a homogeneous or exact equation differential equation. then solve the…

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Q: Find the third derivative of f(x) = 3√x³-5cosx. 45 O f(x)= 4553 9 O f(x)= - O f(x)= 45 O f(x)= - 9…

A: It can be written as f(x)=3x3/4-5Cos(x)

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. X = y = X…

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Q: Write an equation of a line tangent to the graph 3x² = -3y² + 75 at the point (-4,-3).

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Q: A 4-letter list is made from the letters L, I, S, T, E, D according to the following rule:…

A: This question can be solved using the concept of set theory and using the concept of arrangements.

Q: Find the area of the shaded region. (2) A 1.39 B 1.69 D 1.25 1.50 1/4 <2, // ) X

A: I have appended the formula used in the solution part of the question

Q: large tank is filled to capacity with 300 gallons of pure water. Brine containing 4 pounds of salt…

A: we will  find the required.

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A: We have to find the area of triangle .

Q: Find the values of x, y and z that correspond to the critical point of the function f(x, y) = 4x² -…

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Q: Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the…

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Q: 2. Find the absolute maximum and minimum values of f(x, y) D = {(x, y): y ≥ x², y ≤ 4}. 3x² + 2y² -…

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Q: Find the distance (d) from the point (- 6, 1, 0) to the plane - x - 2y + 5z = d = - 49. I

A: See this solution in below.

Q: Find the total area between the x-axis and the curve f(x)= = x = 1 and x = 9. O a.) (10ln5-5ln9)…

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Q: Find the positive t when the vector →r(t)=⟨9t,9t2,9t2−23⟩ is perpendicular to →r'(t).

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Q: Marginal profit. The profit, in thousands of dollars, from the sale of x thousand candles can be…

A: Marginal profit. The profit, in thousands of dollars, from the sale of x thousand candles can be…

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Q: Using the definition, calculate the derivative of the function. Then find the values of the…

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Q: (a) f2x(x+3)¹0 dx (b) So I sin z I cos z-sin z -dr

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Q: 3 Consider the functions f(x) = x³ - 4 and g(x)=√x+4. (a) Find f(g(x)). (b) Find g(f(x)). (c)…

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Q: (12 points) Use the graph of y = f(x) in the accompanying figure to estimate the value of ƒ'(2).…

A: The derivative of the given function at "x=2" can be found by evaluating slope of red line

Q: Find the transform of the given function by use of a table. f(t) = 4 + -4t cos 39 t

A: Concept: Laplace transformation: Differential equations can be solved using the Laplace…

Q: The second derivative of et is again et. So y = et solves d²y/dt² = y. A sec- ond order differential…

A: we need to find out the other solution of the differential equation.

Q: Problem #4: Let ƒ'(x) = (sin¯¹(√x ))². Findƒ'(). Problem #4: Just Save Problem #4 Your Answer: Your…

A: Answer for question 4=2π/(33) Answer for question 5= 10.772

Q: ind the unit vector u in the direction of v = (3, - Give EXACT answer. You do NOT have to simplify…

A: Topic:- calculus and vector algebra

Q: For the following set of variables, find all the relevant second derivatives. In all cases, find…

A: This question can be solved using the concept of partial derivatives To solve this problem we will…

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Q: 9. Find the vertical and horizontal asymptotes of the following functions. (a) f(x) = 9x² - 4 2x2 X…

A: a) f(x)= (9x2-4)/(2x2-x) b) f(x)= (x2-3x4)/(x-1).

Q: (b) Use the following formulas to set up two integrals for the arc length from (0, 0) to (1.1).…

A: We need to find arc length.

Q: Determine whether the function given below has an inverse function. If it does, find the inverse…

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Q: 1. f cos³ (tan x) sec² x dx

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Q: Find the horizontal asymptote, if any, of the graph of the rational function. 18x 8x² +9 f(x)=…

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Q: Let f(x) = 3 cos x f'(x) = ƒ'( -5 ) 6 = 7 tan x

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Q: Since this response is wrong perhaps somebody would like to review it and help me find the correct…

A: There was just a calculation error in the given answer.going by non differential method to yields us…

Q: (a) Translate each point mass below to the right five units and determine the resulting center of…

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