1. Sketch a region whose area is given by the following integrals. Then evaluate each integral by using a geometric formula. 5 2) I (2- a) 25-x²) dx

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Q: 3 Define { Evaluate the following limits as (x,y) → (1,0) of G(x, y): • along the line y=0- i.e.…

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A: A detailed solution is given below.

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Q: Find a function y(x) such that 7yy'= X and y(7) = 11. Y

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Q: Consider the position function s(t) = -4.9t² +27t+16. Complete the following table with the…

A: A detailed solution is given below.

Q: Find the exact value of the expression, be sure to justify your answers. tan sin -¹ (/)

A: Given

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A: A=lim(x,y)→(1,4)e1x2+5y2for finding limit  put x=1  and y=4

Q: The cost function for manufacturing electric drills is estimated to be: 4x²_ C(x) Where C(x) is in…

A: As per our guidelines we can answer only 3 subparts of the given question so kindly repost the…

Q: (a) Let B = 4250(1.045) give the balance of a bank account after t years. If the formula for B is…

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Q: Estimate using the linear approximation equation the value of 2023.

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Q: Evaluate the indefinite integral. S = 6x x² + 1 dx +C

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Q: Find the value of a so that √x²-5x = 4 Vx2 lim √x² + ax - X18

A: We are required to find the value of a for which limx→∞x2+ax-x2-5x=4

Q: Match each equation with its graph. (Do not use technology.) -2 (a) y = x² " ООО g h (b) y = x³ Oh…

A: Topic - Functions

Q: The function h(x) defined as: = 1 x+7 can be expressed in the form f(g(x)) where g(x) = (x + 7) and…

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Q: Given that f(x) = x² - 10x and g(x) = x + 6, find (a) f + g= (b) f-g= (c) fg= f (d) 9 =

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

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Q: 10. The approximate length, L, of rope in a ball of rope is given by the formula 4 = 4R³ 3², where R…

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Q: Ny 10- 8- 6- 4- 2- y=h(x) 6 X 8 10

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

Q: Find f(x) if f(x) = 7 +8 and f(1) = 4.

A: Given that f'(x)=7x4 -(i) and f(1)=4.Our Aim is to find the value of f(x)=?

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A: Topic - Angles

Q: 6) z = sin(x,y)

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Q: Let lim f(x) = 6 and lim g(x) = 12. Use the limit rules to find the following limit. X-5 X-5 f(x)…

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Q: f(x) X 1) Given the graph of f(x) above, use geometry to evaluate each of the following parts below.…

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Q: Consider the following vector function. r(t) = (6√√2t, et, e-6t) (a) Find the unit tangent and unit…

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Q: -2 Find the value of f(1). -2- Estimate the value of f(-1). 2 x X domain ·N· 2 For what values of x…

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Q: A conical water tower with vertex down has a radius of 14 ft at the top and is 26 ft high. If water…

A: Given :   A conical water tower with vertex down has a radius of 14 ft at the top and is 26 ft high

Q: 28 If cosa = 61 197 Find cos(a + B). Write your answer in fractional form. and cosß= where a and ß…

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Q: Find and classify all the critical points of the function f(x, y) = xye -x².

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Q: A C What are possible negative and positive coterminal angles of 240 degrees? 120°, -135° 425°,…

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Q: Which of the following functions satisfy the given differential equation? y" + 2y' =-y (a) ex D (b)…

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Q: Evaluate the limit in terms of the constants involved: lim (9t - 4at +4a) = −27+16a −27+16a((−3))…

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Q: Find a function f(x) such that ƒ'(x) = −2x² + 6 and ƒ(0) : = f(x) = -4

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Q: A car rental agency charges $100 per week plus $0.10 per mile to rent a car. a. Write an equation…

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