16x²+9y²=144, (first quadrant area)

Q: Find each function value and limit. Use -∞ or co where appropriate. 7x* - 14x2 f(x) = 8x° +4 (A) f(-…

A: topic- functions and limits

Q: Find the indefinite integral. Check your result by differentiating. (Use C for the constant of…

A: The given integral is ∫x(9-7x2)5 dx

Q: 1 Evaluate the integral [(3r*) i + (9) j + (5t + 3) k] dt. 1 [(3r*) i + (9) j+ (5t + 3) k] dt = () I…

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Q: The curve below has a horizontal tangent line at the point (1, 1) and at one other point. Find the…

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Q: 1. Using the graph below, answer the limit and continuity questions. 2, 6 8. -2 Graph of f Find the…

A: we have to find out the limit

Q: 1 X• In( coS lim (* - In(cos )) x00

A: Given

Q: dzy and -in each of the following. Find dx2 x = x= e' cost b. y = e' sint а. y = t-1

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Q: Find the general solution of the differential equation. (Use C for the constant of Integration.) dy…

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Q: Hi, I have a question but can't type it because of special characters. I uploaded an image…

A: Let's find.

Q: 2. The number, N, of bacteria in a culture at time t, in hours, is N(t) = 1000[30 + e a. What is the…

A: Topic:- exponential function  Note:- as per our guideline if more than three subparts posted than…

Q: 3

A: We will find the limit.

Q: 5. Use Linear Approximation to estimate e(-0.01). Show work

A: answer is in next step

Q: Suppose that a cylindrical can is designed to have a radius of 1 in. and a height of 5 in b the…

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Q: Find the volume oF the solid obtained by rotating about the x-axis the region by y= x' and the lines…

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Q: 2 v2x-x2 xydydx 0 0

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Q: "(x) If t(x) = Vx find ť'(x)" -2x O 2x -1/2x O 1/2x O None of these O o o o

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2) The height (in feet) of an object that has fallen for t seconds from a height of 800 feet is…

A: Topic:- calculus

Q: Find the arc length parameter along the curve from the point where t= 0 by evaluating the integral…

A: Given problem:-

Q: x- 3 – dr x' +9.x (a)

A: find integral separately

Q: 18. Find [ 2x°(2x* -1) dx

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Q: Use Shell Method to find the volume of the solids of revolution described in each item. Find the…

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Q: y =1+6.x% Osrsl for Find the exact length of the curve

A: Length of the curve

Q: Problem 7 Find the horizontal and vertical asymptotes of the function y = f(x) and use limits to…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: 4. How much should be deposited in an account paying 7.5% interest compounded quarterly in order to…

A: Compound interest

Q: 7. Find the exact x-value where the function f (x) = x +ln (x² – 1) attains a maximum value. An…

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Q: ,11,,11 x"yll The expression log can be written in the form 24 A log(x) + Blog(y) + C log(z) where A…

A: logmn=log(m)-log(n) log(m.n) =log(m)+log(n) logmn =n log(m)

Q: Use the method of substitution to find the indefinite integral. Check your result by…

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Q: Solve 12 sin (t) + 2 cos(t)- 8 = 0 for all solutions 0 <t < 277 t = Give your answers accurate to 2…

A: The given equation,      12sin2t+2cost-8=0

Q: find two real numbers whose difference is 24 d whose product is minimum, we can find th inimum value…

A: We will find the function.

Q: 9. Find the vertical and horizontal asymptotes of the function. X-8 f(x): х2 — х — 6

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Q: 1. Determine the exact value(s) of k for which the planes x– 2y + kz + 7= 0 and x– 2y – 2 = 0 have…

A: Note: According to our answering guidelines we have to answer only one question if multiple…

Q: Find the number(s) b such that the average value of f(x) = 6x? 42x +70 on the interval 0, b is equal…

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Q: The point (1,3) is on the graph of x* . y? + 5 · y = x* + 23. Find the slope of the line tangent to…

A: Please follow the next step.

Q: 2" an 2n + 1 (-1)"-1 An 5"

A: The given sequence,1. an=2n2n+12. an=-1n-15n

Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…

A: Given:   f(x) = 7x+1    ,  a = 5

Q: 135 2. y = x³, y = x + 6, and 2y + 2 = 0 (Answer: s. u.) 4

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Q: evaluate the given limit. 5. lim xcosx X00

A: Given:      limx→∞x1cosx

Q: The equation r(t) = (3t + 5) i+ (4t - 5) j+(4t) k is the position of a particle in space at time t.…

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Q: 1) Find the hundredth derivative of p (x) = (x+ x³ + x")1º (1 + x²)!' (x³ + x³ + x7). Justify your…

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Q: Given the triangle 13 find the length of side x using the Law of Cosines. Round your final answer…

A: This question is related to Triangles, we will solve it using given information.

Q: a). Find the specific solution to the 2nd order non-homogeneous differential equation d²y dy 12y =…

A: a)The given differential equation,d2ydx2-dydx-12y=30x

Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

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Q: Consider a rectangle with the following property. Perimeter: 112 meters Let w represent the width of…

A: A rectangle has perimeter 112 meters.

Q: 2) Use the Chain Rule to express the second derivative of f •g in terms of the first and second…

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Q: Let's practice on how to complete the square because this will help us to identify whether the given…

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Q: Problem 4 Use the rules of differentiation to to find the derivatives of the function (a) f(x) =7–…

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Q: 8. Using the Mean Value Theorem and Rolle's Theorem, show that3 + x – 1 =0 has exactly one real…

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Q: Point A is launched horizontally away from a wall and a(t) represents Point A's distance from the…

A: Concept: Graph theory: Graph theory is analyzed in terms of points and lines. . It is a branch of…

Q: Problem 9 Compute the derivatives of: (a) f(x)= e6z²+3z (b) g(x) = r°e² (c) h(x) = In(3r“ + 2x)

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