Q1: Find the area of the region that lies in the first quadrant under the curve √x + √y = 1. (Draw the region)

Q: (: Find the area of the region that lies in the first quadrant under the curve √x + √y = 1. (Draw…

A: The given curve: x+y=1

Q: Suppose that an accelerating car goes from 0 mph to 58.6 mph in five seconds. Its velocity is given…

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Q: 4. Express the following in cartesian form. 2 2 cos 03 sin

A: Given r=22cosθ-3sinθTo express in cartesian form:

Q: Find the line integral along the given path C. [(x - y)dx, where C: x=t, y = 3t+8, for 0 ≤t≤6 с √(x…

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Q: The function f(x) = X = (6x 3) e5 has one critical number. Find it.

A: Given function ,   f(x)=(6x-3)e5x

Q: Derive: y = (5x-2)(2x + 3)-²

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Q: Q3.If f(x,y)=sin(x-3y) + sin(x1 find: af 2x and af dy

A: We can find partial derivative with respect to 'x' and 'y' .

Q: 2. [ xsec’x cot xdx tamol svode se gniau s 3. ftsin2t dt

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Find the derivative of f (y) = 5 sin6 (yª).

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Q: Which equation shows the correct derivative of the equation y = 2x² + 14x + 5? Oy = lim- 4th + 2h² +…

A: On solving this we will get that

Q: f(x)=(6x¹-2x+1)

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Q: dx 2√√x + √x

A: Solution of given question is written in below steps.

Q: eight (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = - 16t²…

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

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question... for…

Q: 11. J√e²-1dx

A: We have to evaluate the integral.

Q: Show that the differential form in the integral below is exact. Then evaluate the integral. (1,4,5)…

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Q: In y = C₁e* + C₂е¯x

A: Given problem:- Find its differential equation through eliminating arbitrary constants.    In(y) =…

Q: 20. (x-2x³+1)dx (x² - 2x+5)

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

Q: Read, analyze and solve for the following. Express your answers as decimals rounded off to two…

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Q: For items 22-23: The equation of a curve is y = 5tanx. 22. What is the slope of the tangent line…

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Q: (5x²+4)

A: ddx15x2+43

Q: Determine the derivative of the function g(x) = 3x + 4 / 74x. Do not simplify your answer.

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Q: Q1/B) Find the length of the cardioid curve: r = 1 + cose

A: To Find : Length of the cardroid curve r=1+cosθ

Q: The function f(x) 2x³ 33x² + 108x - 6 has two critical numbers. = The smaller one is x = and the…

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Q: 1 foto Read It If f is continuous and Need Help? f(x) dx = 16, find [x xf(x²) dx.

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Q: Consider the function f(x) = 4 − 4x², −5 ≤ x ≤ 1. The absolute maximum value is and this occurs at x…

A: Consider the function fx=4-4x2, -5≤x≤1.To determine the absolute maximum and the absolute minimum…

Q: Find the derivative of f (x) = (x8 – 5x) (x² f(x)= + 10x 10).

A: Topic = Derivative

Q: Which statement is TRUE about trigonometric functions? O a. The derivative of sin x, cos x and tan x…

A: The answer with explanation is given below:

Q: A curve is given by the equation y = ln (2³+¹). x5

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Q: Define as the region bounded by the functions u(y) = √5 + 1 and v(y) = 1 between y = 1 and y = 2.…

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Q: 'the center, The radiaz Find the power series reprentation and the interval of convergence of the…

A: Given

Q: A payment of $13,000 is due in 1 year and $11,600 is due in 2 years. What two equal payments, one in…

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Q: Determine the derivative of the function g(x) = ex^2 - e(2x-5). Do not simplify your answer.

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Q: 332. f(x, y) = x² + y-e³

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Q: √5x²-3 d X - X -dx

A: Given problem:-

Q: Find all values of x in the domain F such that F’(x) does not exist. B.Find the critical numbers of…

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Q: 4. y = 4x², x = 0, y = 16; about y = 16

A: Volume = ∫ πy2dx here y = 16 -4x2 and limit from x 0 to 2

Q: Determine the constants a and b in the equation of the curve y = ax + b³ + ca+d having a critical…

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Q: The scalar equation of the line perpendicular to (x, y) = (5, 2) +r(1, -3) through the point (2, -2)…

A: The scalar equation of a line is of the form Ax+By+C=0

Q: Evaluate and Solve the function using the product and quotient rule of differentiation. Show your…

A: Here we have to use the concept of derivatives.

Q: 149. Determine the real number a such that vectors a = 2i +3j and b = 9i+aj are orthogonal.

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Q: Determine the x-coordinate of the local maximum of the curve y = (2x - 1)2 (3x+4) in the interval…

A: Given: y=2x-123x+4

Q: f(x, y) = x³+y³-300x - 75y-3

A:

Q: An inner-city revitalization zone is a rectangle that is twice as long as it is wide. The width of…

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Q: State the most appropriate technique of integration for this problem, then evaluate the integral

A: Use integration by parts  for solving this integral

Q: Question Define R as the region bounded by the functions f(x) = 2x + 1 and g(x) = x + 1 between x =…

A: The functions f(x)=2x+1 and gx=x+1 between x=1 and x=3, the region is revolved about x-axis.

Q: Find the slope of the tangent line to the curve below at the point (5, 3). √x + 4y + /5xy…

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Q: The difference equation given by A(yt - Yt-1) can be written as

A: Given

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: SOLUTION-

Q: Fill in the missing steps to determine convergence or divergence of the following series 2(1. n-1…

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