Integrate O √25 - 2² 2 ▶ X 25 - x² O. + C V6-ਏ 25 - x² 2 dx. +C 25 - x² + C 25 - x² + C

Q: Find dw/dt using the appropriate Chain Rule. Function w = x² + y² x = 4t, y = 5t dw dt || Value t =…

A: Given: w=x2+y2, x=4t, y=5t and t=2.   Apply the Chain Rule; dwdt=∂w∂x·dxdt+∂w∂y·dydt    ...1

Q: The one-to-one functions g and h are defined as follows. g={(-8, 5), (-7, 0), (0, 6), (9,-4)}…

A: Solving the problem by finding the value of the problem.

Q: 1 2-4 를 -5 금 dr

A: Since the third question is incomplete, solve first and second integral

Q: Given the function of two variables f(x, y)= ln (√x + y6) The partial derivative with respect to x…

A: using the partial derivative,

Q: x² - 2x x3 3x² - - dx -In 1x³ 3x² 1 + C Option 1 Option 3 - -In 1x³ 3x² 1 + C In 1x³ 3x²1+ C Option…

A: SOLUTION-

Q: Describe the level curves of the function. z = x + y, c = -6, -5, 0, 1 The level curves are parallel…

A: Solution is given below:

Q: Use a sum-to-product identity to rewrite the expression. sin 5x + sin 2x sin 5x + sin 2x = (Use…

A: Using sum-to-product identity,

Q: Find z = f(x, y) and use the total differential to approximate the quantity. (1.96)2(8.98) 2² (9)

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Q: Consider the function on the interval (0, 2). f(x) = 2x + 4 sin(x) (a) Find the open intervals on…

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Q: Question 16 Find the curvature of the plane curve y = 5x² +8 at x = -1. Round your answer to three…

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Q: Integral of sin^3 y cos^5 y dy

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Q: Determine whether the series is convergent or divergent by expressing the nth partial sum s,, as a…

A: We use Series integral method to find whether the series is convergent or divergent.

Q: 3

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Q: Given cos(x)- 글 " what is the value of cos(x +)? 0 O via - IN I 12

A: Given that cosx=12. We have to find the value of cosx+π.

Q: If the first 5 terms of a geometric sequence are {12, 6, 3, the formula for the nth term in the…

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Q: 2. Prove that f(x) = |x + 1] 1| (−1,0) tangent line at has no

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: Solve the differential equation by variation of parameters. 1 7 + ex y(x) = = y" + 3y + 2y =

A: The given differential equation is;  y''+3y'+2y=1/(7+ex).

Q: The gradient vector of the function f(x, y) = ln(xy) — x³ at the point (-1, 1) is (-1,-2). Select…

A: This question is based on gradient of function at a point.

Q: Choose the normal vector of the tangent plane to the surface defined by Z = e6x²+14xy-5y² at the…

A: To find: The normal vector of the tangent plane to the surface at the given point. Given…

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: 14. Σ(-1), Inn n! n=1

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Q: The function s(t) describes the motion of a particle along a line, for any time t ≥ 0. s(t) = t²-5t…

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Q: Describe the domain of the function f(x, y) = ln(7−x−y).

A: (18)

Q: 6x − 3y + 2)dx − (2x − y − 1)dy = 0

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Q: The rate of change of N is inversely proportional to N². IfN (0) = 4, and N(2) = 6, what is N(5)? O…

A: The rate of change of N is inversely proportional to N2N(0)=4 and N(2)=6

Q: 5. Find the volume of the solid formed by rotating the region bounded by the graph of y=1+√x, the…

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Q: Find the average value of the following function on the given interval. Graph the function and…

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Q: A turkey is cooked to an internal temperature, I(t), of 180 degrees Fahrenheit, and then is the…

A: Given that , Internal temperature =180°F what is the differential equation to solve for It.

Q: Find the derivative of the following function. g(x)= 1+cos x / x + sin x

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Q: Find the general indefinite integral. (Use C for the constant of integration.)

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Q: Use a graphing calculator to determine which expression can be used to complete the identity below.…

A: topic- trigonometric identities identities useda3+b3=(a+b)(a2+b2-ab)sin2x+cos2x=1

Q: ● 0.010 Question 17 Find and simplify the function h (x, y, z) = 0 2 31 04 31 O = O 2 17 N 8 31 4 17…

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Q: Determine la derivada de ƒ (x) = 5 sec x − √√3 csc x - Llene los blancos (sombreados de azul claro)…

A: I have stated the used formulas in the solution

Q: e) x - 4y= 26er r

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Q: The graph of the function w = f(x, y) is shown below. (a) Assume that x and y are functions of a…

A: Given :w=fx,y

Q: 2) S (x³ - 7) dx

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Q: Consider the following. (Round your answers to four decimal places.) f(x, y) = x cos(y) (a) Find…

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

Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

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Q: Apply Descartes' Rule of Signs. Determine the number of possible positive and negative real zeros…

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Q: P 2. Sketch the parametric curve and eliminate the parameter to find the Cartesian equation of the…

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Q: 4. If f is a coordinate system on a line /, determine whether or not each of the following functions…

A: We need to determine whether each will be a coordinate system or not.

Q: Use the given acceleration function and initial conditions to find the position at time t = 1. a(t)…

A: (9)

Q: Part b: (**) We consider the function f(x, y) = x sin y - y cos x + X-R y Find fx(x, y), fxy(x, y),…

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Q: Let f(x, y) be a function with continuous second partial derivatives. Suppose we know that (-1, 2)…

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Q: Use the half-angle identities to evaluate exactly. sin 112.5° sin 112.5° = (Simplify your answer.…

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Q: QUESTION 5 Find the 2nd solution by reduction of order. y" - 4y +4y=0; y₁ = e²x

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Q: If u(t)=sin(t), cos(4t), t > and v(t) = , use the formula below to find the given derivative. [u(t)…

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Q: Question 6 Find the indefinite integral below. (3³¹-5sin - 5 sin(5t)j +15cos(5t)k)dt Do not include…

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Q: Devise the exponential growth function that fits the given data, then answer the accompanying…

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Q: Estimate Ay using differentials. .1/3 y = x¹/3 e³x-1, a = 1, dx = 0.1 -

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