Find f'(x) where f(x) = esina Of(a)=esing cos O f'(x) = sinx. ecosx ○ f'(x) = ecos sinx . O f (2) = −(cosx)esing =

Q: Find the acceleration u= 2x² + 3y, v=- - 2xy + 3y² + 3zy, Example the following flow field: W =- at…

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Q: 1. In the expansion of (x³ - 2)² one of the terms is of the form ax¹1. Algebraically determine the…

A: The given expression is:x3-2x27We need to find the coefficient of x11.

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate…

A: Above question is solved.

Q: २ 29x-x² dx

A: Given problem:- Evaluate ∫√(29x-x2) dx

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim (5x - 7) X→-6

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Q: Find the partial derivatives of the following function: z = f(x, y) = e¹²¹² fx= fxx = fxy = fy= fy=…

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Q: Find the regions where sinx sx.1

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Q: 13

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Q: 7. Thirty two teams join a beach volleyball league. The league is split into four divisions where…

A: How many games should be scheduled in total for the league??

Q: solve the differential equation for initial value problem using the method of undetermined…

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Q: What is the formula for the nth term of the sequence 5, 8, 11, 14, ...?

A: The given sequence 5, 8, 11, 14,........

Q: Find the limit algebraically by factoring the expression first. lim x--10 x + 10 -10x² + 1000

A: Follow the procedure given below.

Q: Find the derivative: y = 6 In x 6 ln x-1 x7 1-6 ln x 12 1+6 ln x x12 4 O 1-6 ln x x7 O

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Q: Write the first five terms of the sequence, give the exact answer: too n n+7 n=1 Determine whether…

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Q: 1. Show that z³+y³ lim (x, y) (0,0) 1² + y² does not exist.

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Q: Find two numbers whose sum is "a", if the product of one to the square of the other is to be a…

A: sum of two numbers is 'a', the product of one to the square of the other is to be maximum

Q: The area bounded by the parabola y² = 4x and the line y = 2x - 4 is equal to {A} 7 sq. units {B} 9…

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Q: H.W: Given the following table find x3, fo Af₁,Af₂, A² fo j xj Afo A² fo 0 fo 30 A² fo 4 20 Af₁ 2 14…

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Q: x and y are functions of a third variable t. If √√x + √= 5 and dt = 2, find when = dt 1

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Q: State the order of the given ordinary differential equation. (1-x)y" - 9xy' + 6y = cos x 2 Determine…

A: We need to find order of D.E.

Q: What value(s) of 8 are an appropriate choice when proving the following limit lim (4x - 2) = 6 x-2…

A: We have to find the epsilon delta method

Q: 5- Evaluate: f Sin (2x7 - 3) dx x6

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Q: Derivative application question please answer in full detail! A spherical balloon is being…

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Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x) |x-1| In its domain. a. What…

A: The given function is:Fx=x2-1x-1

Q: Find the derivative of h(x) = Provide your answer below: h'(x) = tant attribution 2 ;)? 2x -3x - 4

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Q: 1 dx 49 1 42 49 arcsin 7x) - 49 sin 2 arcsin 7x+C (2x) 2 (1 x)) X

A: Given, ∫ x249-x2dx

Q: A graphing calculator is recommended. (a) Find the vertical asymptotes of the function y = X = (b)…

A: Explanation of the answer is as follows

Q: 11.f (4x+5)dx √√1-2x

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Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for 5≤x≤5 f(x)= 2x…

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Q: For the function R whose graph is shown, state the following. (If the limit is infinite, enter '' or…

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x² + 3x lim x-3 x² - 4x…

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Q: Evaluate the integral [e2 cos(2x)dx.

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Q: 1 f(x) = (x² + 3x)² at [2,3]

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Q: Determine whether the differential equation (7x² − 2xy + 2) dx + (8y² − x² + 7) dy = 0 s exact. If…

A: Topic:- differential equations

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x² - 6x + 4 lim X→ 2 X-2

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Q: 17R(1,1,3), S(3,-3,6) and U(-2,4,7) are three vertices of parallelogram RSTU. a) Find the…

A: Given that the three vertices of a parallelogram RSTU are R1,1,3, S3,-3,6 and U-2,4,7 Now, let the…

Q: H.W: Solve the differential equation y'-(1+x)(1+y²)=0

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Q: Deriving the formula for volume generated by revolving the first- = quadrant area bounded by the…

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Q: Consider the following initial-value problem. y ′ + 3y = e−3t,    y(0) = 5 Take the Laplace…

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Q: Consider the utility of a consumer consuming two goods, the quantities of which are x and y. His…

A: To find out the levels of x and y which will maximizes the utility.

Q: 2- Find the equation of the tangent line to the curve 7xSin(3y) + 5y = 7 at y = C

A: Given problem:- Find the equation of the tangent line to the curve 7xSin(3y) + 5y = 7 at y = 0

Q: Question 4 Find two numbers whose sum is "a", if the product of one by the cube of the other is to…

A: To find out two numbers.

Q: Find the centroid x of the plane region y=9-x^2 bounded by the positive x and y axes. O x = 3/4 O…

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Q: For the function g whose graph is shown, find a number a that satisfies the given description. 0 2 4…

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Q: 3. Let R be the region below bounded by y² + x² = 9 and (y-2)2 + x = 1. (0,3) (a) Set up a (sum of)…

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Q: J 6x x +3 dx

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Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x)= |x-1| In its domain. a.…

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Q: 1. f(x) = 4x - 17

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: Find the derivative of the function f(x) = = sin(x) - 1 cos(2x) + 1 4

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Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x) |x-1| In its domain. a. What…

A: Explanation of the answer is as follows