von ² moren notional a from x = 1 to x = 2 8 y = ln x -

Q: Sketch the graph of f and use your sketch to find the absolute and lo f(x) = sin(x), 2 absolute…

A:

Q: Solve the initial value problem y" + y = 0, y(3) = 8, y'(n/3) = − 16 Oy(t) = √√√3cost + 8√/3sint…

A:

Q: B)Prove (cose + i sine)" = cosne + i sin no

A: Solution is given below:

Q: Evaluate the following integral. 48x² S dx (x-15)(x+5)²

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

Q: B)Is w = Zez analytical function or not?

A: In this question, we want to know whether the given function is analytic or not.

Q: Solve for m ffm m(8xy + x?)dxdy =3, 0<y<x<1

A: we can solve as follows

Q: Lets a real constant such that s ≥ 0 in the process of calculating = 1,500 3.1 di you get: O a) I =…

A: s real constant such that s≥0I=∫1+∞x-3.x-sdx

Q: (2) Find an expression for the area under the graph of f as a limit. Do NOT evaluate the limit. g(x)…

A: given :   g(x)=x+lnx

Q: If y = sin-¹ find Zxy-

A:

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Sketch the graph off and use your sketch to find the absolute and local maximum and minimum values…

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Q: 1(3). If f(x) = 2 cos x + x³, find 06 2 4 8

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 6x³ - 18x²…

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Q: c. Given f(x) = 2x - 3, g(x) = -4x² +9, h(x) = 4x² - 12x +9; find 1. f(x)* g(x) 2. h(x)/ f(x)…

A: To find the following values.

Q: The voltage Vin a simple electrical circuit is slowly decreasing as the battery wears out. The…

A: This question can be solved using the concept of rate of change.

Q: State the coordinates of intercept(s), end behavior, and domain and range of the logarithmic…

A: Lets have the graph of the given function to better understand above requirement

Q: 3. y" + y = sin x

A:

Q: Determine dy/dx given that y = 1+sin x COS C 1 O (1+sin x)² -1 O 1+sin x 1 O 1+sin x -1 O (1+sin x)²

A: The objective of the question is determine the derivative of the given function and choose the…

Q: B)ls w = Ze² analytical function or not?

A:

Q: Proceed as in this example to find the solution of the given initial-value problem. Evaluate the…

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Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A:

Q: Use the Inverse Function Theorem to find (h-¹)' (7) given that h(x)=√10x + 9. Note that h(4) = 7.…

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Q: Using the Inverse Function Theorem, what is (-1) (8) given that /(x)=√6x-2? Note that (11) = 8. (Do…

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Q: Given the function: f(x) = { // x³-1 x-1 if x #1 k if x = 1 What should be the value of k so that f…

A:

Q: What is the correct answer 4 isn’t right

A: Follow the procedure given below.

Q: Refer to functions p and q. Evaluate (qop)(x) and write the domain in interval notation. Write your…

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Q: Suppose that the total profit function for a company is given by P(x) = 4x³ - 210x² + 3600x - 200,…

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Q: B. Given that f(x) = {(-2,1), (1,4), (2,5), (3,6)} g(x) = 6 + 4x h(x) = -x² + 2 find

A: given

Q: Prove the limit below exists, by using the Binomial Theorem and the Monotone converge ONLY. Do not…

A: Prove the limit below exists, by using the Binomial Theorem and the Monotone converge ONLY. Do not…

Q: Evaluate the integral. 2 - 121 y - 121 2 -dy, y> 11 dy=

A:

Q: Show if the sequence converges or diverges using  L'Hôpital's rule…

A: A sequence is said to be converge if its limit  exists, otherwise diverges.L'Hospital rule:- If…

Q: dx 5 - 2x Evaluate: S O2 ln |5-2x + C -2 + C 5-2x O -1 2(5-2x) + C On 15 - 2x + C

A:

Q: Evaluate the integral. 2 Ỉ -1 7t sec ¯¹t dt 2/√√3 2 7t sec¹t dt =

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Q: [(3+y) -x³ (3+y)³] dx + x dy = 0

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Q: Write a function of x for each rule given. a) Multiplies the input by 3 and then adds 9 b) Adds 9 to…

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Q: 5.2 Consider the curve that passes through the point (0,10) and is such that the slope of the…

A: We have to find the curve that satisfies the given conditions of the problem.

Q: Find , given y = log(ev+x²). dy dx

A:

Q: B)Prove (cose + i sine)" = cosn0+ i sin no

A: See the details solution in below

Q: The vectors A = 3i+j+4k,B=2i-3j-k, find vector normal to A and In plane of A and, B.

A: To find the Normal vector to A &amp; B.

Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A:

Q: Find an equation of the tangent line to the graph of y = x³ 3x - 1 at the point (2, 1). - 09x+y+17 =…

A: We can solve this as follows:

Q: Proceed as in this example to find the solution of the given initial-value problem. Evaluate the…

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Q: Use partial fractions to find the inverse Laplace transforms of the following functions 11-3s 1.…

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Q: 1. Find each of the following derivatives. d a. dx (4 sinx) b. [ln (2x4 - 3x)]

A: We have to find derivative of given function.

Q: On which of the following interval is f(x) = O (0, +∞) O [2, +∞) O (2, +∞0) 1 x-2 continuous?

A: Given: Graph:

Q: Find the domain and range of the following function: f (x)  {(2,3),(3,4),(5,7),(10,3)}

A: Given: f (x) = {(2,3),(3,4),(5,7),(10,3)}

Q: d²y dx² dy dx -+ 2y = cos (e-x)

A: The given differential equation is;  d2y/dx2-3dy/dx+2y=cos(e-x).

Q: Find the minimum and maximum values of z=6x+7​y, if​ possible, for the following set of constraints.…

A: The given constraints are: x+y≤9-x+y≤32x-y≤12

Q: Consider the following sequence x₁ = √₁, x₂ = √1 + √I, x3 = √1+√₁+√₁ Evaluate lim xn (No credit for…

A: The given sequence,x1=1, x2=1+1, x3=1+1+1

Q: Find both first partial derivatives. z = 8y2 sqaureroot x

A: