-2 2 7e" + dy -5

Q: 1. Evaluate (i) dy dx, 3

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Q: IV. Suppose z is a function of r and y, and tan Vy² + x² = z*e®y. Solve for dz dz and

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A: Given query is to find the value of the integral.

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A: Solution is given below:

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Q: tan e de sece+ 4 cos € COS

A: The given integral is tan(phi)/[sec(phi)+4cos(phi)]

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Q: 1 -2 Inx x-1 11. lim,» x→1

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Q: 1. How to solve the values of x to find the critical values of the graph of a polynomial function?…

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Q: Suppose f(x, y) : where x = r cos 0 and y = r sin 0. 4 af af and ar Find when r 1, 0 -

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Q: CET *(z + 2) dx dy dz 2. Evaluate

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Q: Find the first derivative of y = ( ex – e –x ) /  (ex  + e –x ) and y = ln [ x  +  √ (x2  + 1) ]…

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Q: (1 – xy)-2dx + [y? + x²(1 – xy)-²]dy = 0 (y – cos?x)dx + cos x dy = 0 + Ri = E, where L, R, and E…

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Q: 2x + 3 x² + 2x + 4

A: To integrate the rational function. ∫2x+3x2+2x+4 dx

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A: Consider the Reimann sum for fx=x2+3x over the interval 0, 8 shown in the figure, where x0=0, x1=1,…

Q: Solve the following differential equation using Laplace transform 1. dx2 d²y + 25y = 10 (cos(5t) – 2…

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Q: 1. Let z = 3+ 6i and w = a + bi where a, b e R. Without using a calculator, (a) determine , and…

A: Let's find ratio of given complex numbers.

Q: 2х + 1 (х — 2)(х — 3)2

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Q: B. Direction. Find a counterexample for each of the following statements. Show your solution. Write…

A: Solve it

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Q: Yulo decided to create an origami box from an 8 cm by 15 cm sheet of paper by cutting four slits and…

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Q: 2. Differentiate cach function. Simplify as much as possible and express all answers using positive…

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Q: Let y = tan find the differential dy of the function.

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Q: MULTIPLE CHOICE Question 5 Given the following matrices, find 2B- A. -20 5 3 2 0 and B = 17-3 4-3 1

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Q: To determine the area of the region bounded by x = y^2 - y - 6 and x = 2y + 4, first we have to…

A: find the area between curve

Q: 3. Jy

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Q: Evaluate the integral Se*dx

A: We can solve this as follows:

Q: dx sin" 3x tan 3x

A: The objective of the question is evaluate the indefinite integral.

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A: Given

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Q: Find the general solution of cos x dy + (y sin x – 1) dx = 0

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Q: The rate of change of the population of a certain town is given by R(t) = 50e0.05t, where t is the…

A: The rate of change of the population of a certain town is given by R(t) = 50e0.05t, where t is the…

Q: Find the dy/dx: Given 2x x+1 y =

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Q: Direction: Translate the following notations into statements in terms of the area under the curve.…

A: LetI=∫212dxWe know that ∫abfxdx=-∫bafxdx, a<bThereforeI=-∫122dxTake constant outI=-2∫12dxWe know…

Q: Newton's Law of Cooling says that the temperature of a cooling substance is T = A + (T, – A)e*t, A…

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Q: x-4 dx x2+2x-15 9. 끓 Imlx + 51-mx-3| +C In]x In]x + 5| – In]x – 3| + C 8 Option 1 Option 2 |(x +…

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Q: Find the area between the graphs of y = x and y = (x – 2)- | O 9/2 O 4 O -9/2 O 1

A: Given: y=x and y=x-22 Now find the point of intersection between the given curve and line. y=x ;…

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Q: 1 11. lim, -2 Inx x-1

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: : Find f(t) ( Inverse Laplace Transform )of the following functions s+1 1. F(s) 2.F(s) (s +2)+n?n2…

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Q: CIT *(z + 2) dx dy dz 2. Evaluate

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