-7x Find an equation of the line tangent to the graph of G(x) = e The equation of the line is y=. at the point (0,1).

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A: To find the relative extrema first we  find the critical points. The critical points are the values…

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A: Value of inclination is evaluated.

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A: ∫-12 4x+5dx

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A:

Q: b.) Inside r= 3 sin and outside r= 1 + sin &

A: This is a problem related to area calculation of the polar curve. Based on the general formula and…

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A: It is reflection about y axis

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A: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

Q: 10. Z+Z = |z| O True O false

A:

Q: (242²-121²) 242*121 O 1 O 2/3 O 11/3 O 3/2 ||

A: This question is based on formula  a2 - b2 = (a-b)*(a+b)

Q: lim (3x - 5) x--1

A: limx→-1(3x-5) = limx→-13x - limx→-15  [ lim(a - b) = lim a - lim b ]                         = 3…

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A:

Q: n°xf(x) dx = x₁ If f is continuous on [a,b], then A) True B) False <f(x) dx

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Q: n np ₂ (²+1), J пр I)

A: Topic = Integration

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Q: 3- Find the length of the curves in Exercises 1-4. x = = (y3/2/3) - y¹/2 from y = 1 to y = 9

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Q: The Laplace transform of e erfc(√i) is? 1 a) √s (s −1) 1 √s (√s-1) 1 √s (s +1) 1 √s (√s +1) b) c) d)

A: As we know that erfcz=1-erfzand laplace transform of error function erfz=1ss+1and also we have the…

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Q: I Find A of The Matrix A: 229232 1274252 23kg ① 11 221 312 미시 2097 175 1225 1pisuall O 3

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A: This question is based on modulus of complex number.

Q: Suppose that F(x) is a function such that F"(x) = f(x). Which of the following statements is true? […

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Q: IF y = u+ + 3u2 & u = 2x 64x3 + 30x 8x(8x2 – 3) الخيار رقم 1 خيار 3 Find dy dx 8x(8x2 + 3) 8x(8x3 +…

A: We can find the derivative as below.

Q: The equation N (t) 500 models the number of people in a town who have heard a rumor 1-49e 0.7t after…

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Q: If f is differentiable and f'(x)=x³-2x²-x+2, then fis increasing or

A: Given, x³−2x²−x+2=f' We equate the given function to zero for critical points. x³−2x²−x+2=0   Step…

Q: Determine the support reactions at the fixed support. Neglect the size and weight of the beam.

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Q: Q4) Find the maximum eigen value for the system 4 = x (0) = (1 1) 4 with initial vector

A: Eigen value

Q: Find an equation of the line tangent to the graph of f(x) = a) at (1,1); b) a (-37) at a) The…

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Q: Evaluate the following indefinite integral. dx 9x

A: solution:-∫19x6 dxusing integration formula:-∫xn dx=xn+1n+1+C

Q: Find the area of the region between the line y = 2 - x and the x-axis, for 0≤x≤ 4.

A: Given query is to find the area under the curve.

Q: Q1. Determine the Inverse Laplace Transforms: 45-4 a) 1 [ (542) (5²74) ] 1) 1 [ 21 g (5 +10)]

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Q: 3- Find the length of the curves in Exercises 1-4. x = (y3/2/3) - y¹/2 from y = 1 to y = 9

A:

Q: Determine the surface area of the swimming pool. Given that the water in the pool has a uniform…

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A:

Q: Find y = x-6 dx dx

A: Given,y=x-6                                                             (1)…

Q: Q3/ Evaluate four of the following integrals. a. S sinx cosx 1+cos2x dx_b. f*¹ dx c x²

A: INTEGRATION

Q: In Problems 1-4, find the Laplace transform of the given function. Determine a condition on s that…

A: To find the laplace transform of the given function.

Q: Use power series operations to find the Taylor series at x = 0 for the following function. 8x ex The…

A: Taylor series function y=8xex at x=0

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A:

Q: Use the graph to answer these questions. a. Find lim f(x) and lim f(x). X-4* X-4 b. Find lim f(x).…

A: The graph of the function is  To evaluate: a. limx→4-fx and limx→4+fxb. limx→4fxc. f4d. Continuity…

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A:

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A: We have to find out solutions

Q: Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). f(x) = -x² + 3x - 6…

A: