Convert imaginary number i to exponential form. Select the correct response: e^jrt/2 en-jt e^jrt e^j90

Q: 3 5. Sesx )dx e3x.

A: Solving the problem by finding the values of the integration.

Q: 1. Find the second derivative for f(x) = (2r² – 3)* (Answer should be in simplified factored form…

A: Given problem:- Find the second derivative for f(x) = (2x2  - 3)8

Q: Activity 1.3.2. Consider the functionf whose formula is f(x) = 3 – 2x. d. Without doing any…

A: Consider the function  y=3-2x

Q: At a given moment, a plane passes directly above a radar station at an altitude of 6 miles and a…

A: Let's find.

Q: Drag each tile to the correct box. Arrange the hyperbolas in increasing order of the horizontal…

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Q: value of n

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: Derive the reductive formula for ∫ ln^n(x) dx

A: Solve using integration by parts.

Q: 2 – 5n 11п-1 n=1

A: Use ratio test.

Q: In 11 Iny S ** dx dy. Evaluate the integral 1 0 The value is

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Q: 3. A 1 000-metre track is to be built with two straight lines and semicircles at the ends as shown…

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Q: The graph of f consists of line segments and a semicircle, as shown in the figure. Evaluate each…

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Q: 8x, + 4x - X3 = 11 -2x, + 5x, + x3 = 4 2r, - x2 + 6x, = 7 4 %3D

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Q: Given the figure and f(x) f(x)d(x) = 1.05, estimate: (a) f(x)dr (b) f(x)dx (c) The total shaded area

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

Q: 7. Without using technology, solve the equation: log(x + 10) – log(x - 5) = 2 %3D

A: The given equation is: log (x+10)-log(x-5)=2

Q: geometric series n=1 b) Find the value of r such that the serie 00 Σ 5 E(-1)"- is equal to . If it…

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Q: 7 |sin? xdx 2 |sin? xdx 11 Ssin? xdx

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Q: Evaluate the following items below. Write your answer on a separate sheet of paper. 4 1. Find the…

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Q: Queslfon (2): sKetch and find Range.- ) fow= (x +2 -4 2) fra)= 4- Vx-5 7) fox)= -Ix +3| +5 り frye…

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Q: on enclosed by 4+x ア= Find the area of 4

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Q: Find s(t), where s(t) represents the position function and v(t) represents the velocity function.…

A: Given query is to find the position function.

Q: 8. Compute using the trig. substitution S x2 -dx (1–x²)1/2

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Q: Find T3 centered at x = a. 1. f(x) = 1 a = –1 2+x

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Q: What is the area of the given triangle? Round to the nearest whole number. 57 ft 38° 62 ft

A: Here we have to find the area of the given triangle.

Q: Let A = For which values of a and b will A have the eigenvalues 2 and 3?

A: The given matrix,      A=a1b0

Q: Find the area between the graph of y = x² – 2 and the x-axis, between x 0 and x = 4. %3D

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Q: Test the series below for convergence using the Ratio Test. n + 5 54n +2 n=1 The limit of the ratio…

A: The given series,      ∑n=1∞n+554n+2

Q: fr cos xdx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: -X-29 8) x* - 4x - 5

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Q: Find f. f"(x) = 8 + 6x + 24x², f(0) = 5, f(1) = 15 f(x)

A: Find your answer below

Q: 6. -30 4 2) -5 -10 40 寸

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Q: An equation of a parabola is given. x^2 = 4y Sketch a graph of the parabola and its directrix.

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Q: Use l'Hôpital's Rule to find the limit. x11X lim x→0 11* – 1

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Q: Under certain​ conditions, the number of bacteria present in a colony is approximated by…

A: Given, f(t) is the number of bacteria present at time t in minutes. f(t)=(A0)e0.022t A0= 2100000…

Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. 27 3…

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Q: What does the average velocity over the time interval [a, b) approach as we let b a. Mathematically…

A: Average velocity of a body is defined as the change in position or displacement (Δx) divided by time…

Q: Strictly NO ERASURE of any kind or change in answer, NO superimposition on final answers. Match the…

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Q: AND FUNCTIONS Finding a difference quotient for a linear or quadratic function s(x+h)-f(x) Find the…

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Q: 1 Determine the average value of f(x) over the interval from x a to x b, where f(x) 1 and b = 3 a =…

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Q: [x² sin 3xdx

A: By Parts Method: ∫u(x)v(x)dx=u(x)∫v(x)dx-∫dudx∫v(x)dx ∫sin3xdx=-cos3x3∫cos3xdx=sin3x3

Q: Find the gradient vector field (F(x, y, z)) of f(x, y, z) = x°y*2? . F(1, Y, 2) =

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Q: Find the gradient vector field (F(x, y, z)) of f(x, y, z) = In(x + 3y + 4z) . F(2, y, 2) =

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Q: For f(x)= (n+gvx)m *, find f'(0.1) and f"(0) n: Student number in his/her group. g: Group number…

A: First we find f'(x) and f''(x) of the given function and put the value 0.1 and 0 respectively

Q: The Wronskian Ww(e2*, e-2*) is equal to -4. Select one: O True False The function y = In (2x – 3)…

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Q: A concert promoter sells tickets and has a marginal-profit function given below, where P'(x) is in…

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Q: Use sine and cosine to parametrize the intersection of the cylinders x + y = 81 and x? + z? = 81.

A: Find your answer below

Q: 137n The point P(1, 0) lies on the curve y = sin 13n (a) If Q is the point (x, sin ). find the slope…

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Q: 9. Evaluate the integral by using partial fractions decomposition. 7 dx x3 – 8x + 23x

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Q: 4. (i) Use the parametric equations of an ellipse, x = a cos (t) , y = b sin (t), 0 < t 2m, to find…

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Q: This question has several parts that must be completed sequentially. If you skip a part of the…

A: Given series is alternating is convergent