Express the equation in logarithmic form: (a) ex = 5 is equivalent to In A = B. Then A = and B = 3 (b) e³ с = and D = = x is equivalent to In C = D. Then

Q: Question 2: A) Verify that y = c₁e-x + c₂e5x is a solution of the DE: y" - 4y - 5y = 0. B) Find a…

A: Topic = Differential equation

Q: What does the following equation represent in R3 -7x+ 5y = 0 O Line O None of the others O Plane O…

A: We can answer the question as below.

Q: Suppose directional derivatives of the scalar function f(P), at a point P = (x, y), in the…

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Q: Let f(x) be a piecewise function. Evaluate So fl f(x) dx = = if x < 2 2x-3, if x ≥ 2 (3x²+2,

A: Topic = Integrate

Q: Question [ a) Show all your work. Evaluate 3 L(x-1 (x − 1)√√x + 1dx

A: As per the rules we can answer only the first question and rest can be reposted.

Q: Suppose that the function fis defined as follows. f(x) = - 1 0 1 2 3 Graph the function f. if -2.5 <…

A: Here we have to graph the function.

Q: General solution of the differential equation 1-3xy X X X 11 2y 1 2y + 이름 4yy 1 4v ① -) (c) -음

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Q: n=1 n√n Q5: Find the area shared by the cardioid r = 1 + cos and the circle r = 3 cos 0. Graph the…

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Q: A fast-food restaurant has a cost of production C (x) When does the company start to turn a profit?…

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Q: (D) sec(a) die (E) sec(z) tan(z) da

A: You want only the sub part d and e to be solved.

Q: 1) / sen(x) 4+ cos²(x) I 1+4x² 2) [√5/2 S² 3) 0 4) 1 x² - 2x + 2 dx √ √2/2 are 0 X dr √2/2 arccos(x)…

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Q: 2. Find the area of the region inside the cardioids r = a(1+cos), a>0

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Q: Barbara knows that she will need to buy a new car in 3 years. The car will cost $15,000 by then. How…

A: This question is based on Compound interest formula.

Q: Jennifer's investment account balance grew from $400 to $432.76 in months. What annual rate of…

A: Topic = Algebra

Q: The following table shows the results of a survey of 200 authors by a publishing company. New…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Suppose H(x) = (1-2x)7. Find two functions fand g such that (fog)(x) = H (x). Neither function can…

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Q: Approximate the change in the volume of a sphere when its radius changes from r = 40 ft to r=40.1…

A: We have to given volume of sphere in term of r

Q: Consider the differential equation x²y" + xy + y = 0; cos(In(x)), sin(In(x)), (0, ∞o). Verify that…

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Q: əz and as functions of u and v if: ди dv z = 4e* ln y, x = ln(u cos v), y = u sin v H.W: find dz

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Q: The symmetric equation of the line that passes by P(1, -1, 1) and Q(3, 2, -1) is: Select one: ㅇ블 x+1…

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Q: A rectangular lot has an area of 1600 sq m. find the least amount of fence that could be used to…

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

Q: The line L with symmetric equations point P(3,-3, -2). Select one: True False E || || ~ passes…

A: solution is given below

Q: Question 12 a) 3] Find the value(s) of y such that the vectors U₁ = and U₂ = are parallel. b) Find…

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Q: dt u = xy + y z tzx x = tcost, y = tsint, z=t at t = a 4

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Q: dx S. √√x

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Q: Convert the polar coordinate (5, 1) X = y = to Cartesian coordinates.

A: Note that, cartesian to polar conversion is given by: x=rcos θ, y=r sin θ

Q: H.W: replace the following polar equations by equivalent Cartesiana equation, then describe or…

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Q: The z-transform of [n] = u[-n] is

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Q: Find the total area of the shaded regions. (-3,36) -6 ₂ Ау 40 32- 24- 16- 8- -8- y=4x (3,36) y=x 5x…

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Q: ODE. Find the general solution of the following. Show complete solution 2. (x - 2y + 3)dx + (x-3)dy…

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Q: The graph of y = f(x) is shown. Use the graph to answer the question. Find 2; -2 lim x→0- f(x) and O…

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Q: Barbara knows that she will need to buy a new car in 3 years. The car will cost $15,000 by then. How…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the curvature K of the curve. r(t) = etcos(t) i + etsin(t) j + et k

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Q: . find the derivative of the function g(x, y, z) = 3e* cos yz ,at the point P.(0,0,0) in the…

A: To find the derivative of the given function g(x,y,z) at the given point P0 in the direction  Of…

Q: Use the Midpoint Rule with n = 4 to approximate the integral. 11 K √x + 5dx = [Please enter your…

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Q: Consider a object thrown from (0,0,0) at a speed of 500 ft/sec, with an angle of 45 degrees. What is…

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Q: 15. The length of the side of a square is increased by 100%. Its perimeter is increased by A. 25% B.…

A: The length of the side of a square is increased by 100%. Its perimeter is increased by how much…

Q: The equations of three lines are given below. Line 1: 6x+4y=-8 Line 2: y = x-3 Line 3: 3y = 2x+4 For…

A: The given lines are:Line 1: 6x+4y=-8Line 2: y=23x-3Line 3: 3y=2x+4

Q: K(r)= er tre k' = d (e^) + d dr " er + dr - (re) Help with this derivative

A: Topic = Derivative

Q: Use the matrices below to perform matrix multiplication. If the operation is undefined, enter NA. B…

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Q: H.W: Evaluate the integral 1 1 SS 0 y 1. x² exy dxdy 2 2. 1 y 2² SS dxdy

A: To evaluate the following integral. 1 ∫01∫y1x2exy dx dy2 ∫12∫yy2 dx dy

Q: H.W: Evaluate the integral 2TL TL ·ss πο 5. (sinx + cosy)dxdy

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Q: dy (8) The solution of differential equation: + y = xy³ is dx (a) = x + ²+ce²ª, y (b) = x² + + ce²x,…

A: Using differential equations

Q: 4. 4 1 [x²ydxdy 20

A: The given double integral is;  x2y, x from 0 to 1, y from 2 to 4.

Q: عندما r = 3 cm تكون : V= r3 فان قيمة اذا كان 173 ب. 110 115 C dv dr 113 j

A: We can find the answer as below.

Q: Use the nth term test to show that the series is divergent, or state that the test is inconclusive n…

A: We have to use the nth term test to show that the series is divergent, or state that the test is…

Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

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Q: ·S In (x) √xln(x)-x =dx

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Q: The inverse of a matrix A is denoted by A-1 such that the following relationship is A A-¹ = A-¹A = I…

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Q: 10 نقاط * Find the Laplace Transform Q3\ to the following function L sin2t cos3t

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