36 3€ Find the laploce transform of f'(E) = e^†cos (6t) - e cos (Gt)

Q: Along the curve r(t) =ti-j+ť k, 0sts1, evaluate each of the following integrals a. (x-y+z)dx b.…

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Q: Solve triangle ABC if LA = 41.4, a = 186.2, and b 244.4. %3D %3D sin B = %3D

A: answer is in next step

Q: Which of the following statements is true about the function f(x) = a3 + 6x2? a. None of these. O b.…

A: Solve the following

Q: Julissa wants to find the measure of ZA in A ABC. Step 1: 11 = 7? + 9 - 2·9.7.co COS X Step 2: 121 =…

A: A detailed solution is given below

Q: 1. (3 - 14)3 =? (Put your result in polar form)

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Q: Question #8 C15: “Find the approximate or exact value of a definite integral using rectangles and/or…

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Q: 8 +3 dx Vx2 + 36 t,

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Q: Find the area under the graph of the function over the interval given. 18) y = 2x +7; [1, 5] A) 18…

A: We can find the area as below.

Q: Evaluate the difference quotient fla + h) - fla) for the function 7+ 3x . f(x)= 4

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Q: Question #1 C1:“Graph a variety of functions, including piecewise functions, and evaluate limits…

A: We need to solve limit problem.

Q: 1.0 1,0 -5 (2 - x for 0<x < 2, for 2 <x < 4. Let f(a) = Compute the Fourier sine coefficients for…

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Q: dy Q1. Solve the O.D.E'S y + 4 = 2x using separable of variables. dx Q2. Solve the equation x y? dy…

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Q: Find a formula for the general term a, {5, 8, 11, 14, 17, .} 5n + 3 On+3 O 3n + 2 O 2n + 3

A: We can answer the question as below

Q: Which polar equation produces a Spiral of Archimedes? 13. С. r sin e = 2 A. r cos e = 2 P. D. r= 20

A: Here we have to find the polar equation which produces a Spiral of Archimedes.

Q: Find the Taylor series generated by f at x = a. f(x) = x3 + 8x2 + 7x + 6, a = -2 O (x + 2)3 - 2(x +…

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Q: Find the solution of each inequality in the interval [0, 277). (Enter your answers using interval…

A: a)sin(x)≥0.5first and second quadrant:x≥π6, x≤π-π6[π6,5π6]b)cos(x)≤-0.5second and third…

Q: if x >0 if x = 0. Find f' (0) using the definition of derivatives. sin 4x 3. Suppose f(r) = {0 x* +…

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Q: nP 00 クの In=1 2+n3

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Q: A ball is thrown upward from a height of 1.5 m at an initial speed of 50 m/sec. Acceleration…

A: as per guideline i can only answer one question . answer is in next step

Q: S 24ecot 4z csc2 4xdx

A: To evaluate: I=∫24ecot 4xcsc24x dx⇒I=24∫ecot 4xcsc24x dx Substitute 4x=t⇒4dx=dt⇒dx=dt4: I=24∫ecot…

Q: (3) Is f(x) = 2x a solution to the differential equation f(x)–xf'(x) = 0? Explain briefly. %3D

A: The differential equation is f(x)-x·f'(x)=0

Q: 4) What is x to the power of -6?

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Q: Express the number as the ratio of two integers. 0.8333333 ... 3 3

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Q: Show that the function f defined by (x, y) = (1, –1) f(r, y) = { x2 + y (x, y) # (1,–1) r + y is not…

A: To show that the function f defined by fx, y=1, x, y=1, -1x2+yx+y, x, y≠1, -1is not continuous at 1,…

Q: Consider the function f(x) = x4 + 2x3. (a) Find the x- and y-intercepts of the graph of f (if any).…

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Q: OT# C18: "Evaluate definite integrals using Part 2 of the Fundamental Theorem of Calculus combined…

A: First of all, let's simplify: x5+11+x2

Q: 1 7 16

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Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: Let f: R->R be a continuous function that is convex on (-∞), 0] and [0, ∞)) and has a local maximum…

A: We have to show that function f is not differentiable at the point 0.

Q: 20. (g + h)(4)

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Q: What is the absolute minimum value of the function f(x) = x³ – 3x2 on the interval [-1, 4] ? а. 16 O…

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Q: In a particular very small region, the consumer price index, C, depends on the current value of…

A: Let's find.

Q: In the standard (x,y) plane, what i the distance between (3, 4) and ( 2)?

A: Topic:- geometry

Q: Evaluate: Poe Adh a. e O b. C. e O d.

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Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the giveN…

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Q: Use the figure to find the exact values of sin(2u), cos(2u), and tan(2u). (4, -7) sin(2u) -0.87 |x…

A: Topic:- trigonometry ratios

Q: The area of the base of a rectangular prism is equal to the area of the base of a cylinder with an…

A: The area of the base of a rectangular prism is equal to the area of the base of a cylinder with an…

Q: 6 Evaluate the limits lim: X+ co X 6.

A: Topic:-   limits and continuity

Q: Write each of the other trigonometric functions of e in terms of cos(@). (Enter your answers as…

A: We can solve this as follows:

Q: Evaluate (x²+4²) dxcky

A: Topic = Integration

Q: Evaluate the integral of F(x,y) = x^2 y^3 in the rectangle with vertices (5,0);(7,0);(7,1);(5,1)…

A: We have to evaluate the integral of F(x, y).

Q: Solve the following indefinite integral. Show complete solutions. Please make sure that your…

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

Q: Q/ Evaluate the integrals :- 1 + Z

A: This question is based on indefinite integral.

Q: : Find the area of the region R enclosed by the lines y= x, y x/3 and y = 2?

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Q: ind the area of the triangle whose vertices are given below. А(0,0) B(-4,3) С(3,1)

A: answer is in next step

Q: Find the area of the triangle whose vertices are given below. A(- 3,5) B(3, - 2) C(10, – 2) The area…

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Q: 17) y"+2y'+2y= 0, y(0) = 0, y'(0) = 1.

A: Topic = Differential equation

Q: A bowl of soup at 95 C (too hot) is placed in a 22•C room. One minute later, the soup has cooled to…

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Q: In a high school graduating class of 100 students, 54 studied mathematics, 69 studied history, and…

A: Topic = Probability

Q: Finel the areca of Hhe region above the x-axis bouncled by the fuunetion 9= 4x-x?. う.

A: Area of a region bounded by a curve y=f(x) is given by, A=∫abydx where a and b are points of…