10. 2z + 3 2+2 11. 2z - i iz + 2

Q: Solution: Here f(t) = 24,0 < + <l 0,1 < t <2 Here period of f is 2L = 2 L = 1 ". The Complex Fourier…

A: Given problem:-

Q: JC LUDJE SH 31 Exercises 4.4 Use Laplace transforms to solve the given different d²y dy 1. 3- + dx²…

A: Topic:- application of integration

Q: 9. Find the indicated limit. lim (6x - 21)³ x-4 = Show any work necessary

A: Solution: As per given data   lim( x tens to 4){ (6x - 21)³} As per simple rule of limit go ahead…

Q: Diffential Equation  Topic: First Order Linear DE and Bernoulli DE 4. Find the solution of the…

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Q: Q. Solve the following Initial Value Problem (IVP): y + 3y + 2y = 6e-t at y(0)=1 and y (0)=2

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Q: Find the solution of the following differential equation. (x² - 1) + 2y (x + 1)² dy dx 1.

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Q: Gas is $5 a gallon. The vehicle gets 20 mpg. Tech makes $30 an hour. He speeds 15 mph over the speed…

A: Gas costs $5/gal  Mileage = 15 miles/gal  Thus, for every 15 miles he will pay $5 if he is not…

Q: 15. Find the inverse of matrix A. A = 38 26

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Q: 00 (-1) 22k+1 k! Determine whether the series converges absolutely, converges conditionally, or…

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Q: 10. 2 w² + 4w W 1 dw

A: Given problem:-

Q: L 1 1 {}} 2 S S + 1 S-6

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Q: A bacteria culture starts with 500 bacteria and doubles in size every half hour. (c) How many…

A: Topic:- exponential growth function

Q: i. Given that log x=12, log, y = 15 and log, z = 18. Consider the following four logarithmic…

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Q: - (f* (t² + 1)¹⁰0 dt)" dt - Some ₁ tanx 1 + t2 d. y = e. y =

A: According to Leibniz integral rule : ddx∫a(x)b(x) f(x)dx=fbxddxbx-faxddxax

Q: ) Ted, Robyn, Barney, Marshall, Lily, Stella, Victoria, Tracy, Karen, and Holli line up for a…

A: Please refer to the image below

Q: What is this character after the 16???

A: The number is  168.  The character after 16 is 8.

Q: A group of 100 students estimated the mass, m (grams), of a seed. The cumulative frequ curve below…

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Q: Consider the following. Function Line f(x) = x³ 3x-y + 8 = 0 Find the slope of the given line. slope…

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Q: Q4: Let y=√ and 1= x² then y) = 0 if n= a) 2 b) 3 c) 4 d)5 e) others

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Q: dy = 2e-2y, y(0)= 5. Solve the initial-value problem: dx 3 Write Answer In Simplest Form And Show…

A: We need to solve D.E.

Q: Use the second fundamental theorem of calculus to evaluate the following: 1 1 + 1 + sin 0 5) de 1 -…

A: Value of definite integration is given.

Q: 21 = 106 55 104 102 ܐ

A: We have to find the sum of the series.

Q: 6. [ sinxcosxdx

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Q: 1-x² 1-x 10 f(x, y, z) dy dz dx

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Q: 45. I= (A) 2 (C) 3 +c, then f '(1) is equal to - 14 2 2-x ปี = √/²=Xx dx = ²√ √/²² (x) + c (B) 1…

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Q: The graph of y = f(x) is given. 5 4 1 -4-3-2-1 123 -1 324 2 2 -5 -6+ State the value of each limit,…

A: Consider

Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

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Q: 4 + 5x² 4x + x³ dx

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Q: log x² loga +log(xy)² +loga (*)-( log x loga xy • a, x and y are real numbers that are greater than…

A: Given that logaaxy+logaxy2+logaxy-2logxloga-alogax2Solution :logaaxy+logaxy2+logaxy-2logax-x2logaa…

Q: Determine the maximum and minimum of each function on the given interval 9 a. f(x) = x³ - 12x + 2,…

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Q: A fabric wholesaler, The Dynamic has fixed the cost of $3,200 and a production cost of $12 for each…

A: Given  let number of bundle = x fixed cost = $3200 and $12 each bundle    a.

Q: 8. Write the integral that gives the area of the surface generated when the curve y = sinx on the…

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Q: Simplify sec(arctan 1) 1

A: Please refer to the image below

Q: -10 5. Given the polynomial: 2x³ + 19x² + 32x - 21 A) List all of the possible rational roots: B)…

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Q: 13. The following functions are given: log3 X +3 4x-15 ● f(x) = g(x) = 2x+8 What is the value of f o…

A: To solve the following problem

Q: / which of the Following series converge and which diverge? Givereasons for your Answer Σ sechn n=1

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Q: Identify the conic section whose equation in standard form is y 2 + 8y - 10y - 34 = 0. ellipse…

A: Topic = Geometry parabola

Q: Find the area bounded by the curve r = 2 - cos Upload Choose a File

A: area

Q: Solve y' = 4xy - 2x, y(0) = 20 y(x) =

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Q: Q1: If y=sint and t= sin x, then at x = a) 0 b) c) cosl dx² d) -cosl e) others

A: I have stated the used properties in the solution

Q: dx ex+e-x 2. S dx

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Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations…

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Q: Q2: The equation of the tangent line to the graph of y=t² and t = 4x² at t = 1 is (not that x is…

A: This question can be solved using the concept of equation of tangent to a curve at a given point.

Q: 6) INVERSELY LOGARITHMIC The following information is given about a logarithmic function of the form…

A: The objective is to find the rule of the inverse of the function.

Q: Given: c = 8, a = 5, C = 67° C A B с Solve the triangle. (Do not round until the final answer. Round…

A: The Sine rule: asinA=bsinB=csinC   Given: c=8, a=5, ∠c=67°

Q: How. Solve the diff. e que (4y-cosy) dy/dx=3x² = 0, y(0) = 6

A: (4y -cosy)dy/dx -3x2 = 0 y(0) = 0 here we do this using sepration variable method

Q: Q4: Let y = √t and t= x² then y(") = 0 if n= a) 2 b) 3 c) 4 d)5 e) others

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Q: 1 Sa dy secy tany S sin ²x cos²x dx 2. S

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Q: O =^P^-^2) TAPE 2

A: Topic:- differential equations

Q: Q/ find the vector whose length -5 and its direction (60°) with x axis

A: Here, the amplitude A=5, and the angle with x-axis is θ=60°.