3. Find 4 {0 21 jucosudu } using the properties of Laplace transform.

Q: 2. Find each indefinite integral CS Searned with (278x²) da eamscanner 2.5

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Q: dy e2y-1

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Q: What two nonnegative real numbers with a sum of 66 have the largest possible product? The numbers…

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Q: Question 9 Find the simplified form of the derivative of y = Š Oy= 3 csc 3 CSC (3x) 3 csc 3z = cot…

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Q: Consider the space curve r(t) = (cost cos 2t, cost sin 2t, sin t). (a) Find r(t).

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Q: A. Write the expression as a single Integral. Choose your answer from the box. Letters only. A. f…

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Q: (-5,5) 14(x)=x²-19 9. f(-5) = (5)²-19 = 25 -19 - 6 b. lim x²-19 X→-5 = (-5) ² -19 = 25-19 C f(-5) =…

A: Let's find.

Q: Activity 4: Determine whether the functions below are continuous or not on a given point or a given…

A: A function f(x) is continuous at a given point x=a   if following conditions are hold: (I)…

Q: using least cost method

A: The total cost using least cost method is Rs 284

Q: Find the indefinite integral. Solution in handwritten. 1. f(x²-9)(2x) dx (-8x)√3-4x²dx 2.

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Q: Find the laplace transform of ƒ (t) = 2t² + 4t – 5 OF (s) = 5s5+484+4s³ 86 OF (s) -58²-4s+4 83 OF…

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Q: Use the appropriate technique of integration to compute the following antiderivatives. SHOW THE…

A: Solve the following

Q: 55. the sum of the first 80 positive integers 56. the sum of the first 120 positive integers

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Q: Question 1 Differentiate: arcsin Oy/x 01 O x/y O (E) None of these 0 0 (# )+ + arccos (²-) = 1

A: Differentiation

Q: 2. Let f be the function from {a, b, c, d, e} to {1,2,3,4} with f(a) = 3, f(b) = 1, f(c) = 2, f(d) =…

A: givenf(a)=3f(b)=1f(c)=2f(d)=4f(e)=2

Q: g(t) How many people contracted the lu 7. Suppose that f(t) is the rate at which snow is falling at…

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Q: Find the divergence of the vector field F. F(x, y) = 4xe*i - 6x²y²j

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Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: ∫0π22cos4xdx,  n=4Then ∆x=π2-04=π8The subintervals are 0,π8,π8,π4,π4,3π8,3π8,π2By midpoint…

Q: Produce graphs of f that reveal all the important aspects of the curve. Then use calculus to find…

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Q: Let C₁ be the circle r = 3 cos 0 and C₂ the cardioid r = 1 + cos 0. O (a) Find all point (s) of…

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Q: Evaluate the iterated integral. (x + y²) dx dy THERE

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Q: M8 M8 Με 4. Σ 15. Σ 6. Σ n=1 (n + 3)" 47² nt 1 – 5η4 (n + 3)" 4" η

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Q: Question 6.5: In Example 6.4 we did an ideal thermodynamic analysis of the General Electric T700…

A: answer is in next step

Q: Match each of the following parametric Equations with a plane curve : x(t) = 3 + 6sinh(t). y(t) = 2…

A: We are authorized to answer three subparts at a time, so we are answering the first three subparts,…

Q: Q/ By uesing chain rule Find du de For this functions E² +1 x² + y² X x = tanzt, y = e 2x a = / 11 ?

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Q: Evaluate the iterated integral. [²] (x² - y²) dy dx

A: Given: I=∫-11∫-44x2-y2dydx   As we know that; The Power rule; ∫xndx=xn+1n+1+C

Q: Question 3 Differentiate: y = arccot (x)+ arctan 01 O (E) None of these Ⓒ2x O 1-2x O < Previous 1-2z

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Q: 6. 22x+x dx

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Q: Problem 4. If A is a skew symmetric nxn matrix such that n is an odd number, evaluate det(A).

A: This question is related to Matrices and determinants , we will solve it using given information.

Q: Consider the polar curves C₂: r = 4 cos 0 and C3 : r = 4 sin 0. (a) Determine the slope of the…

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Q: Determine whether the series converges absolutely, converges conditionally, ges. 4n Σ(-1)", n³+1 n=2

A: Use alternating series test for checking the convergence .

Q: Assume P and Q are points on the graph of the function y = f(x). If the a-coordinates of P and are a…

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Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. a. So f(x) dx…

A: Let's find.

Q: The f sin 2x cos 2x dx is 1+3 cos 4x 1 sin²4x + C 24 1 In|1 + 3 cos 4x| + C 12 {A} {B} {C} - In|1 +…

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Q: If F(x) = f(t) dt, where f is the function whose graph is given, which of the following values is…

A: Integration is the area between the curve and x-axis.

Q: 7. ft³10t+-3 dt

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Q: 1) Calculate the following integrals. b) √₁6x²=1 -dx

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Q: Determine as and an for each geometric sequence. See Example 2. 15. a₁ = 5, r=-2 16. a₁ = 8, r=-5 +…

A: geometric series

Q: Determine whether the series converges or diverges. 4n³ n²-4 n=2

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Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = t2…

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Q: The cos³4 dy is {A}-sin+sin³¹+C 3 4y 4 3 3 {B}sin-sin³¹+ C 3 4 3 (c)-sin-sin³+C {D}sin+sin³+ C

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Q: Let f(x) = 3x² - 9x + 11 The slope of the tangent line to the graph of f(x) at the point (2,5) is…

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Q: B. The maximum value of f(x) is h. OC. The graph of y = f(x) is a parabola. D. If a 0, then f has a…

A: Topic:- calculus

Q: find dy/dx of each equation using implicit differentiation. a. y4 -2y2x2 + 3x2 = 0 b. (x + y)3 =…

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Q: Find curl(F x G) = V x (F x G). F(x, y, z) = i +5xj + 3yk G(x, y, z) = xi - yj + zk

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Q: 1) Calculate the following integrals 1_dx a) S 4x²+25

A: Given; I=∫14x2+25dx    .....(1)   As we know that; ∫1x2+1dx=tan-1x+C

Q: Evaluate the following 1. S sin x sin (cos x) dx

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Q: - x2 x² - 2x - 1 (x − 1)²(x² + 1) da

A: Given problem:-