At x = 2, the slope of the curve y = 2x3

Q: 1- Find the inverse of Laplace transform of log (²+12)

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Q: -4 -2 12- -8 -4 0 2 -N What is the equation of the graph shown here? 4

A: Let's find equation of given graph.

Q: 1. Find the volume generated by revolving about x=1, the area bounded by y = (x²-₁)² and the x-axis.…

A: We have to find the volume generated by the given function.

Q: A goat that weighs 6 pounds at birth gains weight at the rate (a) Find the particular solution of…

A: Solution is given below:

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r =…

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Q: 4 F(s) = 3s7 (s²+3)

A: First to find the partial fraction decomposition of the function: F(s)=43s7(s2+3) For that let,…

Q: A curve is defined implicitly by the equation x² + 3xy + y² = 1 Differentiate implicitly to find dy…

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Q: Euler found the sum of the p-series with p = 4: ζ(4) = Σ Σ n = 1 Use Euler's result to find the sum…

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Q: Find the integral. √(x + 1)e 6x² + 12 е 12x dx √(x + 1)e 6x² + 12x dx = [

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Q: -4 -3 -2 M lowest = middle = highest = 2 N H 1 2 For the above rational function f( x ) = 16x 4x² +…

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Q: Find (ot (Sin-¹) (-1))

A: cotarcsin-36Use the following property: arcsin-x=-arcsinx=cot-arcsin36Use the following property:…

Q: f(x) = − sin ( + 7) +2 == a. Determine the amplitude, period, phase shift and vertical shift of the…

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Q: It is a fact that the function  f(x) =    25x2 + x − 5x  has a limiting value. Use a table of…

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Q: dy Find the complete solution of 2 + 4y = 1 dx

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Q: here are two regions bounded by the line y=x and the curve y=x^3, one in the first quadrant and…

A: Given problem:- There are two regions bounded by the line y=x and the curve y=x^3, one in the first…

Q: A farmer wants to fence in 6000 m² of land in a rectangular field along a straight road. The fencing…

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Q: Determine whether the lines intersect. If they do, find the coordinates of the point of…

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Q: Use the Laplace transform to solve the following initial value problem: y' + 7y - 18y=0 y(0) = 1,…

A: As per guidelines, I can answer maximum three sub parts of a question. Since you have asked for…

Q: Suppose at 10n and n(1) = -2. Answer the following. 8) Separate the differential equation, then…

A: Topic:- application of integration and differential equations     Note:- as per our guideline if…

Q: 68 3 (x + yz) dx + 2x dy + xyz dz, C consists of line segments (1, 0, 1) to (2, 3, 1) and from (2,…

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Q: on (2.41. A(x) = Incorrect

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Q: Find all fourth roots of 1 in the complex numbers.

A: Let x be the fourth root of unity x=14 x4=1 x4-1=0 Equation 1

Q: 4(2¹ – 9) - O a) The sequence isbounded Ob) The sequence is unbounded an

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Q: When you A B D E T R|N 2 None of the given choices Pa evaluate: 4 S²S²x² 0 0 xsin ²(y) dy dx the…

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Q: Show in paper. Find the integral of (2xcot(x) csc²(x)) dx.

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Q: Use the given information to find the exact function value. Simplify your answer as much as…

A: The given sinθ=25, tanθ>0 . We have to find the values of cos2θ and sin2θ

Q: # (u²-1)4 (u² + 1)4 du

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Q: Use Stokes's Theorem to evaluate F(x, y, z) = yzi + (2 − 6y)j + (x² + y²)k, x² + y² ≤ 49 S: the…

A: Let's solve part 2.

Q: Find the volume of a pyramid with height 29 and rectangular base with dimensions 6 and 9 using…

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Q: The original question did not put it right. it was (5overx) 5/x If  f(x) = 3x + 4 and g(x) =5/x

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Q: Let x = 6.99999.... (a) Is x 7 X = 7 O x < 7 and x = 7 O It cannot be determined. (b) Sum a…

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Q: 12. Find the radius and interval of convergence of the power series ∞ n=1 (x-4)" √√3n

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Q: bernoulli dy dx + X = - 9.5 -xᵒy

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Q: Rewrite the following equation with the variables separated. y' tan(y) = sin(y) (2x+1) Find the…

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Q: 400 - e 1 2x dx= dx, x < In 20 2x 400-e (Type an exact answer.)

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Q: Suppose dP dt and P(1) = 4. Answer the following. 3) Separate the differential equation, then…

A: The objective of the question is evaluate the indefinite integral.

Q: Use both the washer method and the shell method to find the volume of the solid that is generated…

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Q: Evaluate the following integral: [²√²+² (cos(x² + y² S - y²)) dydx

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Q: Consider the following function and point. f(x) = f'(x) = (a) Find the derivative of the function.…

A: We need to fill in the blanks.

Q: Find f'(x) and f'(c). f'(x) f'(c) || 11 Function x²-9 X-9 Value of c c = 1

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Q: Find f'(x) and f'(c). f'(x) f'(c) || = Function f(x) = x cos(x) √3-1 2√3 3-√3 6 or Value of c C =…

A: Given  fx = x cosx  and  c=π3. We have to find f'x and f'c.

Q: 45. Which of the following is the Laplace transform of cos(2t)+2tsin(2t)? a. s^2/(s^2+4)^2 b.…

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Q: Which of the following series should be used to determine the divergence of the series Σ, V5n2+2n+4…

A: Given :- ∑n=1∞5n2+2n+4n

Q: Find the gradient of the function at the given point. In(x²-y)-3, (3,8) X Vz(3, 8) = Z

A: for finding gradient we have to find the derivative with respect to x and y   z  = ln(x2 -y)/x - 3…

Q: Consider the function below. f(x) = √64-x² What is the Domain? What is the Range? Enter your answer…

A: Domain of  64-x2 :We must have 64-x2≥0So,  Solution:  -8≤ x≤ 8  Interval Notation: -8, 8

Q: Situation: An online retail company tracked total number of purchases monthly. In February 2007 they…

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Q: Evaluate the following. [[ f (x, y) ds S f(x, y) = x + y S: r(u, v) = 4 cos(u) i + 4 sin(u) j + v k,…

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Q: Let f(x) Then f'(x) = 3 sin x 6 sin x + 2 cos x m = The equation of the tangent line to y = = f(x)…

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Q: lim X→∞0 lim x118 √11+4x² 2 + 11x √11+ 4x² 2 + 11x = =

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Q: Use the chemical reaction model with a given general solution of y = y = 90 grams when t = 0; y = 12…

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