Find the laplace transform of ƒ (t) = 6t³ + 4t² – 3 OF (s) -3s³ +8s+36 84 OF (s) 36s³ +88-3 84 OF (s) -8s³+3s-36 84 OF (s) -6s³ +8s+36 OF (s) -3s³ +36s+8 84 OF (s) -3s³-8s+36 84 = = = = = =

Q: The f2e4t sec2e4t dt is {A} = = tan e 4t + C {B} = sec³e4t + C 16 {C} /e4t tan e4t + C {D} et…

A:

Q: Let F(x) = f(g(x)), g(2) = -2, g'(2) = 4, f'(2) = 5, and f'(-2) = 7. Find the value of F'(2). Let…

A: 1st we have to differentiate the given function and  then put the given value.

Q: 4. Use cylindrical coordinates to evaluate [!] √²³² + y²dv₁ D where D is the region that lies inside…

A:

Q: 25-28 Use Theorem 5.5.4 and appropriate formulas from geometry to evaluate the integrals. 25. L²₁ (4…

A:

Q: Plot each of the given complex numbers in an Argand diagram and label all the necessary parts. Also,…

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: x sin x dx g. S. Så sin x cos³x dx h. f(x + 1)√2 - xdx

A:

Q: Sketch the region R and evaluate the iterated integral x, y) da. [²³²(¹-2x - 2x + 8y) dy dx

A:

Q: 4. r(x) = 3x) (1 - x)(-/-)

A:

Q: 12. y = −3 cos (0 + 1) − 2 Amplitude: Period: Phase Shift: Midline:

A:

Q: 21. Find 1² [f(x) + 28(x)] dx if [²₁ f(x) dx = 5_ and ₁8(1) g(x) dx = -3

A:

Q: The f e²x +e-2x e2x-e-2x dx is -2x1 {A}={In 2x te e e2x-e-2x + C 2x {B} In|e²x −e-²x | + C {C} -2…

A: To solve the given integral using substitution.

Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

A:

Q: 2. Boyle's law for the expansion of gas is PV = C, where P is the pounds per square inch of…

A: P V =Cdifferentiating w.r.t. time t;P dVdt+VdPdt=0P=5000 pounds per square foot.V=8 ft3dVdt=4…

Q: Grace invested $5,200 in an account paying an interest rate of 4.6% compounded daily. Assuming no…

A:

Q: A. Using chain rule find the derivative of the following functions. 1) f(x) = (x³ + 3x²) 200 2) f(x)…

A:

Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

A:

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

A:

Q: 6. [ID # ending in 9] J3 w Find дх ду дz if w — exyz = 0.

A:

Q: Seatwork: Obtain the general solution of the following differential equations 1. (xy² + x) dx + (x²y…

A:

Q: Evaluate the following 2- S ( 37/3 + 5x² + 3) dx

A:

Q: Answer B True False The derivative of the function y=x²log (1-x²) is x² y=2xlog (1 - xảy - 2 1-x

A:

Q: Question You work at a farm that wants to build three identical rectangular corrals in a row against…

A:

Q: Sketch the region R and evaluate the iterated integral ff- (1-4x+6y) dy dx y -1.0 O -0.5 3 -1 xn-[…

A: The given integral is  ∫01∫02(1-4x+6y) dy dx re write the integral: ∫01∫02(1-4x+6y) dy dx =∫01…

Q: Evaluate the iterated integral. [[ (x + y) dx dy

A:

Q: 4 1. y = cost-sin ¹ t 2. y = (2 tan² 20-1)/²

A: Given : 1) y= cos4t-sin4t2) y=2tan22θ-112   To Find : Derivative of the given functions.

Q: 9. (y³+4)√1- cos² (y4 + 16y) ». f (y ³. cos(y¹+ 16y) () 2. dy

A: Answer of the above integration is

Q: Evaluate the iterated integral. [²1²₂(x² - y²) dy d dx

A:

Q: Use a triple integral to find the volume of the given solid. The solid enclosed by the cylinder y =…

A:

Q: . Given the fx²dx, which of the following is the integrand? C. x² A. 0 B. 2 D. dx

A: To determine what is integrand.

Q: Given the vectors à, b and è in 3dD. Identify which of the following operation is possible or not…

A:

Q: f cos(mx) cos(nx) dx is equal to {A} [sin(m + n) + sin(m − n)] dx {B} [sin(m + n) - sin(m - n)] dx A…

A:

Q: - у = 3x-2 4x-5

A:

Q: Evaluate the iterated integral. 16-y² ST Jo (x + y) dx dy

A:

Q: 0 3. Evaluate the definite integrals: (a) CS Scanned with CamScanner² (x² – 3x) dx (b) 5 1 √I -d.x

A:

Q: 8. For the enclosed regions bounded by y = x² - 6x and y = -2x in the graph, what is the integral…

A: Given   From the graph intersection point

Q: Sketch a function that is continuous on (-∞0,00) and has the following properties. Use a number line…

A: We need to choose correct options for graph of f'(x).

Q: Question 8 Find the derivative -[f (x)] dx Anmospace support = 3 In (In (x²-3x + 5)²) 3(2x - 3)…

A:

Q: For items 1-5 A 10-ft ladder is leaning against a house on flat ground. The house is to the left of…

A:

Q: (1 + x) – Σ - (n).", -Σ n=0

A:

Q: Find the volume of the solid that results when the region bounded by y = x and y = x², from x = 0 to…

A:

Q: How to determine whether the function is continuous or not at a given point x = a ? x ≤ 1 (3x5 - 1…

A:

Q: Find the differential dy of the function y = Provide your answer below: dy = dx 5x4 + 4 4x + 3

A:

Q: Activity 2: Solve each function below the letters and decode the unknown word in each number. Once…

A:

Q: Find the surface area generated by revolving one arc (first quadrant) of y = cos x about the x-axis.…

A:

Q: Find the curvature of the curve defined by F(t) = (6 cos(t), 8 sin(t)) at t = T.

A:

Q: Use the formula k(t) = = k(t) = ||r' (t) x r"(t)|| (t)||³ ||r' r(t) = t²i+t⁹j = to find k(t).

A:

Q: 6. Evaluate any 5 of the following 6 integrals. (a) 12 dx 1 (b) (c) cos(50) de (e) [x²e² dr (d) (f)…

A: To evaluate the following integrals.d ∫xx+1 dxe ∫x2ex dxf ∫arcsin x dx

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) = 6x + 17 between x =…

A:

Q: y = 1- cos 0 1+ cos 0 3

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

Q: ANSWER

A: