3. (a) Find the Laplace transform of (i) f(t)=17te-2-3 sin(9t) (ii) fo

Q: d²y (2) Check that y = sint satisfies the differential equation dt2

A: We have to solve

Q: 1. Find the five fifth roots of unity in the form a + ib

A:

Q: 2x +3 x:²-9 da

A: To evaluate the given integral.

Q: 1. Evaluate the following expressions. Round your answer to 4 decimal places. a) log, 17

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: - 1 x216

A: To evaluate the following integral.∫x2-1x2-16 dx

Q: 9.) If y=xe, then find d" y dx" 10.) Find h'(x) if h(x) = f(x³).

A:

Q: Find the equation of tangent xªy-xy²= line to 1=-2 at (-1,41)

A: The given equation is; x4y-xy3=-2, (-1,-1).

Q: ● Look over Example 4 carefully. Then find the antiderivative fe* cos xdx. Use the back of the sheet…

A: Please see the below picture for detailed solution.

Q: H. If R(t) = et costi - et sin tj i. Find the velocity and acceleration vectors. ii. Find the speed,…

A:

Q: The following integral is an improper integral. (a) Explain why it is improper, (b) determine…

A: The following integral is an improper integral. (a) Explain why it is improper, (b) determine…

Q: Use the graph to locate the absolute extrema (if they exist) of the function on the 4x² (x − 3)2 on…

A:

Q: What is t' (x) if t(x) = Select the correct answer below: = 80x5 .? ex O t'(x) O t'(x) = 80( -). ○…

A: Given query is to find the derivative of the function.

Q: Find the transform of the given function by use of a table. f(t) = 4 + -4t cos 39 t AF)-¹2-1521)²…

A:

Q: Find the differential dy and evaluate dy for the given values of x and dx. a) y = arccos x, x =…

A:

Q: A set equation is not an identity if there are examples for the variables denoting the sets that…

A:

Q: Question Let h(x) = f(x)g(x). If f(x) = 4x² + 3x + 1 and g(x) = 3x² – 3x – 4, what is h' (−1)? Do…

A:

Q: integrating

A:

Q: Assume that I and M are real numbers such that lim_f(x) = L and lim_g(x) = M. Let c be x→a x→a a…

A:

Q: Consider the function f(x) function on this interval. = The smaller one is and the larger one is…

A: Given function:- fx=2x3-5x

Q: At what values of x does the graph of y = e + 2xe-" + x²e have a point of inflection B C x = -1 only…

A: Given Equation:- y=e-x+2xe-x+x2e-x

Q: Which of the following is true regarding (2b) given the piecewise function f(x)= Of(2b)=-g(2b)…

A: Please see the below picture for solution.

Q: Determined and of y = (5x²-3) (cos x + lnx).

A:

Q: Please snow your answer to at least 4 decimal places. 4x Determine the gradient of f(x, y) = eª*…

A: Given, f(x,y) =e4xsin(4y)    Find gradient at (x,y)=(1,2)

Q: 113 It is known that function f is an increasing function that satisfies f(1) = -3 and f'(1) = 3.…

A:

Q: Suppose the fridge daily cost function produced at Friga's Frigid Fridges is represented by the…

A: GIven Cost function:- Cx=x32000-x250+50x+20,000

Q: Consider the function f(x): this interval. = on the interval [3, 10]. Find the average or mean slope…

A:

Q: Assume a population of fish exponentially. A Pond initially with 500 fish. After 6 months there are…

A: Given the initial number of fish is 500. After 6 months, it will be 1000.

Q: Question 1 Find the transform of the given function by use of a table. f(t) = cos -4t-sin-4t (A)…

A:

Q: Let z(x, y) = x³y where x = Calculate da dt = t³ & y = 1⁹. = dz dx dy by first finding & and using…

A:

Q: Question Let h(x) = f(x) g(x)' g(x) = 4x − 3. What is h'(x)? = Select the correct answer below:…

A:

Q: Test each of the following equations for exactness and solve the equation. The equations that are…

A:

Q: Rewrite the quadratic function f(x) = x² + 4x − 8 in standard form, f(x) = a(x − h)² + k, and give…

A:

Q: Find the equation of the line tangent to the curve 8x4 + 8y² = 16 at the point (1, 1).

A: To find the equation of the line tangent to the curve 8x4+8y2=16 at the point 1, 1.

Q: 5. Dairy King has a "Super cone" that has height of 12 inches and radius of 1 inch on the bottom and…

A:

Q: дz (b) Without using implicit differentiation, find where xyz + x-y-z = 1. dx 2

A:

Q: To which of the following will lim O lim(1+cosx) x-0 O lim (2cosx) x-0 2lim (cosx + cos²x) x-0 O…

A:

Q: The graph of a quadratic function with vertex (0, 1) is shown in the figure below. Find the range…

A: We need to find out the domain and range of the given quadratic function whose graph is given.

Q: Find the Wronskian of the given pair: e4t, e-3t/2 O (11/2)^(5/2) O -(11/2)^(5/2) O -(5/2)^(5/2) O…

A: e4t, e-3t/2

Q: Determine the domain and range of f(x) = 4(x − 3)² + 4. Enter the solution in interval notation.…

A:

Q: Basis: Find a basis of the subspace of R³ defined by the equation - 8x₁ +9x₂ - 8x3 = 0.

A: NOTE: Refresh your page if you can't see any equations. . now we need to solve this equation for x1…

Q: Determine the least possible degree of the polynomial function shown. The least possible degree…

A: We know that polynomial has degree n if it has n x intercept and polynomial has degree n if it has…

Q: Consider the function f(x) = 3x² - 2x +9, 0≤ x ≤ 10.

A:

Q: 1 2²-1 x²16 da

A:

Q: Let y be defined implicitly by the equation dy Use implicit differentiation to evaluate at the point…

A:

Q: If y satisfies dy dx 2xex², = then (a) y(In e) = (b) y(In e²) = y (0) = 1,

A:

Q: Y = -3° +10 the graph can be obtained from =3x,

A:

Q: Find the equation of the line tangent to the curve -8x4 + y5 + 7x + 6y = 0 at the point (0, 0).…

A:

Q: 2.) What is when y= cos(2x³) d²y dx²

A:

Q: Find the Linearization L(x) of the function at a. b) f(x)=e^x+1 , a=0.

A: To find the Linearization Lx of the following function at 'a'.fx=ex+1, a=0

Q: Suppose a product's revenue function is given by R(q) - 4q² + 500g, where R(q) is in dollars and q…

A: