A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is given by the function f(t)= - 16t2+361t+8. Find its average velocity from 5.3 seconds to 8.5 seconds. Its average velocity is feet per second. If necessary, round to two decimal places. Do not include units. CIS

Q: 3 3. If cos(y) = and y is in the first quadrant, find cot²2/1

A:

Q: Let A(z) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

A:

Q: Given the graph of the function f(x) below, use a left Riemann sum with 4 rectangles to approximate…

A:

Q: (a) Sketch the curve by using the parametric equations to plot the points. Indicate with an arrow…

A: Given Equations:- x=t-2y=3t+1

Q: = 2+ sint, y = 1+3 cost. For what values of

A:

Q: Evaluate the definite integral D = D = [²1+1/2u² = 2/5u³ du NOTE: Use exact values only. Do not…

A:

Q: What interest is accumulated on an investment of $10,000 left in a bank for  5 years with an…

A: use the simple interest formula for calculating the interest.

Q: Description of image (in case it has trouble loading): A right triangle has acute angles a and B.…

A: As we know that tanα = perpendicular base

Q: tan¹y-sin y y' cos y lim-

A:

Q: d/dx(ln|x|)

A:

Q: Suppose that f' (3) = 0 and f" (3) < 0. Which of the following must occur at x = 3? (a) an…

A: we need to find out the correct option.

Q: Let f′(x)=√x−2 and suppose that f(9)=4. What is the value of the constant term in f(x)

A:

Q: The acceleration of an object (in m/s²) is given by the function a(t) = 7 sin(t). The initial…

A:

Q: Problem: The population of City A is 10,000 and it grows 3 times each year. The population of City B…

A: For A should catches B both should be equal A(t) = B(t)

Q: Use linear approximation to approximate 1.1 to 6 decimal places

A: GIVEN :1.13

Q: 5. (-x -2<x<0 0<x<2 For the function, f(x) = {* a. Graph f(x) for x from (-2,2) b. Graph the…

A: Please see the below picture for detailed solution.

Q: Find the equation of the ellipse with foci at (0, ±10) and vertices (± 8, 0)?

A:

Q: Find the equation of the ellipse with foci at (0, ±10) and vertices (0,± 8)?

A:

Q: Find the double integral by changing to polar coordinates. (Express numbers in exact form. Use…

A:

Q: Solve the following differential equation by separating variables and solving for the EXPLICIT…

A: Given query is to find the solution of the differential equation.

Q: Consider the function Compute f"(x). X = 66²⁰ - f(x) = -3t²- f"(x) = -4t+ 3 dt.

A:

Q: Given y=root x. Find dx/dt when y=3 and dy/dt ​= 1.75. dx/dt=

A: Given y = x dydt= 1.75 dxdt = ? when y = 3 then x = 9

Q: Find the first four nonzero terms in the Maclaurin series for cos²x-sinx. (Do not derive the series!…

A:

Q: A 114 ft tower is located on the side of a mountain that is inclined 43 degrees to the horizontal.…

A: Givenheight of the tower ( H ) = 114 ft let a = horizontal distance between point and base of the…

Q: | 1 3 2 1 1 To find the blue shaded area above, we would calculate b få f(x) dx Where: a = f(x) = 2…

A:

Q: Use trigonometric identities and algebraic methods, as necessary, to solve the following…

A:

Q: Definite Integrals Course Packet on the average value of a function Compute the average value of…

A:

Q: (m) y = f (n) y = f x +3 V1-x² dx x² + 10x + 30 2 -dx.

A: Solve the following

Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 5 Σ n=1…

A:

Q: nd the points where. x = t³ − 3t, y = t³ – 3t² has vertical tangent lines and horizontal tangent…

A: Please see the below picture for detailed solution.

Q: Let f(x) = Compute ƒ(1) ƒ'(1) ƒ"(1) || f" (1) _f(iv) (1) = ƒ(¹) (1) = 4+6x x

A: Since you have asked multiple part  question, we will solve the first 3 part of the question for you…

Q: Plot the complex number 3-6i

A:

Q: 10 Consider the function f(x) 8x¹0 + 10x52x¹ – 9. Enter the antiderivative of f(x) + C

A: Solution: f(x)= 8x10+10x5-2x4-9 Antiderivative of f(x) is

Q: Use Maclaurin se In(1+x²) + x sinx lim-

A: we have to evaluate the limit using maclaurin series  limx→0ln(1+x3)x.sin x2   since we know that…

Q: Given the graph of f(x) and the labeled areas, 10 find f(x)dx 10 [ 0 f(x) dx = A=12 B=5 10 C-6 15

A: Value of integration gives the area of the curve bounded in the given limit. Above x-axis, its value…

Q: For the demand function given, find the elasticity at the given price and state whether the demand…

A: q=800-5x Put x=83 q=800-5*83 q=800-415 q=385 dq/dx=d(800-5x)/dx  dq/dx=-5

Q: Does there exist a function f such that f(0) = -1, f(2)= 4, and f'(x) ≤ 2 for all x?

A: The given question can be solved using the concept of mean value theorem.

Q: -2t Consider the following function: f (t) = 4e - 5sinh (t) + 1³

A:

Q: Integrate the following derived functions:

A: This question can be solved using the concept of integration by substitution.

Q: The area bounded by x = y² -2 and x = e between y = -1 and y = 1 is revolved about the line y = 1.…

A:

Q: dw in terms of w = x² + y².x = at Exercise: Find cos t. y sint =

A: dtndt=ntn-1dsintdt=costdcostdt=-sint∂w∂t=∂w∂x×dxdt+∂w∂y×dydt

Q: 1. Find the formula for the inverse function of f(x): f^(-1)(x) Express as f^(-1)(x)= ƒ(x) = √−2x −…

A:

Q: Convert the Cartesian equation (x-3)²+(y+1)² = 4 to polar form.

A: Given equation:- x-32+y+12=4

Q: new factory in a small town has an annual payroll of $8 million. It is expected that 75% of this…

A:

Q: Find the area of the surface generated by revolving the curve about each given axis. x = 2t, y = 4t,…

A:

Q: 2- Calculate M6 for f(x) = √10x on interval [0, 2].

A: Given:     fx=10x on interval 0,2 The M6 (also known as the midpoint approximation) uses the…

Q: Evaluate the integral by making the appropriate substitution: u = k dx (4x + 1)² = dx ' (4x + 1)² ²

A:

Q: Select all that apply about an integral. Represents the area between the function, the x-axis, x=a…

A: Option first and second are correct about integral ... Option 3rd and 4th are not correct about…

Q: Find the Taylor series generated by fat x = a. f(x) = 4x² + x² +4₁ a = -3 The Taylor series…

A:

Q: Suppose the radius of a bicycle wheel is 13 in. (measured to the outside of the tire). Find the…

A: Given query is to find the radian turned