A person standing close to the edge on top of a 96-foot building throws a ball vertically upward. The quadratic function h = - 16t² + 80t + 96 models the ball's height about the ground, h, in feet, t seconds after it was thrown. a) What is the maximum height of the ball? feet b) How many seconds does it take until the ball hits the ground? seconds

Q: The result of A(B x C)+ A × (B.C) may be: 10 2i+3j O 2i+2j-k

A:

Q: ate the following integral using polar coordinates 17 'yx² (x² + y²j2dxdy

A: Above question is solved.

Q: Find the derivative of the function. 11 y=x¹¹ ex y'=0 V

A:

Q: (x + 2) sin ydx + x cos ydy = 0

A: Solve by variable separable

Q: is: The value of the following limit Lim (cos(x))ou(x)

A: The value of the limit is when x tends to 0 for the function (cos(x))cotx

Q: If f(x) has an inverse function f-¹(z), could either the graph of for the graph of f be symmetric…

A: Given that fx has an inverse function f-1x. We have to check and explain if either the graph of f or…

Q: generated by revolving the given plome area line uning the dirc method. (answers ore in cubic a.)…

A:

Q: Determine the center and radius of a circle given that its equation is x² + 12x + y² - 6y = 4 Use…

A:

Q: Find the derivative of the transcendental function. y = 6e^x/(x^2+5)

A:

Q: - 2x - 4 if x 2 8 7 6 5 4 3 2 1 -8 -7 -6 -5 -4 -3 -2 -1 4 1 2 3 4 5 6 8 -2 -3 -4 -5 -6 -7 -8 Clear…

A:

Q: If y = ecos(x) then y" + sin(x) y' +cos(x)=

A:

Q: g. The line through (0.-7,0) perpendicular to the plane x+2y+2z=13 h. The line through (2,3,0)…

A:

Q: det Evaluate +4 in 3 -α a. 1.107 O a O b O C Od O e b. 1.249 c. 0.491 d. 0.393 e. none of the…

A: To solve the following integral using substitution

Q: . Evaluate cos 3x sin² 3x dx

A:

Q: Circular Ring Method 3. R: y = x, y = 2x axis of revolution: x − axis

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The officers of a high school senior class are planning to rent buses and vans for a class trip.…

A: Solution

Q: 1) In the triangle that determined by the points P.Q and R, find a unite vector perpendicular to…

A:

Q: D Question 16 Which of the following must equal f'(5). f'(x) - f'(5) lim f(x)-f(5) f(x)-f(5) lim 20…

A: Use l' Hospital rule

Q: Use the graph of f to find the largest open interval on which f is increasing, and the largest open…

A: Given,

Q: Find the time it takes for $9,800 to double when invested at an annual interest rate of 18%,…

A:

Q: Find the x-values of all points where the function has any relative extrema. Find the value(s) of…

A:

Q: Population Growth A major corporation is building a 4,325-acre complex of homes, offices, stores,…

A: we will differentiate p(t) with respect to t to find p'(t)

Q: Find the locations and values of all relative extrema for the function with the graph below. Ay 10 Q…

A:

Q: Find the directions of maximum and minimum change of fat the given point, and the values of the…

A:

Q: B5. Find the integrating factor by inspection then solve.  y(2xy + 1)dx - xdy = 0

A: find out the integrating factor by inspection and then solve the differential equation.

Q: 9. g. lim t-∞ t→-8 6t²+t-5 9-2t²

A:

Q: The initial point of a vector v in V₂ is the origin and the terminal point is in quadrant II. If v…

A:

Q: Rewrite the expression without the log of a product, power or root. 108₁ (2¹3√10)-[ log3 =

A:

Q: Reduce the rational expression to lowest terms. 2p² + 12p+16 2 4p²-4p-80 2p² +12p+16 4p²-4p-80

A: I am attaching image so that you understand each and every step.

Q: Suppose 10 workers produce 500 units of commodity X and 20 workers produce 800 units of commodity X,…

A: The formulae of marginal product is        MP=change in firm's use of inputchnage in quantity of…

Q: In the following table the values series y are consecutive terms of a series which the number 31 is…

A: Concept: Newtons forward difference interpolation method: Extrapolation is the process of computing…

Q: x² +5 x<2 Given the function f(x) = { -5x + 1 x ≥ 2 (i) Determine the values of the following: (a)…

A:

Q: You deposit $2000 in an account earning 4% interest compounded quarterly. How much will you have in…

A:

Q: Prove that sech-¹(x) = In(¹+√¹-x²) X

A: Here we have to solve the inverse hyperbolic function.

Q: Write an equation for a function that has a graph with the given characteristics. The shape of y=…

A:

Q: Question 3 State the amplitude, period, phase shift, and vertical shift of f(x). Then describe the…

A:

Q: 7,000e0.1x dx   Find a substitution to rewrite the integrand as 70,000eu du. u=     du =        dx…

A:

Q: dy dx 3y x+1 || (x + 1) 4

A:

Q: Find the directions of maximum and minimum change of fat the given point, and the values of the…

A:

Q: A telephone company determines that the duration t, in minutes, of a phone call is an exponentially…

A:

Q: Evaluate fea cos(2x) dx

A: We have to above integration

Q: 4) Find equations for the planes: b. The plane through (1,-1,3) parallel to the plane 3x+y+z=7 A-3+1

A:

Q: ) Find (dy/dx) for: tan-¹(x² + y) - eln(x³y) =

A:

Q: Sketch by symmetries and translations with find domain and range of the following curve: y = 2 +…

A:

Q: (x-2) dx = y + 2(x - 2)² dx

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: Write a piecewise-defined function to model the monthly cost C(x) (in $) as a function of the number…

A: The Price wise function  is given below.

Q: S 5 sec²(0) tan²(0) 25 - tan²(0) de

A:

Q: Given the function f(x) = 3x - 2, find and simplify the following values: f(a) = f(a+h) = =…

A: Given,  f(x)=3x-2

Q: x TC 021 Find The Area under the curve Y= 4sine between X=and 2 X= 7, by the double integral method.…

A: This question is based on application of integration.

Q: Effect of Luxury Tax on Consumption Government economists of a developing country determined that…

A: