Evaluate the integral of x cos 2x dx with limits form 0 to pi/2. (A) -3/4 B 0.75 C -0.5 D 1/2

Q: Evaluate the limit lim_ (8x² + 4) (6x + 8 →7

A:

Q: 1. (Use a calculator) Write down the equation used to evaluate the following expressions, and then…

A:

Q: 1. Set up the formulation to find the surface generated when the curve y = x² is revolved about the…

A:

Q: 2 Determine the length of the curve = = t³, y: 31² 2,0 ≤t≤ √3.

A:

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A:

Q: The figure shows the temperature values (in °F) on a typical May day in a certain Midwestern city. t…

A:

Q: Suppose that $600 are deposited at the beginning of each quarter for 10 years into an account that…

A:

Q: A swimming pool whose volume is 10,000 gal contains water that is 0.03% chlorine. Starting at t=0,…

A: Given: the volume of swimming pool = 10000 gal that contains 0.03% chlorine. at t=0  ,0.002%…

Q: (a) Find an equation of the tangent plane to the surface at the given point. x+y+z= 12, (4, 3, 5)…

A: Our Aim is to find :-(a) An equation of the tangent plane to the surface at the given point.Here…

Q: It is estimated that between the hours of noon and 7:00 PM, the speed of a highway traffic flowing…

A:

Q: For Luce landscaping, the total revenue and the total cost of yard maintenance of x homes are given…

A:

Q: 1. A curve in the plane is defined parametrically by: x(t) = t +1 and y(t) = t2-5t +2. a)Convert the…

A:

Q: 3 Find the Cartesian coordinates of the following points (given in polar coordinates): 3.a (√2, π/4)…

A:

Q: Estimate the minimum number of subintervals needed to approximate the following integral an error…

A: The solution is given below

Q: A box without a lid is required to have volume, V = 32000 cm^3. Minimize the amount of cardboard…

A:

Q: Find a function of the form y = C + A sin(kx) or y = C + Acos(kx) whose graph matches the function…

A: Solution :find a function of a formy=C+Asinkx…

Q: 5. It was noon on a cold December day in Tampa: 16°C. Detective Taylor arrived at the crime scene to…

A:

Q: Find the radius of convergence and interval of convergence of the series n=1 (x - 5)n n5n

A:

Q: Find aw/as and aw/at using the appropriate Chain Rule. Function Values w = sin(2x + 3y) x = s+t,…

A: We can answer both the answer as below.

Q: 16. x²y" (x) + 5xy' (x) + 4y(x) = 0 ; y (1) = 3, y' (1) = 7 17. x³y"(x) + 6x²y"(x) +29xy' (x) -…

A: The given differential equation is;  x2y''(x) +5xy'(x) +4y(x)=0, y(1)=3, y'(1)=7.

Q: For what value of the constant c is the function ƒ continuous on (-∞, ∞)? cx² + 2x if x 2.

A: We know :- Limit definition at x=a  ⇒limx→a-f(x) =limx→a+f(x)  if function continous at x=a then…

Q: f(x)= x/pi + pi/2+ pi/x + 2/pi Find the derivative

A: Let f(x)= x+a, a is a constant So, f'(x)=1

Q: Evaluate the limits. If a limit does not exist, enter "DNE". You may use a GRAPH on Desmos or plot…

A: Here we have to use the concept of limit

Q: For k(x) = (x + 1)(2x)(-3x²+2x+3), find the derivative of k(x) at the point x = 0 using the product…

A:

Q: Find a possible formula for the trigonometric function whose values are in the following table. y =…

A: topic- trigonometric function

Q: Write an equation for the function graphed below 5+ 4 3 2 1 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 y = -5+ 1…

A: topic- graph of a function

Q: down oes... not a precise m However, with ann an algebra c concave do rate of chang creasing y…

A:

Q: It was noon on a cold December day in Tampa: 16°C. Detective Taylor arrived at the crime scene to…

A: The solution is given below

Q: Find the equation of the tangent line to the graph of the function f(x)= 2+5 z-8 at the point

A:

Q: The volume of the paraboloid resulting from the rotation of a cylindrical vessel is: Select the…

A:

Q: Find the surface area of the solid generated by revolving the region bounded by the graphs of y =…

A:

Q: Solve the differential equation by variation of parameters. 1 8 + ex y" + 3y' + 2y = Step 1 We are…

A:

Q: QUESTION 1 P 0 0 9 0 00r Show that 0 Hence, determine the inverse of the following matrices: 100 i.…

A:

Q: (e) Find the linear approximation of the function f(x, y, z) = x³ √√y² + z² at the point (2, 3, 4)…

A:

Q: Solve the given differential equation by undetermined coefficients. y" - 8y' + 16y = 12x + 6 y(x) =

A: The given differential equation is;  y''-8y'+16y=12x+6.

Q: Plot the pair of points and find the slope of the line passing through them. (0, 0), (-9, 13) Step 1…

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

A: here is the solution:

Q: 1. S sina de cos²x

A:

Q: 10. 2ste tds +(s²e-t - t)dt = 0

A:

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

A:

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 2y² + 4, (1, 2) Vf(1, 2) =

A:

Q: 1. Use the data given to solve the following problems. Savings needed for Health-Care Expenses…

A:

Q: Find the absolute maximum and minimum values of the following function on the given region R.…

A: To find the absolute maximum and minimum.

Q: 3. A science project studying catapults sent a projectile into the air with an initial velocity of…

A:

Q: Given f(x) = x² + 7x + 6, find the following. (a) f(0) (b) f(1) (c) f(-1) (d) f(-3) (e) f(a) (f) f(x…

A:

Q: Vf(1, 3) =

A:

Q: You go to the doctor and he gives you 16 milligrams of radioactive dye. After 20 minutes, 7.5…

A: We will solve this problem.

Q: sina+sinatan² dx a sinx 2. ·S

A:

Q: he base of a solid in the xy-plane is the first-quadrant region bounded y = x and y = x². Cross…

A: To find the volume.

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

A: