Find the absolute extrema of the function on the closed interval. f(x) = x³ - x?, [-3, 2] minimum (x, y) = | maximum (x, y) =

Q: Let y tan(5x + 8). Find the differential dy when I = 5 and dr 0.1 Find the differential dy when I 5…

A: y=tan(5x+8)Differentiate on both sidesdy=sec2(5x+8)×5×dxSubstitute x=5  , dx=0.1…

Q: Use the Ratio Test to determine the radius of convergence of x" Σ Vn - 9" n=1 Then determine whether…

A:

Q: Find the vector v with the given magnitude and the same direction as u Magnitude Direction ||v || =…

A: u=0,5,5u=5j+5kFirst convert vector u into unit vector.uu=5j+5k52+52uu=5j+k252uu=5j+k52uu=j+k2

Q: Directions: Determine whether the given functions is continuous, differentiable, neither, or both at…

A: g.The function is not diffranciable at sharp point.the given graph of g at x=2 sharp point…

Q: Obtain the der a) cos(xy)=2y, find y'

A:

Q: Determine whether u and v are orthogonal, parallel, or neither. u = -7i + 48j – k v = 7i + j – k O…

A:

Q: The integral expression J xcos-(2x)dx can be evaluated using integration by parts of the form…

A:

Q: a). Determine whether the Mean Value Theorem applie b). If so, find the point(s) that are guaranteed…

A:

Q: Use scratch paper to complete the table below, and estimate the value of the lim,0* f(x) where f(x)…

A:

Q: Evaluate: Jx?cos(2x)dx (A None of the above 2x sin(2x) – 2xcos(2x) + sin(2x) (B +C 4 2x?sin(2x) +…

A:

Q: The position function of an alien spaceship in a cartoon video game is represented by s(t) = t – 12t…

A: Given

Q: xsin-1(x) If x =0.23 and y = 0.81, then value of C in the antiderivative of F(x) = is V1- x2 Add…

A:

Q: Determine whether u and v are orthogonal, parallel, or neither. u = -7i + 48j – k %3D v = 7i +j- k O…

A: Given u = -7i + 48j - k v = 7i + j - k

Q: You are designing a dome house in the shape of a hemisphere with a 60.0 ft outside diameter. (Round…

A: Note: According to policy of our company we will solve the first 3 sun questions. If you need the…

Q: The integral expression J xcos (2x)dx can be evaluated using integration by parts of the form…

A: This is a problem of integration. Based on the uv formula we will solve the question.

Q: Use the first principles definition to determine the derivative of the following quadratic function:…

A:

Q: A cylindrical can is to be made to hold 1 L of oil. Find the dimensions (in cms) that will minimize…

A:

Q: Determine the value of the arbitrary constant of the antriderivative of F(X) = x-In(x) given the…

A:

Q: Consider the function below. Use it to evaluate each of the following expressions. (If an expression…

A: Given function f(x)=x    if  x<18    if  x=12-x2  if  1<x≤2x-1   if   x>2

Q: Find the area enclosed between the curve y = 9 - x squared and line y = x + 7

A: This question is based on application of integration.

Q: Application 3-Given that a=log, 3 and b=log ,6, find log, 24 in terms of a and b ommus icotion

A:

Q: Find the points on the the polar curve r = 4 cos 0 where the tangent line is horizontal.

A:

Q: Find the area bounded by the curve 2x2 + 4x + y – 0 and the line y + x = 0

A: To find the area of region bounded by the given curves.

Q: Find the derivative of the function. g(x) = 4(5 - 9x)5 g'(x)=|

A:

Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos³(x) for x = 0.406 and y =…

A:

Q: (Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist. Use the o…

A:

Q: For the length of the polar curve: r = 2cos(theta) ; 0 < theta < (3pi/2)

A:

Q: 20. What is the equation of the tangent line of f(x) = Vx = 4? A. x - 4y + 4 = 0 B. x + 4y -4 = 0…

A:

Q: Find a set of parametric equations for the line passing through the point (8, 0, 9) that is parallel…

A:

Q: 9. Determine the value(s) of k so that the function f (x) = 5x“ + 8x - k has : a) 1 zero b) 2 zeros…

A: We have to use properties of discriminant to solve the question

Q: Evaluate the integral over the rectangle R: (a) |/ ev dA, 0 < ¤ < In 2, 0 < y < In 2 R (b) dA, 0 < x…

A: As we know that; The Power rule; ∫xndx=xn+1n+1+C ; n≠-1 And ∫eax+bdx=1aeax+b+C   (a). Given:…

Q: Evaluate: /sin(/x)dx A 2/x sin(x)-2cos(/x)+C B2/xsin(/x)+2cos(/x)+C 2sin(/x)+2/xcos(/x)+ C D…

A:

Q: Find the derivative of the function. y'(x) =

A: To find the derivative

Q: 1 dx 2 Jo (x-1)²

A:

Q: a) E}Ej³ b) Σ59/2 250 c) E}soj 100

A:

Q: Find the vector v with the given magnitude and the same d Magnitude Direction ||v|| = 31 u = (0, 5,…

A:

Q: At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 15 knots and ship…

A:

Q: 4x-6z+5 2+3cosz sin z 9. Find dz.

A: Here we have to integrate the given Integral.

Q: 5х lim V3x+9–3 x→0

A:

Q: Match the integral expression on the left to an equal expression on the right. Prompts Submitted…

A:

Q: For numbers 13-14. Consider the graph of the function. 13. Which of the ff. points does the function…

A:

Q: A bacteria grows using the given model: dB/dt = 0.2B(1 - (B/100)) ; B(0) = 5 Find B(t). Find the…

A:

Q: Determine the one-sided limit of the function f in the figure at the given point. 15 10- 5. (Use…

A: Given query is to find the Indicated limit.

Q: Solve the differential equation with the given initial value condition: dy/dx = xy + 2x ; y(0) =

A:

Q: If x =0.51 and y = 0.1, then value of C in the antiderivative of F(x) = xsin-(x) is V1- x2 Add your…

A:

Q: Find the area enclosed by one loop of the curve: r = 3sin(4theta)

A:

Q: 2. Verify that the given function u=e* sin y is harmonic and then find a harmonic conjugate of u.…

A: For function to be harmonic, del^2(U) = 0.

Q: Differentiate the function. y = In(|5 + t - t31) y' = ||

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

Q: (2x-3 ifx22 6. f(x)= -2x+2 if x< 2 if x2-2 x+2 7. f(x)=-x-1 ifx<-2

A:

Q: n3 - 2 Lt 2n' + 3n – 4 Find n+00

A: Given query is to find indicated limits.