5) A) 4./00 45'00 5'00 B) D) 458 4500

Q: Find the points on the cone z² = x² + y² that are closest to the point (1, 5, 0). Please show your…

A: Consider A(x,y,z) to represent the point on cone z2=x2+y2---(1)The distance between (1,5,0) and…

Q: For the given cost function C'(x) = 44100 + 800x + x², First, find the average cost function. Use it…

A: Given query is to find average cost function and minimize it.

Q: For the function f(x, y) = - 4x² + xy - 2y² - x + 2y 1, find a unit tangent vector to the level…

A:

Q: Find the Jacobian J of the transformation T(u, v, w) = (-3u +5v-3w, 2u+4v+3w, 4u+v=4w) = (x, y, z).…

A: Given:- Tu,v,w=-3u+5v-3w,2u+4v+3w,4u+v-4w=x,y,z

Q: 9) Use the Intermediate Value Theorem to prove that there is a number c, such that, Ac)=-1 for the…

A: Given function:- fx=x5-2x3+x2+2

Q: dx (6-x²)² 3

A:

Q: Find the limit. 8 lim (x³ + x³) x →-00 (48 X

A:

Q: Find the arc length of the curve y = (e" + e¯") from x = 0 to x = 2. 2 Length: ►

A:

Q: 9. An antiderivative of a function f(x) is a function F(x) such that F'(x) = f(x). Find any…

A: Note: sorry for the inconvenient  as per our guidelines  we should solve only 1 question. So please…

Q: Question1: a) Find a power series representation of 1/(3-2x). b) Find a power series…

A: (a) Given that , fx=13-2x Find a power series representation of fx.

Q: Solve the equation (1-5x)e¹-5 =0 for x. Give your answer as an integer or a fraction.

A: lne=1lnxn=nlnx

Q: The graph shows the cubic function f (x) and the polynomial g(x). -10-9-8-7-6-5-4 3-2 f(x) 10 9 87 6…

A:

Q: xx): 1 + x² For what value of c is f a probability density function? C = For that value of c, find…

A: solution is given below.

Q: Find the two values of k for which y(x) = ekx is a solution of the differential equation y'' - 8y' +…

A: d dx(ex)=exy(x)=ekx

Q: terminal point of 6pi x.y coords please

A:

Q: Find, correct to three decimal places, the point on the curve y = 4 ln x + ex at which the tangent…

A: For a curve f(x), f'(x) at any point represents the slope of the tangent to the curve at the given…

Q: Where is the focus of the curve: x^2=-12y

A: Focus of a curve  y=a(x-h)2+k is given by  (h,k+p)where p=14a

Q: 1. 3 (6-x²)²

A:

Q: Find  dy dx and  d2y dx2. x = et,    y = te−t

A:

Q: Use the Definition to find an expression for the area under the graph of f as a limit. Do not…

A:

Q: If f(x) = 4sin ¹(x²), find f'(x). Find f'(0.7). Round to 3 decimal places.

A:

Q: Find a value of the constant k, if possible, at which is continuous everywhere. k= (enter "none" if…

A: Find the value of k, if possible, at which  f(x)= 16-x2, x≤-4 kx2 , x>-4  is continuous…

Q: Check Your Understanding 4.3 1. Differentiate te EXERCISES 4.3 Differentiate the following…

A:

Q: Divide the polynomial using long division (²-4)= (x + 4). √2+ ✓ + √√(2 √(x + 4)

A:

Q: Write a polynomial function f (x) in expanded form where the only zer

A: The expanded form of a polynomial function is  f(x)=A(x-a)(x-b)(x-c)Where A is constant and a,b,c…

Q: Find the derivative of the function y = y' = || 9x² - 8 x² - 7

A:

Q: Find the rectangular coordinates of the points that the polar coordinates are given (-6, -5π/6)

A:

Q: (a) Find the velocity function of the particle at any time t > 0. v(t) = (b) Identify the time…

A:

Q: Evaluate the integral by converting to polar coordinates. 3 6² 6² cos(x² + y²) dy dx = 0

A:

Q: F(x) = F'(x)= = 2x 1,²² t² t² + 1 dt

A: Given query is to find the derivative.

Q: Set up a triple integral in cylindrical coordinates for the volume of the solid region E, where E is…

A:

Q: csc² x csc²x csc x cot x sin² x 1 + cos x 56. sec²x + tan²x = 1 + 2 tan² x 54.

A:

Q: A 4-foot child is walking away from a streetlight 16 feet high at a rate of 2 feet per second. At…

A:

Q: A ball is thrown into the air and its position is given by h(t) 7t² +65t+19 where h is the height of…

A:

Q: Use the table below to find X f'(x) g'(x) 1 2 1 [1.3f(x)] |x = 5 = 253 1 [1.3f(x)] dx 3 4 1 2 لی اند…

A:

Q: how do you shade 1/5 of a grid

A: The given data is: How do you shade 15 of a grid?

Q: A weather balloon is rising vertically at a rate of 15 feet per second. An observer is standing on…

A: Given  A weather balloon is rising vertically at a rate of 15 feet per second. An observer is…

Q: Concept check: Evaluate the following integrals: ¹.ſ- dx (6-x²)z NIVE

A:

Q: Let z(x, y) Calculate дz მs дz - = = дz მ - 7x² - 9y2 where x - & дz St by first finding 8s + 5t & y…

A: To solve the following problem by finding the partial derivatives

Q: K Consider the function f(x) = - (a) lim f(x) = X→∞0 3 4x³ + 18x² + 18x lim f(x) = (a) Evaluate lim…

A:

Q: Perform scaling on a triangle (1, 1), (8, 1) and (1, 9) with a scaling factor of 2 in both x and…

A:

Q: Find the general solution to the homogeneous differential equation d² y dy dt² dt The solution can…

A:

Q: A box with an open top has vertical sides, a square bottom, and a volume of 4 cubic meters. If the…

A: A box with an open top has vertical sides, a square bottom, and a volume of 4 cubic meters. To be…

Q: A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost…

A: We need to find out the value of x and y that will minimize the cost.

Q: At the beginning of the day, Cher had 124 mules in her store. She sold 112 mules during the day.…

A:

Q: Let z(x, y) = xe² where x = dx dy dz dt by first finding & and using the chain rule. dt dt Calculate…

A: Given query is to find indicated derivative.

Q: 1. f'(x) and ƒ' (7). Show all work, no decimals allowed in your final answer y -Cos (x) Tan(x)…

A: Given query is to find indicated derivative.

Q: The function f(x) = 2x³36x² + 120x + 7 has one local minimum and one local maximum. Use a graph = -…

A: Topic - Application of derivatives We are givenf(x)=2x3-36x2+120x+7The local minimum is a point on…

Q: The temperature T = T(x,y) in °C at point (x,y) satisfies Tx(1,7) = 4 and Ty(1,7) = − 5. If x = ³t −…

A: Given: Tx1,7=4 and Ty1,7=-5.Also, x=e3t-3 and y=7+ln t.We need to find dTdt when t=1 sec.

Q: Assuming - 8x³ - 2y² - 10xy = 0 defines y as a differentiable function of x, dy Fx dx F. use the…

A: Please see the below picture for detailed solution.