(2.) A right cylinder has height 5.0 cm total surface area 62.0 cm². radius. 2πr² + 2πrh and Find the ✓ A =

Q: k3 k=1 2k* -1 (2) Σ

A: The series is given by:

Q: For the curve given by r(t) = (9 sin(t), -2t, -9 cos(t)), Find the unit tangent T(t) = (000) Find…

A: For the curve given by , to find the unit tangent vector, unit normal vector, and the curvature.

Q: A company makes portable heaters for outdoor dining. The company has total cost function C(x) =…

A: A company makes heaters for outdoor dining. The company has total cost function  and the total…

Q: [x³v 3 Evaluate the integral: 16x²dx

A:

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A:

Q: 3 The Taylor series for f(x) = x³ at 4 is cn(x-4)”. Find the first few coefficients. CO C1 = C2 ||…

A:

Q: f(x) = 3x² + 39x + 120 2 2x - 35 x² 2

A: f(x)=3x2+39x+120x2−2x−35

Q: 7. Find the absolute maximum and absolute minimum of the function on the interval. (Do not use your…

A:

Q: Find the first derivative of -sin² x

A:

Q: The cost function for q units is C(q)=98q+97 The revenue function for the same item is…

A: The objective of this question is to find the profit from selling one more unit when 8 units are…

Q: Evaluate SA=_dx where A = x ² + 8x-3 and B=x²+3x²

A: To evaluate the following integral.

Q: Evaluate the indefinite integral I si 3 sin³ v cos¹vdv + C

A: To evaluate the following integral.

Q: A random variable has CDF given by F₁ = JA i = 0, 1, 2 1 i = 3 if A = 0.81, then what is p3? Round…

A:

Q: (3) J -x² + 4x 2 x³ + 4x² + 4x + 3 dx

A:

Q: Let f be the function given by f (x) = 2x³ + x² - 3. What is the value of f' (2) ? A B 56 28 25

A:

Q: (integral)find the area bounded by curves

A:

Q: Use implicit differentiation to find e" + x² - y² - 10 dy dx

A: Solution-

Q: Part 2 (no Allar que = 10x7y - y, y(1) = - 3 = < Find the explicit particular solution of the…

A:

Q: Evaluate Sdx dx where A = 5x²-3x+2 and B = x³ - 2x². B

A: Evaluatedxwhere A = 5x2-3x+2B = x3-2x2i.e.

Q: Find the extreme values of the function f(z,y) = 2z² + 3y² on the circle z²+²=4 Use Lagrange…

A:

Q: The Second Derivative Test cannot be used to conclude that a = 1 is the location of a relative…

A:

Q: Solve the initial value problem y(t) = = dy dt Y t+1 + 4t² + 4t, y(1) = 8

A:

Q: following equation to Cartesian coordinates. Describe the resultir =9 an equation is (Type an…

A:

Q: Find the points at which the following polar curve has a horizontal or a vertical tangent line. r=2…

A: The given polar curve is .The objectives are to calculate the points where the tangent lines are…

Q: Use Pascal's Triangle to expand (5x + y) 4. Express your answer in simplest form.

A: The given expression .The aim is to expand the expression using Pascal's triangle.

Q: c) y = sin 53x e) — (In|sin x) d) Find s" (t) for the function. s(t) = 3t² + 5e f) y = sin-¹(x² - 1)

A: To differentiate the following and to simplify.(c) To find .(d) To find  for the function.(e) To…

Q: Find the standard form equation for a hyperbola with vertices at (16,0) and (-16,0) and asymptote y…

A:

Q: Use Pascal's Triangle to expand (4x² + 1)4. Express your answer in simplest form.

A:

Q: Use the Ratio Test to determine the convergence of the following series. 8 Σ(-1)+1 3nn! nn n=1

A:

Q: Let g be the function given by g(x) = lim cos(a+h)-cos. What is the instantaneous rate of change of…

A: The given function is

Q: Find the area inside r = 3 sin and outside r = 1+ sin 0 O T None of the given choices 01 O 0 7|4

A:

Q: Find the Maclaurin series for the the function f(x) = 1 √5 - x

A: Find the Maclaurin series for the function

Q: [s sin x cos x esin²x+dx = A B C D - sin x cos x esin²x+ esin²+ + C 1/2 (sin ²x + 7) + C e -…

A:

Q: Determine the total charge transferred Over the time interval of o≤t ≤2 see when i(t) = 4e-0.3t че…

A:

Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 3x² + 2y² - 4z (a) Find the rate of…

A: We have to calculate the rate of change of temperature (directional derivate) and then we have to…

Q: Find the interval and radius of convergence for the power series. Show all your work clearly. 80

A:

Q: You have been given the equation: 2x z² + y² = 2 And P=(1,-1,1) Determine the equations for the…

A:

Q: Vertical Asymptote: X = (0, x-Intercept: ,0) No vertical asymptote (₂) No x-intercept y-Intercept:…

A:

Q: Determine each feature of the graph of the given function. f(x) Answer Attempt 1 out of 2 4 2x - 3…

A: To determine the features of the graph of the following function.

Q: Evaluate Adx. S & dx Where A = X ² + 8x-3 and D=X²+3x B and 2

A:

Q: The piecewise function f(x) is graphed below. Use geometric formulas to evaluate the following…

A:

Q: Find the Taylor polynomials of orders 0, 1, 2, and 3 generated by f at a. a) f(x) = e2x, a = 0

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find all x-intercepts of the following function. Write your answer or answers as coordinate points.…

A: f(x)=(x2-64)/(3x-24)

Q: v(t) = t³ - 5t² + 6t; 0 ≤ t ≤ 5

A: The given velocity function is  ,

Q: Find the equation for the tangent line for f(x) = x² at x = 2.

A:

Q: Find for y=x²³√x+1. dx A. 3x² 2√x+1 C. 3√x+1 B. D. (7x+6) 2√x+1 2√x+1 √26 +1

A:

Q: *Find the equilibrium price and quantity for the following supply and demand functions. Demand: p=…

A:

Q: Let f³ f(x)dx = 12, f³² ƒ(x)dx = 3, få ƒ(x)dx = 4 ƒ² (2ƒ(x) — 1)dx Find

A:

Q: Show that I is not a zero of 3 2 P(x) = 8x³ + 6x² – 3x-1 -

A: To show that  is not a zero of the following polynomial.

Q: 6. Use the first derivative to determine where the function is increasing and decreasing and where…

A: By using the first derivative to determine where the function is increasing and decreasing where all…