11. If x is a right endpoint and f'(x) is positive on the interval to the left of x, then f(x) has at x. A. a maximum B. a minimum C. no extrema 12. What is the x-coordinate of the critical point of the function y = (x+ 2)3. B. x = -3 A. x = -5 C. x = -2 D. x = 0 13. A cylindrical can is to be made to hold 1.5 L of oil. Find the dimensions that will minimize the cost of the metal to manufacture the can. A. Radius: 5.4 çm; height 10.8 cm B. Radius: 6.3 cm; height 12.6 cm C. Radius: 8.2 cm; height 16.4 cm D. Radius: 6.2 cm; height 12.4 cm

Q: 4 20 Find f(5x)dx if f(x)dx = 3. Enter the exact answer. 4 f(5x)dx =

A:

Q: Se csc*(5x)cot*(5x)dx .4

A: u=5xdx=du5I=15∫ csc4u cot4u duI=15∫ cot4u csc2u (cot2u+1) ducot u =t-csc2u du=dtI=-15∫ t4t2+1 dt

Q: 1. Evaluate the integral: SSf, xe**+y<+zt dV where B is the portion of the unit ball x² + y² + z² < ...

A: Here, the region B is the portion of the unit ball x2+y2+z2≤1 that lies in the first octant. Convert...

Q: E(-1)"- п — 1 n=2

A:

Q: (3x – 1)" 5" /n +1' Find the radius and interval of convergence of the power series n=1

A:

Q: ハメー X1 YxJ dx |

A: Find the integral

Q: If 8 (x) = | sinx dx and g |=3, then g (o) is equal to A -2 B D 4 2. 1.

A:

Q: (Зл — 1)" 5n /n +1 n=1

A:

Q: 3. Consider the series n (2л — 1)8п. - п4 + 1 n=1 Use the previous item to find its interval of conv...

A: Solution is given below:

Q: Solve the following problems. Show complete solutions. 1. S sin° (2æ) cos (2æ)dæ

A:

Q: Write a chain rule formula for the following derivative. for u = f(p, q); p = g(x, y, z), q = h(x, y...

A: Given a function u=f(p,q)

Q: Recycling Programs The commissioner of a particular city's recycling program assesses that the amoun...

A: for 2008 here t = 8 so put t = 8 in equation N(t) = (200,000)/(2.5 + 3e-0.5t) N(8) = (200,000)/(2.5 ...

Q: ch of the following sequences. Always justify your ans 1+ncos(2m) sin n+ c - In с) а, d) а, 2n 3 n°

A:

Q: |e2 sin²(e2«) cos(e24) dx. we let u =e2* To evaluate А) True B False

A: Given:       ∫e2xsin2(e2x)cos(e2x)dx      let u=e2x→du=2e2xdx           =∫sin2ucosu2du            =1...

Q: Find the surface area of revolution about the y-axis of y = 2x + 3 over the Interval ISIS4

A:

Q: The distance d of a point P to the line through points A and B is the length of the component of AP ...

A:

Q: z, Z2 Prove

A: If z =x+ iy then  z = x- iy. i2 =-1.

Q: y)dx

A:

Q: ydy – ydx = xdx; when x = y= 0

A:

Q: (

A:

Q: Find the integral of sin^8 xdx from x = π/2 to x = 2π  a. 0.814 b. 1.289 c. 0.240 d. 0.365

A: We have to find  the integral of sin8 xdx from x = π/2 to x = 2π 

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

A:

Q: Find the solution of the initial value problem dy/dx=27e^6x_3y ,y(0)=0

A: This is a problem related to differential equation. Based on the integrating factor formula we will ...

Q: Sketch the region enclosed by the given curves. y = x* - 15x?, y = x? 20 4 40 -6 -2 6 2 -20 20 -6 -4...

A:

Q: 00 Σ The population of a country dropped from 51.6 million in 1995 to 45.5 million in 2009 Assume th...

A:

Q: 2+3i ++i Evaluate the expression 1+2i, 6-i, Express the answer in rectangular form.

A:

Q: A plant encloser is in the shape of half of a cylinder. Find the surface area of plastic covering. L...

A: Surface area

Q: given the system of equations: 4x(x2 + y - 11) + 2(x + y2 - 7) = 0 2(x2 + y - 11) + 4y(x + y2 - 7)...

A: We need to solve the given system of equations for x and y: 4xx2+y-11+2x+y2-7=02x2+y-11+4yx+y2-7=0  ...

Q: Voter Registration The amount of voters in a city's district should grow at the rate of 1500 / (8 ...

A: at present it is = 25000 after 2.5 year so t =2.5 growth = 1500/(8 + (2.5)2 )0.5  growth = 1500/(8+6...

Q: The function y = 2x2 for -3 ≤ x ≤ 3 is given. a) Plot the graph b) Find the gradient at x = 1

A:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A:

Q: Show that the function has one zero in the given interval f(x)=x^4 + 3x + 1 [-2,-1]

A:

Q: 3 dx 25¢16x2

A: We can evaluate the given integral by using the following formula.

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 17 + 4x - x...

A: Given function f(x)=17+4x-x2   ; [0,5]

Q: me: urse/Year/Section: Date: Find the derivatives of the following: 1.) x* + 2y = 6x 2.) f(x) = (tan...

A: We are asked to find the derivatives of the following.

Q: Find a formula for the nth term of the sequence. - 2, 1, 6, 13, 22, ... Determine the sequence's for...

A: We have to find the sequence's formula in terms of n. 

Q: Determine if the series is absolutely convergent, conditionally convergent, or divergent. Vn (a) (-1...

A:

Q: 4) Find dy given: y (1-x)(1+ x )(1+ x³ )(1+x*) dx d'y given: y= (5x -3X7x+x) 5) Find dx

A:

Q: Determine the intervals on which the function is concave up or down and find the points of inflectio...

A:

Q: 5. Use the comparison test to determine if each integral converges or diverges b) 2 2/3-4 a) e-x² dx

A: Solution: 5.a ∫1∞e-x2dx

Q: 3. If f(r, y) = x*y - 2x-4y, then the total derivative of f

A:

Q: The region bounded by the curve x=y?, the y-axis, and the line y=2 is revolved about the x-axis. Fin...

A:

Q: wnd the point of intersection of the line through (1, -3, 1) and (3, -10, 5), and the plane given by...

A:

Q: dt Which of the following is one of the correct steps to evaluate ? 4e'+e 4dt 4e'+e- 2e"dt B В 21 4e...

A:

Q: Consider the Second Order Differential Equation d?i di drz +77+ 10i = 0 dt Where i represent current...

A:

Q: Find the derivative of the function at Po in the direction of u. f(x, y, z) = In(x 2 + 3y 2 + 9z 2),...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: f(x) : x?

A:

Q: Consider the following planes. -6x + y + z = 6 12x – 2y + 6z = 36 (a) Find the angle between the two...

A:

Q: 1 is divergent. all n, then n=1

A:

Q: given 2=y+h (x= yz) and h Ct) is continwas そ X. aメ what Is

A: