Suppose that f is defined everywhere and 1 are the only critical numbers for f. If f"(x) = 2x + 1, then f has a local x = -2 and x = maximum when x = 1. %3D Select one: True O False

Q: Use the Alternating Series Test to determine whether the alternating series converges or diverges.…

A: The given series,       ∑k=1∞(-1)k+1k+6 5k

Q: In (x + x²) dx

A: Given problem:- ∫ ln(x+x2) dx

Q: 5Sine cose do 4. Sin²e+ 3sine - 4

A: Given problem:-

Q: Find the differential equation having as solution of y = x sin(xtc) .

A:

Q: Obtain the general solution unless otherwise instructed 2. у" — у' — х — 0 SUMMARY OF ANSWERS 2. Yc…

A:

Q: The series 32n-54-1-2n is n=1 Select one: а. is a divergent geometric serie O D. is convergent but…

A: Topic:- sequence and series

Q: J(x+h)-f (x) h 4x+9x+5 Problem #1: Using lim, Find the slope of the tangent line y = 3x-8 at x = -1.

A: Given: y=4x3+9x+53x−8 Let f(x) =y=4x3+9x+53x−8 We know that f'x=limh→0 f(x+h)−f(x)h Now slope of the…

Q: Find an eigenbasis and diagonalize. (Show the details.) 14.4 -11.2 10. -11.2 102.6.

A: Given :14.4-11.2-11.2102.6

Q: Use the figure to find the exact values of sin(2u), cos(2u), and tan(2u). A(3-7) sin(2u) = cos(2u) =…

A:

Q: : Find the area of the region R enclosed by the lines y= x, y x/3 and y = 2?

A:

Q: Using linear approximation formula, approximate ln(1.02) 0.02 O 1.02 O In (1.02) O In (0.02)

A:

Q: Consider the two series: 2n + 3 (а) n² In n n=1 00 1+ (n – 1)! (b) E n! n=1 Which of the following…

A: 1) Hee, note that the first series first term it self a infinity.

Q: Complete the following steps for the given integral and the given value of n. 1/2 cos °x dx; n = 4…

A:

Q: First question: Find the inverse and determinate of the matrix A = [??H] -1-3 1 3 60 1 0 1 ||

A:

Q: solve for two cases . | csc²20 cot 20 do

A:

Q: Find the area of the triangle whose vertices are given below. A(- 3,5) B(3, - 2) C(10, – 2) The area…

A:

Q: a) Determine whether the series Σ is convergent or Vn3 + 4n + 5 n=1 divergent. b) Determine whether…

A: We have to find if the given series is convergent or divergent.

Q: 5TT 2. Cos 6. 2п Cos 3 + sin sin 6 - - - 3 一。

A:

Q: 1 + x² – 4x + 3 lim T→1- T2 – x

A:

Q: 3. Vsech 2t Evaluate dt 3. coth 2t

A: Application of integration

Q: dy 2- Inx- y 3- xe* dy +: x2+1 dx = 0 y %3D

A:

Q: y2+8y+5 (y-1)(y+1)(y²+8)² Integration by Partial Fractions

A:

Q: Show that the function f defined by (x, y) = (1, –1) f(r, y) = { x2 + y (x, y) # (1,–1) r + y is not…

A: To show that the function f defined by fx, y=1, x, y=1, -1x2+yx+y, x, y≠1, -1is not continuous at 1,…

Q: Use 4t order Runge-Kutta Method to solve dy = y' = x+y, y (0) = 1 & Y(2) = ? Use h = 0.5

A:

Q: S L-1 s2-4s+13)

A: Rewrite

Q: Find the local max and local min and saddle points of F(x,y)= 2x^2+y^4-4xy

A:

Q: What is the square root of -5?

A: Here we have to find the -5

Q: a) Determine whether the series 11n? + 8n + 32 is n³ + 3n² – 7n+ 1 n=1 convergent or divergent. b)…

A: !) The given series is: ∑n=1∞11n2+8n+32n3+3n2-7n+1 Let, an=11n2+8n+32n3+3n2-7n+1; n≥1& bn=1n;…

Q: Let C(x) be the cost, in dollars, to produce x gallons of gelato. What is the meaning of C'(5) = 4.5…

A: Given, C(x) is the cost in dollars. x is the gallons of gelato.

Q: Sider tne two 00 6n (a) 2 5n + 39 n=1 00 (b) 2 n2 In n n=1 Which of the following statements is true…

A:

Q: The following series is an alternating serie

A: Since we are given with the multiple number of question and answered according to the guideline

Q: Evaluate the function at the given value of the independent variable. Simplify the results. (If an…

A:

Q: 2x2 Find all critical points of the function f(x) = 5x2-2x+12 (Use symbolic notation and fractions…

A:

Q: so Je cos T0 d0

A:

Q: 4. x(x² – 1)² dx

A: Solution:

Q: Two plate are joint by three rivets of 15 mm diameter. What is the shear stress in the material if…

A:

Q: why discontinuous  if lhl and rhl are same zero

A:

Q: 1. Express A = (3, 1, –1) as B+ C, where B is parallel to the vector (1, 4, 2) and C is…

A:

Q: 4. The twice-differentiable function f is defined for all real numbers and satisfies the following…

A:

Q: In approximating the population in terms of t, P(t) = P(0) - tP'(0). If the current population of a…

A: This question is related to Functions, we will solve it using given information.

Q: 2x2 If we approximate f(-/4.1,/49.1)' Suppose we have a surface f (x,y) ,which of the following is…

A: I have appended the formula used in the solution part.

Q: Evaluate

A:

Q: Evaluate the following integrals. Show all the necessary solutions. 3. tane de ) 71+ In cose)43

A: Given problem:-

Q: Find the slope of the tangent line to the curve given by x + y° = 2 at the point (1, 1) -1 O 1

A: find the slope of the tangent to the curve x5+y5=2 at (1,1)   d(xn)dx=nxn-1

Q: 06: A- A projectile is to be fired from ground at angle of 30° to reach a target point that is 100m…

A:

Q: The area of the base of a rectangular prism is equal to the area of the base of a cylinder with an…

A: The area of the base of a rectangular prism is equal to the area of the base of a cylinder with an…

Q: "he following series is convergent: (8")(10") (7")(9") + 1 n=1 elect one: OTrue OFalse

A: Topic:- sequence and series

Q: In a particular very small region, the consumer price index, C, depends on the current value of…

A: In a particular very small region, the consumer price index, C, depends on the current value of…

Q: O2/ Find all Max. + Min. Saddle point for the function below. Flay) = 2 xy-5x-2y + 4x+4y-4 %3D

A: This is a problem related to maxima and minima of multivariable function. Based on the general…

Q: A petri dish has 10,000 bacteria in it. After 2  hours the bacteria's population increased to…

A: This question is based on exponential Function.