Suppose that f is a function with f'(6) = 0 and f''(6) = 2. O Then f has a relative maximum at x = 6. O Then f has a relative minimum at x = 6. O Given this information, we cannot determine whether f has a maximum or a minimum at x = 6.

Q: Which equation choice could represent the graph shown below? -10 9 8 7 6 5 -4 -3 -2 -1 Of(x) =…

A: Given query is to find the equation of the graph.

Q: Σ 1 8

A: See this solution in below.

Q: How many horizontal asymptotes does the following function have? cos(x) X f: RR, f(x) = ‹ Select one…

A:

Q: Suppose that you perform integration by parts on the integral have set u = ln x and dv Select one…

A: The given integral is: I=∫x3lnxdx   Use the integration by parts; ∫udv=u·v-∫vdu And The Power rule:…

Q: Question 15 Find constants 4 and 8 such that the function y Asinx + Bcost satisfies the differential…

A:

Q: Given 3x²-5y³ = 4x² + y² - 7 find dy dx and d² dx² y at the point

A:

Q: What are the real roots of the function in the graph? y -7 -6 -5 -4 -3 -2 A 3 B 4- -6 - 5 4 3 2 11 0…

A:

Q: If 3x - 5 ≤ f(x) ≤ x² - 3x + 4 for x ≥ 0, find lim f(x). x →3

A:

Q: QUESTION 2 In the figure below a = (3,1,0) and b= (2,5,0) X Z B TO If 0 = π, what are both a b and a…

A:

Q: In Exercises 1-17 find a particular solution. y' + 3y + 2y = 7 cos x - sin x y" + 3y + y = (2-6x)…

A: Note: - According to the company policy we can attempt only one question so please upload the next…

Q: a: Question 6 x² Let f(x)= for x # 1. x-1 Find local maximum value(s) and local minimum value(s) of…

A:

Q: Write a polynomial with degree 4 that has a zero at x = 4i, and a zero at x = 2 with a multiplicity…

A:

Q: The half-life of cesium-137 is 30 years. Suppose we have a 700-mg sample. a) Find the mass that…

A: Given :Half-life of cesium-137 is 30 years

Q: tim x →1 x 3x+2

A:

Q: The given point is on the curve. Find the lines that are (a) tangent and (b) normal to the curve at…

A:

Q: 2. Determine whether the series (a) Converges 00 (b) 5 3/2 converges or diverges. Diverges

A: need to find out the the series converges or diverges.

Q: QUESTION 14 For f(x, y, z) = x²y-z and F(x, y, z)=xi-xy j + z²k calculate Vf +Vx F.

A:

Q: 100 [ k 7k+9 k

A: We  apply here root test

Q: Solve for the particular solution of the given IVP: Q y^(-3) = 9/5x^(-1) - (49/5)x^(-6) Oy^(-3) =…

A:

Q: Given the augmented matrix 0 k-1 k+1] Select one alternative: ○ k = 1 and k‡ -1 Ok #1 ○ k = 1 and…

A: Given augmented matrix:- 10|       10k+1| k+1

Q: A function f(x) has an inflection point at (1,8). Which of the following could have been the result…

A: A necessary condition for x to be an inflection point is f''(x)=0. A sufficient condition requires…

Q: QUESTION A3 Calculate the test statistic, Z for the population mean.

A: The test statistic is a z-score (z) defined by the following equation. z=(p−P)σ  ,  where P is the…

Q: -15 4 -3 गी 9 6 2 6 $ ई 4 s े + + ई 4 -$ + -7 2

A: Here we have graph of a function f(x)  Then we have to write it's domain

Q: Find the general solution of the given differential equation: Oy Inic(1+x) = 1 Oy Injc(1-x) = 1 O…

A:

Q: 7. Use the given information to find the indicated probability. P(C) -0.6, P(B)-0.5, P (CUB)-0.7,…

A:

Q: Use the relation lim 0-0 lim X-0 tan (5x) X OA. lim Ꮎ Select the correct answer below and, if…

A: given limθ→0sinθθ=1   tan(x)=sinxcosx

Q: 8. Given that f"(x) = 4x- x² + 3 use a test to find all intervals on which f is concave up or…

A: 8)

Q: Use the graph at right for questions 4 and 5. It consists of a semicircle and two line segments. 4.…

A: Graph of derivative function f'(x) for a function f(x) does not exist at x=c iff f(x) is not…

Q: Given the function f(x) = = 9x³101x² + 274x - 56, and knowing one factor is (9x - 2), write f(x) as…

A:

Q: Find the area of the region bounded by the line  y=6-2x and the coordinate axes. (Write only the…

A:

Q: [5/4 sin x dy dx

A: Here we have to find the double integral.

Q: 13. After t weeks of practice, a typing student can type w(t) 100(1e-0.4t) words per minute. How…

A: Given query is to find the time when the typing speed will reach to 80 words per minute.

Q: If p(x) = log7 :), find p'(x). x37x 6x+5

A:

Q: use the definition of the derivative derivative of the f(x) = 5-4x + 3x² to find

A:

Q: A bacteria culture initially contains 300 cells and grows at a rate proportional to its size. After…

A:

Q: QUESTION 16 A line integral in two dimensions may be written as F(x, y)dw. What does (i) F(x, y),…

A: We need to tell about the line integrals in 2 dimensions. Line integrals appear as one of 2 kinds As…

Q: matrix B was obtained from matrix A by interchanging two rows. If det(B)=x+y , what is det(A) ?…

A: Given:    detB=x+y Property of Determinant Function:   If B is obtained by interchanging some two…

Q: To carry a suitcase on an airplane, the length + width + height of the rectangular luggage must be…

A: This is an optimization problem. We use V'(h)=0 to calculate critical points and see where the…

Q: y" - 4y"+y' + 6y=0

A: need to find out the solution of the differential equation.

Q: Write a function in any form that would match the graph shown below. -10 -8 -6 Answer: f(x) = -4 -2…

A:

Q: Limits

A: In mathematics, a limit is the value that a function (or sequence) approaches as the input (or…

Q: 9) Solve the triangle that has sides 4 ft, 5 ft, and 8 ft. Draw a picture of the triangle with the…

A:

Q: 1 z π/4 tan 0 sec 0 1 146. | [[ x² + y² 0 0 dy dx = dr de

A: Use the relation between cartesian coordinates and Polar coordinates.

Q: Define R as the region bounded by the functions f(x) = 1 and g(x) = e between x = 0 and x = 2. If R…

A:

Q: 9. We know that 1 ² = n(n+1)(2n+1). Use it to determine the following 26 Σ₁² i=6

A:

Q: 6х3 + 2х2 +22х 2х2 +5

A:

Q: find the slope of the curve at the indicated point. Y= -6x-6, x=3

A: Given query is to find the slope of the curve.

Q: 6. The series 겨 8. (a) Converges absolutely (c) Diverges (b) Converges conditionally

A: To find the convergence of the given series.

Q: 22 Which of the following is a normal vector to the plane which is parallel to vectors (4, 1, 0) and…

A: Let's find normal vector to the plane which is parallel to given both vectors.

Q: Sketch the graph of the function below, including correct signs, x-intercepts and y- intercepts.…

A: