Which of the functions shown below is differentiable at x = -3? Select the correct answer below:

Q: number. Fr 11. The sum of the measures of the three angles of a triangle is 180°. The middle-sized…

A:

Q: 17. The amount, A, of 108 grams of a certain radioactive material remaining after years can be found…

A: Given that the amount A of 108 grams of a certain radioactive material remaining after t years is

Q: Evaluate I = (sin x + 2y) dx + (8x + y) dy for the nonclosed path ABCD in the figure. y C B A=…

A: Here  we have to find the integral along closed path.

Q: Find a, b, c, and d such that the curve ?=??3+??2+??+? has its tangent line at(1, 1) and at (0, -2)…

A: The objective of this question is to find the coefficients a, b, c, and d of the cubic function y =…

Q: (0) Σ n=1 (-1)" τα ηλ -(3x - 1)"

A: We are given the series  and we are to find the radius of convergence R and interval of convergence…

Q: Find the indefinite integral. [(e² + +6) dx = +C

A: We have to find the integration of

Q: Find the area of the region enclosed by the curves between their intersections. y=x² and y= 2x

A:

Q: Find the area under the given curve over the indicated interval. X5 y = 6x + 2x+5e; x = 1 to x = 3

A:

Q: 3 x¹ +1 dx

A: The given integral is (x4+1)/x2, limit from 1 to 3.

Q: Given f'(t) = -0.2t-e-t, compute f(4)-f(1).

A:

Q: Determine lim f(x) given the definition of f(x) below. (If the limit does not exist, enter DNE.)…

A: For finding, if f(x) is a polynomial, then for finding limit, we need to substitute a in f(x) and…

Q: Evaluate the following indefinite integral. S dt 16-48

A: we need to find out the indefinite integral.

Q: Use either a graphing calculator or a spreadsheet to complete the table. Express all your answers as…

A: The given function is

Q: Use integration by substitution to evaluate (In(x)) ² f(m(x 2x -dx

A: I=∫(ln⁡(x))22xdx

Q: Find the center, foci, and vertices of the ellipse. Graph the equation. 4(x + 5)2 +8(y-2)² = 32 Find…

A:

Q: Consider the following. Find f'(x). f'(x) = f(x) = 5x - 60x1/3 X = 5- 20 6|N X Find all critical…

A:

Q: Find the logarithm. 1 log 5 625

A:

Q: Use Newton's Method to find the third approximation -x3, for the root of f(x)= x^3-5x+1. Let x0= -3.

A:

Q: Given the function f(x)=x-7, find the net signed area between f(x) and the x-axis over the interval…

A: Given that the function y=x-7 we have to find the area of the region [-1,9]

Q: Given the graph of f(x) below, find the graph of the derivative of f(x). 1-6-5-4-3-2-1 1.7

A:

Q: Find the vertex, focus, and directrix of the parabola with the given equation. Graph the equation.…

A: The given equation of parabola is The vertex form of parabola with the vertex  is

Q: Suppose that SpaceX launches a rocket at t = 0 seconds and that its height, in meters above…

A: Given the height of rocket is

Q: 2. For the function g whose graph is shown, state the following. (b) lim g(x)= x-0 (a) lim g(x)=…

A: The graph of the function is given.The aim is to find the e)The equation of the vertical asymptotes.

Q: Find the intervals on which the graph off is concave upward, the intervals on which the graph off is…

A: The objective of this question is to find the intervals on which the graph of the function f(x) = -x…

Q: 1. A rock is thrown upward with a velocity of 20 meters per second. Its height, in meters, t seconds…

A: According to our guidelines, we can answer only first question (due to multiple questions). Kindly…

Q: c. Which of the following expressions is equivalent to ln (10x²) for all values of x, including x <…

A: The given logarithm expression .The aim is to find the equivalent expression.

Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

A:

Q: Evaluate the following expression. log77⁹

A: ...(1)                         ...(2)

Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integral. S² dt

A:

Q: Find the general solution of the linear nonhomogeneous recurrence relation An = 3an-1 + 10an-2 +…

A:

Q: A box with a lid is to be made from a rectangular piece of cardboard 11 cm by 16 cm, as shown in the…

A:

Q: 7. Use the Fundamental Theorem of Calculus, if possible, to evaluate the definite integral. a) f³…

A: The given integrals

Q: Use a familiar formula from geometry to find the area of the region described and then confirm using…

A:

Q: Find F as a function of x and evaluate it at x = 0, x = π/4, and x = π/2 8 de F(x) F(0) F(7) F(-/-)…

A: The given integral is .The aim is to find the values of .

Q: Set up, but do not evaluate, an integral for the area of the surface obtained by rotating the curve…

A: y = xe-x , 1 ≤ x ≤ 7

Q: A retail business owner wants to build two adjacent retail stores on a rectangular plot of land. The…

A: The figure

Q: Draw the region whose area is given by the definite integral. | 16-2 (6-2x)dx

A: I=∫03(6−2x)dx

Q: The amount, A, of 159 grams of a certain radioactive material remaining after years can be found by…

A: Given that the amount A of 159 grams of a certain radioactive material remaining after t years is

Q: Find the vertex, focus, and directrix of the parabola with the given equation. Then graph the…

A: The standard form equation of the vertical parabola:Where  is the coordinate of the vertex of the…

Q: Given f is concave down and ƒ (4) = −2 and f1 (4) = 3. What is the estimate for = 4? Is it an…

A:

Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

A:

Q: TU Find the speed for c(t) = (3 sin(5t), 8 cos(5t)) at time t = FR

A:

Q: I need to find whether a series converges and if so I need to find the sum. the series is: the sum…

A: the series is: the sum from k=1 to infinity of 1/(16k2 - 4)

Q: 7. Consider f(x) = for X for (x-3)² for (a) Sketch the graph of f. 3-x (b) Find each limit. (i) lim…

A: as per our guidelines we can answer only 3 sub parts of a given question so kindly repost the…

Q: Given 6xy= 2 + y³ ,  a) Find the coordinates of a point on the curve at which the line tangent to…

A:

Q: g(t) = t³+ t².

A: g(t)=t3+t2

Q: Find the exact value of the integral using formulas from geometry. (3 (3+x)dx a) Write which…

A: We have to find the exact value of integral using formula from geometry.Given integral Here…

Q: Given the graph of f(x) below. Determine the average rate of change of f(x) from x = -2 to x = 2.…

A:

Q: them by mteger values. For each of the following logarithmic expressions, give the two integers that…

A:

Q: Question 1 (i) Determine dy/dx in the following: (ii) y = cos(x³ - 2x) y = x²-2 sin x y² −2(x+y)+x²…

A: