S 1 x-6x+8 - dx = x-4 (A) In 2 x-2 (B) +C X 1211x2² +0 In +C x-4 (C)=12m|(x-2)(x−4)|+C (D) ²1m|(x−4)(x+2)| +C (E)_ln|(x−2)(x−4)|+C

Q: Consider the graph of a function f on the interval [0,4]. y 10 8- 6+ 4 2 0 1 2 3 4 -X. Identify all…

A: 1) It is given that the graph of the function f on the interval 0,4. It is known that x=c is a…

Q: If ƒ (x) +x5(ƒ (x) )² = 34 and f(1) = 2, then f'(1) =

A: Derivative

Q: Assume that the fucntion f is continuous for all x. If f´ (3) = 0 and f´´(3) > 0, then the point (3,…

A:

Q: (a) 2n - 31 4n + 1)₂ { ∞ n=3

A: Solution: Given data, (a) { (2n-3)/(4n+1)}ₙ=3∞

Q: 2. Consider the graph of the function f(x) = 5x² - 8x. Calculate the slope of the secant that joins…

A: We have to find slope of secant line made by joining given x- values.

Q: Problem #7: Evaluate the following limit. lim (x, y)→(0,0) If the limit does not exist then enter…

A:

Q: Find the mass and the center of mass of the triangle with vertices (0,0), (0, 3) and (2,0) assuming…

A:

Q: dy Suppose that x and y are related by the equation 4x² - y² = 2 and use implicit differentiation to…

A: Given: Suppose that x and y are related by the equation 4x2-y2=2.

Q: By changing to polar coordinates, evaluate the integral L are tan (2) dy) dx. 0

A:

Q: How do you find these?

A: Here we have to find the extrema of the given functions.

Q: 8. Determine constants a and b such that f(x) is continuous for all values of x. ax + 3, if x > 5 8,…

A: Here we have to find the value of a and b.

Q: Consider the graph of Ax + By = C where A, B, and C are positive constants and A B. If the value of…

A: Solution: Given data, Ax + By = C where A, B, C are positive constants Ax+ By = C → (i)   X-…

Q: 1.. Compute the following integral using partial fractions decomposition: dx (x-3)(x-2) Start by…

A: ∫1x-3x-2dx

Q: 136,68,34,17         what is the seventh term?

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Evaluate the integral by interpreting it in terms of areas. L₁ (²+ 2 -10 100 - x² dx 2 X 2)

A:

Q: Compute the definite integral. (Use symbolic notation and fractions where needed.) [' to tan-¹(2x)…

A:

Q: Find the equations for the lines through the point (a, c) that are parallel to and perpendicular to…

A: Given query is to find the equation of the lines

Q: Find a point c satisfying the conclusion of the MVT for the following function and interval: f(x) =…

A:

Q: miscellaneous

A: We have to integrate according to the given information

Q: If f(x) = 3 x-3 7 and g(x) = 7x³ + 3, are f(x) and g(x) inverse functions?

A: The functions f and g are inverse functions for each other if and only if f∘gx=g∘fx=x

Q: Find D53 te (₁² +²²²) 20-²). Note: Read "D" f(x)" as "the nth derivative of f(x)"

A:

Q: 3 2 MA 5 Based on the graph above, estimate to one decimal place the average rate of change from z=1…

A: To find average rate?

Q: te f(x) = x 2-12 X-4

A:

Q: example г Find the centroid of the region bounded by the curves y = x ₁ x = 4 and the x-axis. (0,0)…

A: According to question,Given Curves,y =xx = 4andThe x-axis

Q: The annual profit P (in dollars) of nursing homes in a region is given by the function P(w, r, s, t)…

A:

Q: A ternary digit is either 0, 1, or 2. How many sequences of five ternary digits are possible…

A:

Q: Future Value of an Investment An investment is projected to generate a continuous revenue stream at…

A: Given, Rt=30,000e0.03t

Q: Use the four-step definition of the derivative to find f'(z) if f(x) = 91²-31 - 20. You may have to…

A:

Q: Find the gradient : f(x₁y) = 3x² - 4x^²y+y²³ at (41-3)

A:

Q: Assume that the given figure is the graph of f'. nu 1 2 3 4 Identify the true statements. 5 6 f (0)…

A: Given graph of derivative of function

Q: Find the directional derivative of f(x₁x) = 3x²³-y²° +5x²³y at (2₁-1) in the direction of -37-48

A:

Q: The critical number of the function f(x) = 6e-2x is x = 0 O a Ob False True

A:

Q: Change the order of integration. [( f(x,y)dx)dy. 0

A:

Q: grapn is giver y 1 X Determine the average rate of change between the indicated points on the graph.

A: From the given graph

Q: S₁ 9 $₂ = 81 X $3 $4 55 9 Σ; 27-1 n = 1 = X

A:

Q: You throw a ball (from ground level) of mass 1 kilogram upward with a velocity of v= 24 m/s on Mars,…

A: using kinematics equation:-mass of ball=1kginitial velocity vi=24 m/sacceleration due to gravity,…

Q: The total resistance R of two parallel resistors S and T' is given by Thus DsR = DTR = and R = ST…

A: Given

Q: Suppose that f(x) . (If an answer does not exist, enter DNE.) (a) Find all partition numbers of…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. kindly repost…

Q: 13. Suppose AB = AC, where B and C are n x p matrices and A is invertible. Show that B = C. Is this…

A: To prove B=C when A is not invertible.

Q: Let f(x)=3x^3−18x^2+27x−1 How many critical points does this function have?   How many inflection…

A:

Q: Use a graphing utility to graph the polar equation, draw the tangent line at the given value of 0,…

A: Solution is given below in details:

Q: f(t) f(t) = 0,73t³ — 2.² +0,6-and-g(t) = 0,17² - 0,5t + 1.1--1

A: see below the graph

Q: Which of the following sequences converge? 5n 2n-1 I. II. III. A en ten (A) I only (B) II only (C) I…

A:

Q: Which of the following are geometric series?

A: Here we have to choose the correct option.

Q: 5. Compute the derivative of f(x) - x³ (x-7) tan(x) √1-x (You do not have to simplify your answer.)

A:

Q: Use the following function along with its first and second derivatives to do the following: A. Find…

A:

Q: Given the following integral and value of n, approximate the following integral using the methods…

A: Given

Q: Identify the location and value of any relative maxima or minima of the function. Part: 0/2 Part 1…

A:

Q: d. y=191og74t e. g(x)=sin ¹(7-x) f. y = ln 1+x² xex

A: Derivative

Q: dx 2.) √ 8²x+1 €2x+1

A: