The statement 972 92=27 0/=log, 27 3 1027= log²/1 O9-108272 O 27=log, 9 translates into which of the logarithmic forms below:

Q: If R is the region between the graphs of the functions f(x) = 4x³ + 9x² + 7x-3 and g(x) = 5x³ + 2x²…

A: Two function are given÷f(x) = 4x3+9x2+7x-3g(x) = 5x3+2x2+17x-3We need to find the area between the…

Q: 9. Determine the exact point on the line x + 2y = 2 that is closest to (0, 0).

A:

Q: 1. Determine the derivative of each function. (DO NOT SIMPLIFY) c) y = 2-x² d) f(x) = sinx cos2x

A: To determine the derivative of each of the following function.(c) (d)

Q: find the area of r= 1+ Sin in the first guadrant

A: The given curve is:

Q: Be sure to show all necessary work in your solutions. Question 1 If cos = with <# < 2x. then find…

A: Using pythagorean identity sine is negative in quadrant IV

Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do…

A: Consider the given expression."As per the rules, we are supposed to answer the first question and…

Q: It is theorized that a particular culture of bacteria increases according to the model P(t) =…

A: Given

Q: On the grid below, sketch the graph of an example of a function f that satisfies all of the given…

A:

Q: 8. Find the parametric equations for the plane that passes through the points: P (2, -2, 3), Q (0,…

A:

Q: Find S10 for the arithmetic sequence 13,15,17,19,21,23,….

A:

Q: Consider the following function. f(x, y, z)=√√x² + y² + z² Find fx(x, y, z), fy(x, y, z), and f₂(x,…

A: We have,    f(x) = √(x2 + y2 + z2 )Point: ( 6 , 2 , 9 )

Q: Evaluate W(3,-1) for the function W(x,y) = 4x^2 + y^2

A: W(x,y) = 4x2 + y2Find W(3,-1)

Q: We will evaluate the following improper integral: I [ª da (22+4)2 First we will do the indefinite…

A: We solve this integration problem by using general property of integral.

Q: 8. Consider the vectors u, and w. If 2ū= [2, -2, -6], [-1, 1, 2], and W = [-1, 1, -1] find the exact…

A:

Q: not

A: Solving the problem

Q: (1) Find the limit (show the steps). lim 0-0 (cos 30) - 1 sin 50

A:

Q: f(x)= 72 X f'(x) = (Type an expression using x as the variable.)

A: We know that the defination derivative formulaf'(x)=lim_(h-&gt;0) (f(x+h)-f(x))/h

Q: Slus 21 1 e - 15. lim 1-0 sin t

A: according to bartleby guide line we do only first part of multiple questions.(15)

Q: State the domain for the function f(x) = log3(x) - 1: O (-00, 0) O (-∞0,00) O (-∞, -1) O (0,00)

A:

Q: 6. Given D(4, 0, 9), E(3, 7, -8), and F(-2, -5, 5), determine a) DF b) DE+EF (exact value)

A: Here we have given coordinates of points .Note 1:The coordinates of the two points in order to write…

Q: (3). Find the critical numbers 1/ a) b) f(x)=x²-x²-2x+3 f(x)= x(3-x)¹/3

A:

Q: Find three positive numbers whose sum is 120 and whose product is a maximum. (Enter your answers as…

A:

Q: f (x) || 2x+5 5x-1

A:

Q: Find the derivative of y = sin ¹(√2x) -

A:

Q: Fast pls solve this question correctly in 5 min pls i need urgently pls solve Nid Create a table of…

A:

Q: Let Q(t) denote the population of a certain country at time t. In 1970, the population was 2.5…

A: The first situation is represented as, (where growth factor=1.018 and growth factor=1+r, here r is…

Q: 1. Use the graph off to state the value of each statement if it exists. a. lim f(x) x-1- b. lim f(x)…

A: As per guidelines, At a time only three sub-parts can be answered.Please repost for other…

Q: 2. Prove that fo So dx=3(2-√2)

A: We need to solve integration problem.

Q: For each of the following statements, state which are TRUE and which are FALSE. (Note: The symbol x…

A: Vector cross Product:If we have a vector , then the cross product of  with itself is:Vector Scaler…

Q: Calculate the area between the curves y=√x, y=2√x and y=x line.

A:

Q: Find the derivative of y = -10x¹ sin (2x) + e cos 2x

A:

Q: 1) Consider the function z = x² sin(ny) +; xy² a. Find the partial derivatives. b. Find the tangent…

A:

Q: Consider the function f(x) = (a) Find the domain of f(x). Note: Use the letter U for union. To enter…

A: Note : as our guidelines , we  can solve first three subparts . Please repost remaining parts or…

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A:

Q: Calculate the area, in square units, bounded by g(x) = 4x + 8 and f(x) = x² + 19x+62 over the…

A:

Q: (cos x - xsinx)ydy + (x cos x - 2y) dy = 0

A:

Q: Given the function f(x) = 3-5x, evaluate the number f-¹(1).

A: The given function is:

Q: A 200-volt electromotive force is applied to an RC-series circuit in which the resistance is 1000…

A:

Q: Use the graph off to state the value of each statement if it exists. y = f(x)

A: The function of f(x) is given.As per guidelines, At a time only three sub-parts of a question can be…

Q: stance in between the point P

A:

Q: Classify the ser The series is extbook k=1 solutely cogent, conditionally convergent, or dive Use…

A:

Q: A ball of radius 12 has a round hole of radius 4 drilled through its center. Find the volume of the…

A: A sphere is given having a hole and we need to find out the volume of the resulted solid.

Q: Evaluate the following definite integral. Provide your answer below: Lax√812²-81 dx

A: The given integral is 8/[x sqrt(81x2-81)], limit from sqrt(2) to 2.

Q: 1 Si 1+z2 da is convergent because 1+z² Jhry sin x and ₁ sin² x dx is convergent. sin² 2.₁ side is…

A:

Q: Suppose the position of an object moving horizontally after t seconds is given by the following…

A:

Q: 11. g(t) = 1 (2t + 1)²

A:

Q: 4) Find дz Əs when r = 2 and s = 0, if: z = 2x²y = x + y x = 1+s y = ers

A:

Q: Show that f is continuous at a if and only if f is continuous* at a.

A: Using, alternative definition of continuity we can show easily that f is continuous function

Q: Find the directional derivative of f at the given point in the direction indicated by the angle 8.…

A:

Q: 1. The graph of y=f(x) is shown below. Sketch the graph of its derivative function. y = f(x)

A: Given :-  The graph of  is shown below.