State the domain for the function f(x) = log4(x): Use the paper

Q: Given the function below, evaluate and simplify f(a + b). 2x x² + x (A) / (B) a a+b f(x) = (C) 2…

A: The objective of the question is determine the function f(a+b).

Q: Find the distance from the point (1,-7,-8) to the yz-plane.

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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->0) (f(x+h)-f(x))/h

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Q: Find the definite integral 0 8 √√√9-9x² Provide your answer below: dx.

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Q: Find the area of region bounded by generated curves. Do not forget to show your graph. 9. R is the…

A: We are required to find:

Q: (VI 1 1+t-4 6 tv1+t / 1 t/1+t-4

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Q: Given f(x) = 1|. x + 1 x + 1 Find: lim x→4¯ f(x)

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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: Use the graph below to find the indicated limits. If a limit doesn't exist, state DNE. If doesn't…

A: This is question of calculusHere graph of function is given we have to find limit of given function…

Q: If f(x) = x¹ +3, g(x) = x − 9, h(x) = √x, then fogoh(x)=

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Q: V9-4x2 x2 dx

A: Here we have to evaluate the integral,.

Q: An? + 15η n=23n – 5n2 – 17 1= 75. Σ

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Q: 2. Sketch the line = (-4,-4) + t(6,8).

A: To sketch the line r=(-4,-4)+t(6,8)

Q: dx [(x - gx)] dar [21/a>

A: To differentiate the following functions.(i) (ii)

Q: An energy-efficient hard drive has a 1.9-in diameter and spins at 4600 rpm. Part: 0/3 Part 1 of 3…

A: An energy-efficient hard drive has a 1.9-in diameter and spins at 4600 rpm.(a) To find the angular…

Q: (3) 1 9 x (1 + 4log²x) dx a) ≤ arcta Carctan (210 +2 Laretanly log) 45 36 Starctan (2 log) 47…

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Q: Please draw a picture and label the answer and write the answer in radical form and decimal form…

A: If a ladder 8 feet long is placed so that it just reaches a window 6 feet from the ground, then to…

Q: Use cylindrical coordinates to evaluate JJJ z dV, where E is the solid that E lies between the…

A: Solving the problem

Q: Select all of the following that need to be analyzed (or looked at) when deciding if a function, f…

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Q: Find the area of region bounded by generated curves. Do not forget to show your graph. 2. R is the…

A: Given :- R is the region bounded by y=x²+1 , and the lines y=2 and y=5.To find :- The area of region…

Q: Evaluate the integral. (Use C for the constant of integration.) 25dx 25 + ex

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Q: Find the absolute extrema of f(x) on the given interval (Remember, it is implied you will give the…

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Q: For the function shown in the graph, give the interval(s) where the rate of change of f(x) with…

A: For the function shown  in the graph, to give the interval(s) where the  rate of change of  with…

Q: Using cylindrical shell method, find the volume of the solid S: R is the region bounded by x= y²+1…

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Q: An energy-efficient hard drive has a 1.9-in diameter and spins at 4600 rpm. Part: 0/3 Part 1 of 3…

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Q: 2 Find the derivative of the function. f(x) = (2x³ - 5x² + 4)³ f(x) = √√√5x + 1 g(t) ƒ(0) = = 1 (2t…

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Q: Show that 2y" - y - y = 0 when y=e* + e.

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Q: up an integral that i represents the arc length of the function y = 5x4 + 5x from the point…

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Q: Verify that Rolle's Theorem can be applied to the function ƒ (x) = x³ – 11x² + 38x − 40 on the…

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Q: 30. The population of a bacterial culture was 5000 bacteria after 15 min and 40 000 bacteria after 1…

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Q: j(x) = X 9. j(5) = x-5 X j(x) 10. lim j(x) as x->5 = 11. j(0) =

A: J(x)=(x-5) /x

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

A: As per the guidelines, I am providing the solution to the first question.

Q: A large tank is partially filled with 100 gallons of fluid in which 40 pounds of salt is dissolved.…

A: Let x(t) is the number of pounds of salt in the tank after t minutes and v(t) is the volume of the…

Q: determine convergence or divergence using any method covered so far.

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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: 25. S sin 0 de 26. •fº, 7 dx

A: (25)

Q: Consider the following cost function. a. Find the average cost and marginal cost functions. b.…

A: C(x) = 0.04x^3 +0.02x^2 +30x +90, 0< x < 1500, a = 1000The marginal cost function is the first…

Q: 10. Given X(7,3) and Y(-6,2), find the coordinates of any point Z such that XZ XY = 41. .

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Q: d dx [T"]

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Q: Convert the given angle to decimal degrees. Round to 4 decimal places 10°12’25” =

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

A: The given curve is:

Q: Question 3. a. Use Cramer's rule solve the following system for x and y b. Let A - ( ₁ = 4 1 x - 2 x…

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Q: Calculate the iterated integral. [1³ In(y) dy dx xy

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Q: f dy fer, dx

A: In this question , we can change the order of the integration.

Q: 3 aj X dx 2 12 = 4x²y

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

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Q: Find a general function for an arithmetic sequence with a6=2 and a12= -16

A: To find a general function for an arithmetic sequence with  and .

Q: 1 n=3nln n-n K

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Q: Suppose the line tangent to the graph of f at x = 4 is y=6x + 1 and suppose y=2x-3 is the line…

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