1) GIVEN: FID: X, 9, X 9 3

Q: Book Problem 27 If ƒ(2) = 25, ƒ' is continuous, and f f'(x) dx = 13, then the value of f(9) is

A: Given, f(2)=25, ∫29f'(x)dx=12

Q: 1. Find the following limits proving whether they exist or do not exist y² sin x X E) F) lim (x, y)…

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Q: The probability distribution for the random variable, x, is x:2, 2.5,3.0,3.5,4.0 ,4.5 and P(x):0.07,…

A: This question can be solved by adding the values 0.21,0.19,0.10 and 0.07.  The detailed solution for…

Q: If y=(sin3x-cos3x)², find dy dx

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Q: Q5/: Find the general solution of non-homogenous differential equation using Variation of Parameters…

A: Solution is given below:

Q: DUE NOW. Please answer all the script part as the same as the process on what's in the sample…

A: The objectives are: Now we have to make a script as the following;

Q: Estimate the limit numerically (or graphically). Use oo or -oo for too. Write DNE if the limit does…

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Q: Given the integral: fcos-¹ 1 x dx

A: Given :    Integral : cos-1(x) dx

Q: - Find dy at x = -1 if y=u³ +5u-4 and u = x² + x. dx

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Q: Question Find the area of the region that is bounded above by the curve f(x) = (x+3)² and the line…

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Q: Determine whether f is even, odd, or neither. If you have a graphing calculator, use it to check…

A: Topic = Functions Correct option = neither

Q: If the coordinates of any two points ₁ and ₂ are (x₁, y₁) and (x2, ₂), respectively, then prove that…

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Q: Which of the following satisfies the statement f(x) is O(g(x)) when x5log(x+1) f(x) = +16x²? -5x3…

A: Given data:- fx=x5logx+1-5x3-2x33+16x2

Q: Let g be a function where g(2) = 5 and g(8)= -9. Which of the following conditions is necessary to…

A: Let g be a function where g2=5 and g8=-9 we have to find the necessary condition for g such that…

Q: what points on the given curve  x = 2t3, y = 5 + 50t − 10t2  does the tangent line have slope 1?…

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Q: Complete the table to find the derivative of the function. Original Function Rewrite eBook y = 4…

A: Basic identities of differentiation are used.

Q: (3) Find the radius of convergence of a) infinite b) 1 not defined 0 infinite X Σ₁ F

A: The given series is: ∑j=1∞xjj2 Let, aj=xjj2; j≥1

Q: 15. E= {4, 9, 16,... } 16. F= {1, 2, 3, 4, 5, 6, 7, 8, 9} 17. G = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} 18.…

A: We can write the answers in the below steps.

Q: 2. Find the total area of the region between the curve and the x-axis. a. y=2-x; 0≤x≤3 b. y=3x²-3;…

A: Topic:- application of integration     Note :- as per our guideline if more than three subparts…

Q: Find all values x = a where the function is discontinuous. For each value of x, give the limit of…

A: We have to find all values x = a where the function is discontinuous f(x) = 3x2 + 8x + 4

Q: H

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Q: 16. Describe in your own words the difference between a scalar and a vector. 17. Given the vector F…

A: Scalar quantity is the quantity in which we consider only magnitude and vector is the quantity in…

Q: The line whose slope is 3 is tangent to the curve y=x² + 3x + 2 at the point, O (3,-2) O (-3,2) O…

A: The line whose slope is -3 is tangent to the curve y=x2 +3x+2 at the point. Here slope and line…

Q: Find the center and radius of the circle. (x - 3)² + y² = 36 center (x, y) = radius Sketch the graph…

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Q: 3. Find y' for y = cos(sin² x)

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 3. The graph of y = f'(x), the derivative of f(x), is shown below. List the intervals where the…

A: Graph of the function y=f'(x) is given we have to find the intervals at which fx is concave up.

Q: Solve the homogenous diff equation of; xdx . (y+1) dy y³ e-x = 0

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Q: Find the domain and range of the function. (Enter your answers using interval notation.)…

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Q: Officials in State A tend to raise the sales tax in years in which the state faces a budget deficit…

A: The diagram has been redrawn to indicate the required point.

Q: 3. Find all values of m so that the function y = tm is a solution of the equation 3t²y" +11ty' − 3y…

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Q: If f(x)=x²+ax+b and the slope of tangent at x= -1 is 4 and the curve passes the point (2,4) Find…

A: I have stated the used formula in the solution

Q: If P(A|B) = ½‚P(A|B') = 3, and P(B) = find P(A'). 10

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Q: 6./07 - A room is 12 ft wide and 15 ft long. How many square meters (m²) is the floor in this room?…

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Q: The probability that a component is acceptable is 0.93. Ten components are picked at random. What is…

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Q: Calculate the means and standard deviations of:1, 2, 3, 4, 5 O a. a. mean = 3; st. dev. = 1.414 O b.…

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Q: show that the mapping w = (1 − j)z, where  w = u + jv and z = x + jy, maps the region y > 1  in the…

A: Given data:- The given equation, z=x+ jy  and  w=(1- j)z

Q: Let f(x)=10-3x². Find the average rate of change of f(x) on each of the following intervals. (S…

A: Function

Q: Find the domain of the function. f(x) = (6cosx)/(1 - sinx)

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Q: X Given zx 2cos u; y = 3sin v, find y O-2cos u cos v 3 sin ² v O 2sin v 3 sin u O-2sin u 3 sin v…

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Q: Solve the differential equation. y' + y tan x = cos X, -π/2<x<π/2 A y = x cos x + c cos X, - B) y=x…

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Q: The means of 6, 6, 6, 6, 6, 6 is 6? O a. O False b. True

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Q: 1. If x'y-xy² + x² + y² = 0 find y'. 2. If x² - xy + y² = 3 find y' and y".

A: I have solved step by step both the questions in detail usin simple diffrentiation....go through the…

Q: 27. A large tank is partially filled with 100 gallons of fluid in which 10 pounds of salt is…

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Q: DIGITSL FORMAT wing double integrals and draw th xdy

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Q: Help? Watch t

A: We will find the required.

Q: Calculate the angle between the normals to the surfaces x²y + z = 3_ and x log z − y² = −4 at the…

A: Angle between two normal vectors a and b is  θ=cos-1±a·b

Q: (b) (c) Find the direction (a unit vector) in which f increases the fastest at (1, m, 0). Find the…

A: (b) We have to find the direction in which f increases the fastest at (1, π, 0), where…

Q: Consider the following. f(x) = (fog)(x) = X # (a) Find the function (fog)(x). I Find the domain of…

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Q: An integrand involving a radical form 49-16x2 suggests the substitution

A: Given: fx=49-16x2 Let, I=∫49-16x2dx   ....(1)   As we know the trigonometric identity; 1).…

Q: 5πT 4 Convert the angle from radians to degrees: 5πT 4 O

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