If f(x)=x²+4, find f(x +h)-f(x) and simplify. f(x+h)-f(x) =

Q: X Ex (3) where does the function f (2)=-₂ x² + y Answer: where y = ax² Ex (4) where does the…

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Q: Find the derivative of the function f(z), below. It may be to your advantage to simplify first. 28…

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Q: Calculate the Taylor polynomials T₂ and T3 centered at a = 2 for the function f(x) = x² – 3x. (Use…

A: nth Taylor Polynomial of f(x) at x=a :                Tn(x) = ∑i=0n fi(0)i!x-ai =…

Q: Find the exact value of the expression for the given value of 0. Do not use a calculator. COS COS ()…

A: Given that  : theta= 7π/4 and we find the value of cos(theta/2).   We know that : cos(2π-x)= cos(x).…

Q: valuate: fe²z cos(e³)dz = + C Hint: Rewrite e² = e.e²

A: Please refer to the image below

Q: ① y" +16y=ex y-y-6y=2sin 3x ly-y-2y=3x+4 4y" +4y+y=3x² グッ 2

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Let C be the positively oriented square with vertices (0, 0), (3, 0), (3, 3), (0, 3). Use Green's…

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Q: write out the first four terms of the series to show how the series starts.  Then find the sum of…

A: Given ∑n=0∞9n8+n3

Q: 1) Use the graph below to answer the following questions. Y 6 5. 4- 3- 2- MF -8-7-6 5 -3 -2 -1 0 1 2…

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Q: 'ind the general term of the sequence, starting with n = Determine whether the sequence converges,…

A: Topic:- sequence and series

Q: tha Guen that U is a universal set.. Contains all whole numbers less than 10 and A and B are subset…

A: Given data:- u is a universal set that contain all whole number less than 10 A & B are subset of…

Q: PV n=KI Solve for x using the system of equations. 6. 7y = 5x and 35 + 4x = 3y 9 + 3x = 2y and 5yx =…

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Q: Several surveys in the United States and Europe have asked people to rate their happiness on a scale…

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Q: Write the equation of the circle centered at ( – 6, 1) that passes through (16, - 16).

A: Topic:- geometry

Q: Find the slope (if it is defined) of the line determined by the pair of points. (If an answer is…

A: Given query is to find the slope of the link ne.

Q: Recall the integration by parts formuala: Complete the following computation = [f(a)g'(x)dx =…

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Q: Write out the form of the partial fraction decomposition of the function. Do not determine the…

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Q: The derivative of e" is e. What is the derivative of e? There are two functions named 'sinh' and…

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Q: 3. f(x)=; X+5 X-4 4. f(x)= |x-1| Find (a) f(-3) Find (a) f(-1) (b) f(-3) + 4 (b) f(-1) + 2 (c)…

A: Given functions:- 3. fx=x+5x-4 4. fx=x-1

Q: 2. On February 10, 1990, high tide in Boston occurred at midnight. The water level at high tide was…

A: Given 1. High tide at midnight t=0. 2. Water level at high tide = 9.9 feet. 3. Low tide at 12 noon…

Q: 2. A 400-gallon capacity tank initially contains salt solutions consisting 150 gallon of water and…

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Q: The monthly supply and demand for a particular bike is represented in the accompanying graph. The…

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Q: Write the equation of the circle centered at ( – 9,5) that passes through ( – 17, 16).

A: We have to find the equation of circle.

Q: у 1 0 1 T 1 X

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Q: 9. 54 = a¹

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Q: The function x²y=4+Cy is the solution to the Differential Equation 2y'+xy²=0 Note: C is arbitrary…

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Q: Find T centered at x = 4 for all n for the function f(x) = e*. (Use symbolic notation and fractions…

A: Concept: Taylor series: A function f(x) around a point x=a is expanded into a series in a Taylor…

Q: Find domains and ranges of the following relations? Write domains and ranges in interval notation

A: We can find the domain and range from the graph in the following steps.

Q: Define g(2) for the given function so that it is continuous at x = 2. 2x²-8 2x - 4 g(x)= Define g(2)…

A: We can find the correct answer in the below steps.

Q: (1) Sketch these four lines y = 2x + 1, y = -x, and x = 0 and x = 2. Then use integrals to find the…

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Q: 0.75-carat diamond is $5150. If the weight and the price of the diamond is linearly related, and you…

A: Given query is to find the weight of the dimond can be bought in $8900.

Q: 샤 - b ± √b²_uac a=1, 6-2,025 = -2 + 2륵u(i) (5) 2) ㅋㅋ a 2 = -2-1-16 2 2=-1 ti ui 2

A: Given, a=1,b=2,c=4λ=-b±b2-4ac2a

Q: Give an example of a function f(x) that is continuous for all values of x except x=2, where it has a…

A: We have to solve question with concept of removable discontinuity

Q: Given the graph of f(x) shown, answer the following. f(x) 4 (a) What is f-1(−1)? -2 15 10 5 5 10 -15…

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Q: The graph shows the depth it W in reservoir over a one-year period as a function of the number of…

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Q: 3. Determine the Present Value of an annuity which provides payment of $1200 every month for 6…

A: Concept: Future value: Amounts of money or streams of cash flows that are anticipated in the future…

Q: The graph of f(x) is shown below. Estimate and list the value(s) of a where f(x) has a horizontal…

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Q: The unit cost, in dollars, to produce tubs of ice cream is $12 and the fixed cost is $7200. The…

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Q: Determine the magnitude of the vector difference V' = V₂-V₁ and the angle 8x which V' makes with the…

A: We need to find v' and angle.

Q: Let F = 1xi + 5yj and let n be the outward unit normal vector to the positively oriented circle x² +…

A: To find the flux we have to first compute unit normal vectors by using formulan=Gradient…

Q: Let f(x)= -2x^2-x, if x1 Find limx-1- f(x).

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Q: To test an individual's use of a certain mineral, a researcher injects a small amount of a…

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Q: ← Solve the logarithmic equation. In (x+11)+ In (x-4)= 2 Inx X= (Simplify your answer. Type an…

A: we have to find the value of x which satisfy the given equation.

Q: 10. a² 16 = 32 -

A: We can solve question no 10 as below.

Q: Use integration by parts to evaluate the integral. Round your answer to the nearest tenth. In(z) S²…

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Q: When you use credit card to purchase an item, you are actually making a loan. A constant percent…

A: Given data:- Ghel buy a television with the help of a credit card, the cost of television is,…

Q: Let f(x) = 4x² -2 to find the following value. f(t+1) f(t+1) = ...

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Q: Find ||u₁y|| if u = (2,5), v = (8,2). # 5 -X (Express numbers in exact form. Use symbolic notation…

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Q: 32. ³+x²+x+2 + 1)(x² + 2) dx

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Q: a) x' = 2, x = t². t b) x' = -1, = √6-1² X =

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