Use transformations to graph the function. Determine the domain, range, horizontal asymptote, and y-intercept of the function. f(x)=1+3x-2 Use the graphing tool to graph the function. C Click to enlarge graph (For any answer boxes shown with the grapher, type an exact answer.) 10 40 lo. Q G

Q: For the following problem, find the quadratic function y = f(x) that has the given vertex and whose…

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Q: If f(x) = , find f'(4), using the definition of derivative. f'(4) is the limit as x→ 4 expression…

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Q: Given that f(x)=5x2−3x−4 and g(x)=x+2 ,find f g(x)) .

A: f(x+2) = 5 - 3(x+2) - 4          = 5( + 4x + 4) - 3x - 6 -4         = 5 + 17x + 20  - 10

Q: Evaluate the integral π/3 0 sin³ x cos² x dx

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Q: Find 7'(t), given r(t) = = 7' (t) = = (= 7t² -2t 3 -2t3 +5' 2t2 +6' -2t - 1

A: Given

Q: Discuss the continuity of the function. f(x) = { [[x]] + + x + 1 4 32 y 2 T Y ? 2x 2 3 Of is…

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Q: Find the solution of the initial value problem y = Your answer should be a function of x. 23 y² - 5…

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Q: A lamina with constant density o(x, y) = 4 occupies the region under the curve y = sin(лx/5) from x…

A: As we knowThe given curve  from  to

Q: Find the value of constant c such that the function f is continuous on (-∞, ∞). C = Number f(x) = cx…

A: To find the value of constant  such that the function  is continuous on .

Q: 3. Find the bounded area between the curves. Draw the region. y=√1-4x² [y ≤√1+x² y-4x²-1

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Q: In 1980 the population of alligators in a particular region was estimated to be 1600. In 2007 the…

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Q: Find T, N, and í for the space curve r(t) = (6 cos ³t)i + (6 sin ³t) j for 0 <t< 7. T= (- cost) i +…

A: The given space curve  for

Q: Jo Sta csc4 x cot6 x dx tan ³ x dx I se sec4 x dx

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Q: onsider the following vectors, u = −2i + 5j, v = 4i − 3j, w = i + 2j, The vector a = 2u + v − 2w in…

A: The given vectors are

Q: Find f'(a). f'(a) = f(x) = √√/2 - 6x

A: The function is The aim is to find the value of f′(a)

Q: Let f(x) x + 1 x-1 5 Determine the equation of the tangent line to fat 9, 5) form. . Report the…

A: The function is the aim is to find the slope of the tangent line at the point

Q: Find the unique solution of the second-order initial value problem. y'' + 4y' + 3y = 0, y(0) = 0,…

A: given differential equation

Q: cos 2 arctan X - 1 √x+1 /x+1/

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Q: Given that you have a fixed 40-meter-long meters long and fencing, the rectangular pen should be…

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Q: Analyze the function below. Which of the following is/are true? 8f()81818 x+2 as x→-1+, f (x) →∞ as…

A: Function is not defined where denominator is equal to 0.

Q: 12- (-11)= Express your answer as an integer.

A: Let,  D=12-(-11)

Q: Evaluate the following limits. x lim x 5 x 5 lim x+5+x-5 I x lim x 5 x 5 P HOT

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Q: The Ninth Gate You arrive at the final gate, which leads into a building-like structure. You hope…

A: The given functions are

Q: 6. (a) A sequence {anneN is said to be bounded if there exists M > 0 such that an M for any n E N…

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Q: Sketch the graphs of the inverse trigonometric functions. Label important points and include…

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Q: Find 7¹(t), given r(t) = = r' (t) = (-5 ln(5t), 5√√3t, -5e-5t).

A: Given vector is as follows

Q: Parameterize the portion of the surface f(x, y) = xy in the first octant, bounded by the planes x =…

A: We have to parametrize the portion of the given surface.

Q: Which of the following expressions are identities and which are equations? (a) cos 2x = 2 sin a cos…

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Q: 5. A ball is thrown into the air and the vertical position is given by x (t) = -4.9t² + 25t + 5. Use…

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Q: Values of x and g(x) are given in the table below. 3.5 4 4.5 5 5.5 6 6.5 7 g(x) 4.2 5.2 5.8 6.2 6.8…

A: g'(x)=

Q: is At a certain time t≥ 0, the population of one type of fish on a lake 490,000t 700 + 2t 810, 000…

A: Given population of one type of fish is and population of other type of fish is

Q: Find the slope of the tangent line to the curve 4x² - xy - 3y³ = 200 at the point (1,-4).

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Q: The graph of a quartic polynomial f(x) with integer zeros is shown to the right. Write the complete…

A: Here the graph of the quartic function is,We have to find the quartic function plotted in the graph.

Q: 7. a) Givenx = [4,2, -1] and y = [2, 1, 2], find the vector projection of y onto x.

A: we are given two vectors and we need to find out the projection of vector y onto vector x."Note that…

Q: sider the following coordinates and vectors, A(-2, 1, 0), B(2, -2,0), u = 3i + 2k, v = 4i + 7j+5k,…

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Q: Consider the following graph of the function f(x). Now, evaluate each of the following limits. lim…

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Q: Analyze the function below. Which of the following is/are true? 8 f (d) 818 88 x+5 as x→ 1+, f (x)…

A: The function is

Q: Consider the system Verify by hand that the vectors are solutions to this system. Then, find the…

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Q: Consider the integral ²₂ f(x) dx. In order to ease your calculations, here is the table of some…

A: The table of the values of the function is

Q: If f(x) = (3x + 7)−², find f'(x). Write your answer using negative exponents. Find f' (3). Write…

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Q: Substance A decomposes at a rate proportional to the amount of A present. It is found that 10 lb of…

A: Substance A decomposes at a rate proportional to the amount of A present.  It is found that 10 lb of…

Q: The graph of a polynomial f(x) with integer zeros is shown in the figure to the right. Write its…

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Q: 37. f(x) = 1 x ; a = 1 4

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Q: Linda invests $25,000 for one year. Part is invested at 5%, another part at 6%, and the rest at 8%.…

A: To solve the given problem, first we form 3 equations in x,y and z,then solve these equations by…

Q: Let a and b be unknown constants, and de a cos bsin f(x) = a I. Determine the value of a and b that…

A: at x = -,   f(x) = acos(-)  ------- (1)  and also f(x) = bsin(-)  ------(2)from equation (1) &amp;…

Q: What is the angle between vectors v= (√39, 1, 3) and w = (0, 3, 4)? T/3 2π/3 Ⓒarccos(3/7) 39 3…

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Q: Let r(t) = (−5t5 + 1, −4e¯5t, sin(−2t)). 1 f F (1) Find [F(t r(t)dt (don't include the +C) r(t)dt =…

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Q: Use the graphs below to estimate f (g (2)). 12 8 4 f(g (2)) = i 4 -f(x)- 8 12 + x 12 8 4 g(x) 8 12

A: We need to find composition function vlaue

Q: Find the value of k that makes the following differential equation exact. kr cos(90) dr - 4r²…

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Q: Use both the washer method and the shell method to find the volume of the solid that is generated…

A: The region bounded by curves