Question 7 10 -8 -6 -4 -2 8 10 -2- -4 -6 -8 -10 Write an equation for the graph, where y depends on x. 10 8 6 4 2- 2 < * no 6

Q: Given the function f(z) = 82-3, find and simplify the following values: f(a)= f(a+h) = f(a+h)-f(a) h

A: Simplify the expression at different values.

Q: 25 √x²√5 − x²dx = − x(5 - x²)(5 − 2x²)+² Arcsin(x)+c

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Q: g(x) a b Suppose g(x) = f(x) +3 a= 2 and b=7 Compute the area between fand g using 2 and 7 as your…

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Q: Find the average value of the function F(x,y) = x³x ++ the region 05 XS2 and 0≤ y ≤ x². over

A: Solving

Q: Applying the ratio test to the series ∞ 1 k you would compute ak+1 lim = lim k→∞ ak k→∞ Hence the…

A: After applying ratio test we have to tell about convergence of series.

Q: Find equations for (a) the tangent plane and (b) normal line at the point P on the given surface 1)…

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Q: Find the radius of convergence, R, of the series. n Σ -(x + 8)n 30 n=1 R= Find the interval, I, of…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Using trigonometric substitution, what is A 1 6 sec-¹ (37) + √x²-9 2x² +C Ⓒ 3 sec ¹1( 3 ) + √x²³ - 9…

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Q: Find the arc length of the graph of NOTE: Enter the exact answer. L = r(t) = e√²t¡ + e¯√²tj + 2tk,…

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Q: x³+x A. -1 dx = f(+ g(x)) dx, then A+ B. -1 + In(5/2) C. 1 dx, then A + f²g(x) dx is equal to D. -1…

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Q: Fill in each blank so that the resulting statement is true. = The quotient rule for logarithms…

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Q: Question 8 Let f(x) = (z - 6)² Find a domain on which f is one-to-one and non-decreasing. Find the…

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Q: Suppose f(1) = 2² - 4z - 9. Compute the following: A.) f(-3) + f(2)= B.) f(-3)-f(2)= =

A: We can answer both the question as below.

Q: Find the antiderivative F(x) that satisfies the given condition. F'(x) = 4ex - 5x²; F(0) = 10

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Q: Use a sum or difference formula to find the exact value of the following. sin 148° cos 103° - cos…

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Q: 2. Evaluate -π/4 Is -π/4 sinx cosx dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: A clothing business finds there is a linear relationship between the number of shirts, n, it can…

A: Topic:- linear function

Q: 11. Given: √√√-x² + 4x +5 dx. Using trigonometric substitution, what is the integral form in terms…

A: The given integral is: I=∫-x2+4x+5dx That can be written as:…

Q: x³ dx Using integration by parts to solve f √4- and letting U = - then v = f(x) is

A: Topic:- function and integration

Q: Demand for The Secret Loves of John O, a romance novel by Margó Dufón that flopped after two weeks…

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Q: Check if proper fraction. 2. Check if the denominator is reducible or not. 3. Perform cancellation…

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Q: Find the domain of the vector functions, r(t), listed below. using interval notation. 1 a) r(t) =…

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Q: 13. Find the mass of a thin funnel in the shape of a cone z = √x² + y²,1 ≤ z ≤ 4, if its density…

A: answer is in next step

Q: What is the slope of the tangent line at (0,3) to the function f(x) = -sinx+3

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Q: A d B C Ca D b 15x²x³43x - 19 (x + 1)²(x² - 6x +13) Ax + B Slax + lax² + bx+c ff (mx + n)t The…

A: The given integral is  (15x2-x3-43x-19) /[(x+1)2(x2-6x+13)].

Q: Prove the trigonometric identity: 1-cos(20) sin(20) = tan (0) Start by copying down the just…

A: Please see the answer below.

Q: Visually estimate the location of the centroid of the region shown. Then find the exact coordinates…

A: Find your answer below

Q: Question 6 Consider the function in the graph to the right. The function has a maximum of at x = The…

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Q: A certain industry's ad spending between 2005  (t = 1)  and 2011  (t = 7)  is projected to be S(t) =…

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Q: Let A = -[-32-3] and B = (a) Find AB, A-1, and B-1. AB= 5-3 2-1 A-1 B-1 = (b) Show that (AB)-1 =…

A: a)AB=2-2-235-32-1AB=2(5)-2(2)2(-3)+2-2(5)+3(2)-2(-3)-3AB=10-4-6+2-10+66-3AB=[6-4-43]A-1=1AAdj(A)A-1=…

Q: Use the First Derivative Test to find the location of all local extrema for the function given…

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Q: a) Start by copying the graph of the inverse tangent curve onto your paper. Then label each plotted…

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Q: 22-12x x²(3x² - 10x-8) To solve - for this integral? a dx partial fraction is to be employed. What…

A: Partial fraction

Q: Select the answers that best complete the given statement. The power rule for logarithms states that…

A: We can find the correct answer using the properties of log as below.

Q: Two poles are connected by a wire that is also connected to the ground between the poles. The first…

A: let Distance between first pole and acnhor point = x  distance between other pole = 5 - x

Q: i mylliplied to ma constraints. ng range, and x minimize the function of lagi zo constraigher y of…

A: Use Lagrange theorem

Q: Find E (p) for the price demand equation and interpret the results. x = f(p) = 1200(50p) where p-$28…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: 22-12x To solve S; x²(3x²-10x-8) form of the partial fractions for this integral? A(2x) + B C D (A)…

A: ∫22-12xx23x2-10x-8dx

Q: 6. 15 4 3 5 1 23 24 -3 -6-5-43-2 2 3 4 5 6 -6 Write the domain of the function using interval…

A: Given query is to find the domain of the function.

Q: Evaluate Ic (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (9, -7)

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Q: Which of the following is the inverse of f(x)=√x²-4? 2 ƒ˜¹(x)=√√√x² − 4 ƒ-¹(x)=x-2 - Option 1 O…

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Q: x1

A: answer is in next step

Q: 2. To evaluate fr -dx, apply integration by parts twice. For the second application of integration…

A: Solution: ∫ln x2x3dx Integration by Parts ∫uv' =uv-∫u'v

Q: Find the rate of change of the ice circle's area towards the start of spring if the initial radius…

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. L²||ti ti = + t²i||dt

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Q: The phone company A Fee and Fee has a monthly cellular plan where a customer pays a flat monthly fee…

A: answer is in next step

Q: 2. Use the guidelines to sketch the curve. Y In x x²

A: The given function is: y=ln xx2 Note that the domain of the function is (0,∞). First of all, let's…

Q: A B Consider the integral f sin ¹x dx. If we let u = sin-¹x and dv= dx, the integral can be written…

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Q: d 9 a) (t² (t² dx x - − 2t + 1)dt -

A: Given query is to find the derivative.