A. Set up an integral for the area of the shaded region.  B. Evaluate the integral to find the area

Q: Determine an equation for the function shown. a) b) c) d) 0 y-tanx y=cscx-1 y=secx-1 t y = secx 4

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Q: Find the slope and the equation of the tangent line to the given curve at the point corresponding to…

A: NOTE: Refresh your page if you can't see any equations. . the given curve is  . substitute the…

Q: 5 for 5: Calculus AB Day 6 Solutions X f(x) f'(x) AB3: Evaluate AB2: Let G(x) = ef(x). Find G'(6). •…

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Q: Find the average value of the function f(x)=x2−21 on [0,6].

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Q: Evaluate the integral = [[₁, F I= for the vector field as shown in F.dS F = zi+2yj-zk when S is the…

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Q: Find the compound amount and the amount of interest earned by the following deposit. $7,000 at 7.78%…

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Q: itz Benjamin buys a car costing $11800. He agrees to ake payments at the end of each monthly period…

A: Principal, P=$11800 Interest rate, i=4.8% Compounding frequency, m=12 Time, t=6 years.

Q: Find the derivative of (x+1)³ X A. B. C. D. (X+1)² X (x+1)³ X 4(x + 1)² 2(x+1)³ X X 2(x+1)³(x+1)³ X…

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Q: Determine if converges or diverges: 1) Σ(net/n – n)" - n=1 2 Σ. n=1 3) Σ n=1 της cos (ηπ) In n

A: (1).    The given series is:      ∑n=1∞ ne1n-nn

Q: Find the volume of the solid bounded by z-8-8(x+y) and 2- (²

A: z = 8 - 8(x2 + y2) z = (x2 + y2)2- 1 The intersection of these two surfaces is, 8 - 8(x2 + y2) = (x2…

Q: Estimate the slope of the tangent to the following function at x = 4. = 2log (x − 3) +3 -

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Q: 7. - B-[73] Solve for X in the matrix equation: B-4X = A 6

A: Given:  A=1-6510B=-237-1 to solve for X in the matrix equation: B-4X=A

Q: Use a transformation of the graph of y=x* to graph the function. h(x)=4-(x-2)4

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Q: Moment of inertia about z is calculated as * ]]] (x² + y²) p(x, y, z)dV where p is the density…

A: SOLUTION:-   Given,    Moment of inertia bout z is calculated as,   I=∫∫∫(x2+y2)ρ(x, y, z)dVwhere ρ…

Q: What factors determine the amount of interest earned on a fixed principal (such as a lump-sum…

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Q: Find the slope of the line tangent to curve y = x³ - 2x +1 at x = 1 A. B. C. D. 1 1/2 1/3 1/4 Give…

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Q: Find the future value of this loan. $10,757 at 10.2% for 14 months The future value of the loan is…

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Q: Find the payment made by the ordinary annuity with the given present value. $93,030; monthly…

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Q: Suppose we have a function, h(x) = Find all vertical and horizontal asymptotes of h. x³ +8x² +7x 2x²…

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Q: what is the particular solution?

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Q: 1 Find the orthogonal Projection U<1, 1, 23 onto № 2-2, 3, 1 h And its orthogonal Componet to V

A: To find projection of vector u orthogonal vector to v.

Q: 3 .y = sin³xcosx

A: y = sin3xcosx

Q: A gift of $4000 to a city grew to $8,000,000 in 200 years. At what interest rate compounded annually…

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Q: Find the present value of an ordinary annuity which has payments of $1600 per year for 10 years at…

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Q: For each of the following infinite series, determine whether the series con- verges or diverges. You…

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Q: 50. A hospital is located 3 miles west and 4 miles north of the center of town. Suppose that a…

A: A hospital is located 3 miles west and 4 miles north of the center of town. Considering the center…

Q: Find the parametric equations of the line passing through (1,0,-2) and parallel to the plane…

A: NOTE: Refresh your page if you can't see any equations. . the given plane is  the normal vector to…

Q: A hospital is located 3 miles west and 4 miles north of the center of town. Suppose that a Medi-Vac…

A: A hospital is located 3 miles west and 4 mi north of the center of town  The coordinates are (-3,4…

Q: The Normal component of acceleration of a moving object in space at time t is given by a = t and the…

A: Normal component aN=tk(v(t))2=t 19t3(v(t))2=t(v(t))2=9t4(v(t))=3t2

Q: The graph of f(x,y)=¹+¹+63xy has xy One local maximum point and one local minimum point. O One local…

A: Write the given data and find the first derivative÷

Q: = [ (2³) 26¹ +4 dx Evaluate = +C

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Q: Find the interval and radius of convergence for the power series ∞ n=0 xn 3n+1

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Q: Find an equation in cylindrical coordinates for the rectangular equation r + y = 52 Entry Tip #1: To…

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Q: 3. For each power series, find the interval of convergence and the sum of the series as a function…

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Q: Find (a) the general solution and (b) the particular solution for the given initial condition. 8 y'…

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Q: Given f (x) = x/(x2 - 4), find and simplify f (3x).

A: given, f(x)=x(x2-4)

Q: 8. At age 35, you start saving for retirement. If your investment plan pays an APR of 6% and you…

A: NOTE: Refresh your page if you can't see any equations. . here we have FV=1 million= 1000000…

Q: Find the volume of the solid obtained by rotating the region enclosed by the curves y = 17- x, y =…

A: y=17-x         .....1y=7x+9         .......2x=-1  Find the volume of the solid obtained by rotating…

Q: A piece of cardboard measuring 10 inches by 14 inches is formed into an open-top box by cutting…

A: A piece of cardboard measuring 10 inches by 14 inches is formed into an open-top box by cutting…

Q: Consider the following graph of a function f(x) over the interval 0 ≤ x ≤ 8. Order the following…

A: The integral ∫abf(x)dx represents the area between the curve f(x) and x-axis from x=a to x=b The…

Q: use product rule, find derivative of x.y³ 1.y³+x. 3y²y' 1.y³ + x. 3y² x. 3y²y' noe of the above

A: Let z=xy3

Q: 1. f(0) = 7 * sec (0) - 2 7 amplitiude = midline (vertical shift or k) = -2 phase shift (h) = _0…

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Q: Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save…

A: We have to find the matrices P&amp;D.

Q: Let f(x) = 6 + 4x². (a) Estimate the area under the graph of f, the x-axis, and the lines x = -1 and…

A: Estimate the area under the graph of f(x)=6+4x2 from x=-1 to x=2

Q: Compute the following limit: X+4 X-4 Limit: X4x A. 1 B. 0 C. 2 D. Infinite

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

Q: In 2013, a certain company's annual revenue was 71 billion dollars and growing at the rate of 3.7x +…

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Q: At the average annual inflation rate of 1.7%, about how long would it take for the general level of…

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Q: Find a power series representation for f(x) given below. State the radius and interval of…

A: We know that the power series formula 1/(1-x)=sum_n=0^infinity x^n

Q: Differentiate y e' cos x². A. -esin x B. e (cosx-2x C. e cosx-2x sin x² sin x) D. -2xe* sin x BUD

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Q: f(x) = arctan 3 (2³) 4

A: Power series derivative