X 10. [7x+3x+1 dx 2x ux 11. Jhxdx 12. f(x²-4)³ dx 2x

Q: Evaluate the integral: 224-25 dyda 2₂ 2 [1-4] 02[1-4] +0 0.[4] 4π [+¹]

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Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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Q: f(x) ax² + B where x denotes the length of one side. Find a + ß. Your answer

A: We have given  fx=αx2+βx Put x=1 in fx f1=α12+β1 f1=α+β So, α+β=f1

Q: -4 -3 -2 -1 -5-4 5 4 3- 2+ 1 -Y -2+ -3+ -4+ -5+ 2 3 4 5 X

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Q: Given the curve shown below, determine if the slope of the curve at x = negative, or zero. 4 3 2 O…

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Q: Given the function graphed below, evaluate the definite integrals. 4+ 3 2 1 -1 7 -1 -2 -3 -4 1 S.³…

A: Need to find out the definite integrals.

Q: Question 5 (i) Use the diagram below to find sin(0), cos(0) and tan(0). (ii) If sin (500) -1…

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Q: Exercise. Find the curvature and the radius of curvature at any point. 2. R(t) = e²¹i + (t²-1)j 90#-…

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Q: If √x + √y = 12 and y(1) = 121, find y'(1) by implicit differentiation.

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Q: Consider the following function. f(x) = x² - 4x + 5 (a) Find the critical numbers of f. (Enter your…

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Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

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Q: State the domain: -8 -6 -4 -2 4- 2- 0 --2- 2 4 6 8

A: Solving the problem by finding the value of the domain of the given graph.

Q: -4 -3 -2 -1 у 1 -1 -2 1 2 3 X

A: We can find the answer in the following steps.

Q: The infinite series Στη O series liner O p-series O geometric series O harmonic series n is a

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Q: A manufacturer can produce 3510 cell phones when x dollars is spent on labor and y dollars is spent…

A: SOLUTION-

Q: Determine the area of the shaded region bounded by y=-x² + 6x and y=x² - 2x The area of the region…

A: NOTE: Refresh your page if you can't see any equations. . here we have first, we need to find the…

Q: (4) (b) 10tsin(5t²- n/4)dt (4) (c) S 12(x³ + 2)ex¹+8x dx

A: We have to evaluate the integrals.

Q: 13. What is the maximum value of the parabola ? 5 0 5 a) y = 3 b) x = 4.9 -Cr- 5 c) y = -1 d) There…

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Q: = Express the following equation in standard form: y · 2(x + 2)² − 6

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Q: Find F as a function of x and evaluate it at x = 0, x = 7/3, and x = 7T/2. F(x) = F(x) = F(0) = (7)…

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Q: 1. Evaluate. ³-2x² +12 a) lim x--2 x² +1 b) lim -8x+7 x-7

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Q: Calculate (t) when k(t) = r(t) = (6t¯¹, 1, 6t)

A: r(t)=6t-1, 1, 6t Formula for  curvature κ(t)=r'(t)×r''(t)r'(t)3

Q: -10 -5 I(X) 10 5 10 5 10 X

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Q: Evaluate the definite integral by the limit definition. [²₁x² + (x² + 5) dx Submit Answer

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Q: The normal vector of x+2y-1-0 (0, 2) (2, -1) (1, 2) O (1, -1)

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Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of…

A: Here is the solution:

Q: Find the difference quotient f(x+h)-f(x) for f(x) = x² - 4x. h

A: Here is the solution:

Q: (1+x²)y' + 2xy = (1+x²)y

A: Given problem:- 1+x2y'+2xy=11+x2y

Q: lve y' = 14xy – 2x, y(0) = 11 x) =

A: Topic:- application of integration

Q: A particle is moving along the curve having the vector equation R(t) = ti+t²j+ tk. Find the vectors…

A: The given position vector is  Rt=t i + t2 j + t k.   The velocity vector is given by Vt=R't=i+2t j…

Q: If the vector equation of a line is 7=(3, -5)+t(-2, 3), t€ R. the parametric equations are Ox=3-2t,…

A: Topic:- application of geometry

Q: 3. Use the graph off to find the followings. a) b) c) 5 4 3 2 1 f(1) f(-2) 32 --14 -2 -3 234 5.X…

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Q: QUESTION 7 Evaluate the double integral. FS= 3xy 2 RX²+1 OA. 8 3 OB. 16ln (2) OC. 8ln (2) OD. 16 3…

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Q: etermine the equation of the tangent line to the graph of f(x) = O y = 6 + 6x y=-6x - 6 Oy=6-6x x

A: Topic:- application of derivatives and integration

Q: Test Σ n 1 2" n! for convergence

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Q: 2y dx + x(x² In y − 1) dy = 0.

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Q: 9. What is the maximum value of the parabola shown ? -4- 2- 0 --2- 2 a) y = 5 b) x = 3 c) y = 3 d)…

A: Graph of the parabola is given, we have to find its minimum value.

Q: Given the ODE: dy dt - --(t-1) cos(y). 4(0)-3 Estimate y(1) using midpoint method, h=0.5. Present…

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Q: A 100-gal tank contains X (X is 17 ) gal of fresh water with 0 amount of salt. At t=0 a brine…

A: Amount of salt changes per time =salt amount ×rate of incoming - salt amount× rate of outgoing

Q: solve xy' - y = xkyn, 1) y¹ – O a. (k+n O b. (k+n O c. (k+n O d. (k+n - - n 1) x¹ - n - 1) x¹ − n 1)…

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Q: Determine the coordinates of the focus and the equation of the directrix then choose the graph of…

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Q: [1/3 Points] f(x) = DETAILS PREVIOUS ANSWERS Find an expression for the function whose graph is the…

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Q: Determine the type of function shown in the graph below. a) Polynomial function Ob) Rational…

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Q: 6. Find the functions whose equations in factored form have a factor that is cubed. These functions…

A: see below the answer and explanation

Q: Evaluate the limit, using L'Hôpital's Rule if necessary. (If you need to use co or-co, enter…

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Q: A right triangle has legs of 30 inches and 40 inches whose sides are changing. The short leg is…

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Q: A street light is at the top of a 15 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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Q: The planets move around the sun in elliptical orbits with the sun at one focus. The point in the…

A: Disclaimer:  “Since you have asked multiple question, we will solve the first question for you. If…

Q: .find g(-4),g(-2),g(0),g(2) and g(4). 2. find the domain and range of g. (Use interval notation)…

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Q: For the linear function y = f(x) df dx a. Find at x = 8. ƒ'(8) = b. Find a formula for x = f-1(y).…

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