The area bounded by the line y = x, the x - axis, the ordinates x =1, x = 2 is 3/2 O 5/2 O 1/2 7/2

Q: 8 3 Jo V1+x dx

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Q: Evaluate the line integral below over the path c(t) = (t², sin(#), e-3t+4) over the interval 0 < t <…

A: We have to evaluate the line integral.

Q: y dy dx

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Q: SOLVE THE FOLLOWING PROBLEMS SHOWING EVERY DETAIL

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Q: Find dy/dx by implicit differentiation. 6) x3 + 3x2y + y3 = 8 dy A) dx x2 + 3xy B) dy dx x2 + 3xy x2…

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Q: 10) (-1

A: lets we take example 9 and 10   9 (-2) -3/2 here in 3/2 so we have to also make 2 in whole term…

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the Norman…

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Q: Find dy/dx by Implicit differentlation. x = 7 In(y- 24), (0, 5) Ap dx Find the slope of the graph at…

A: implicit derivative dydx of equation x=7lny2-24

Q: In point P(-6,-8,8), express that vector that extends from P to Q(8, 6, -1) in: a. rectangular…

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Q: Supply the missing integrand and the limits of integration sinx dy dx _dx |1– y²

A: Solution is given below:

Q: lim X→1 X-1 In x)

A: The given limit,      limx→1xx-1-xln x

Q: 2

A: Here we can see as t approaching to 12 , graph is approaching towards 150.

Q: Find the slope of the line tangent to the graph of the function at the given value of x. 12) y = x4…

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Q: x² – 2x – 1 dx (x – 1)2(x² + 1)

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Q: Given the vectors v and u, answer a. through d. below. v= 10i + 2j – 11k u=7i+24j a. Find the dot…

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Q: What is the slope of the tangent line to the curve a +y +¢y=3 at the point (1, 1)? O -1 O 1 cannot…

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Q: (x² + 2)² Find the dy/dx: Given y =

A: Find the dy/dx

Q: Find the particular solution to the differential equation d?y = 4e* + 3x² dx2 dy given y = -3 and dx…

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Q: Determine the exact solution of the following differential equation y = 2 - y at y(0) =1. So the…

A: See this solution in below

Q: 16. If r'(t) is the rate at which a water tank is filled, in liters per minute, what does the…

A: topic- derivative and integral

Q: 17. If you knowf (0) = 625 and f(4) = 16 then: (a) Find a formula for f(x) assuming that it is…

A: In this question, we want to find a linear function f(x) which satisfy the given conditions.

Q: 7) Assume that the temperature of a person during an illness is given by: T(t) = t2 +1 5t + 98.6, in…

A: topic - derivative of a function

Q: 30 +4) de 3e+ )

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Q: 1. Raul has a wall 4 units long and 2 units wide in the Cartesian plane centered on the origin. On…

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Q: Use calculus to sketch the graph of the given function. (c) f(x) = 3 – (x +1)³ |

A: The given function,     fx=3-x+13

Q: g³ + x² + 2x+1 d.x (x² + 1)(x² + 2)

A: Explanation of the answer is as follows

Q: (b) Using logarithmic differentiation, find y if y =r' 5* cosh" 4r.

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Q: 8. Find the first four terms of the binomial series for Vx +1 .

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Q: nd 4 and using L'Hôpttal's Rule.

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Q: Discuss the symmetry of the graph of each polynomial function. 1. f(x)=2x 3. f(x)=-x' 5. f(x)=(x-3)*…

A: Given Polynomial f(x)=2x f(x)=x2+1 f(x)=-x3 f(x)=x4-x

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

A: we have to find the limit

Q: -2 Find f'(x). Given: f (x) = (2x3+3x2-5)2

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Q: Two cars leave an intersection, one 17 minutes after the other. The first car, A, travels north at…

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Q: Find S 2t²e*dt

A: Given query is to find the value of the integral.

Q: 2. Use second order derivative to derive the acceleration, a for an object that falls where its…

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Q: equation of the tangent to the curve y = 1+ Int and x = t+ Int when t = 2

A: Topic:- application of derivatives

Q: +2D+2)y = e csc x

A: Solution: (D2 +2D +2)y = e-xcsc(x)

Q: Evaluate the given integrals. 1. ſ cos v2x dx 2. fx a*dx

A: Please see the answer below.

Q: rV1-y² (x² + y³) dy dx -1 J-V1-y

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 3 and x = 1 x intercepts…

A: We have to find the function

Q: - y = x' 3 from x=-1 to x=2 %3D

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Q: 15. Find the width of the lake pictured below: 900 ft 800 ft 70°

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Q: Which of the following is the expanded form of E (-1)*(k+ 1)2? k=1 A -1+4-9+ 16 – 25 B -4+9- 16 +…

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Q: Change the following rec 15. x = 6y + 8 %3D

A: The given equation is x+6y=8.

Q: Using the method of undetermined coefficients, what is the modif ied form for a particular solution…

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Q: Find the FIFTH DERIVATIVE Given: f (t)

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Q: Part B. Find the equation of the circle of curvature of the curve y = 2x* – x at its minimum point…

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Q: Find the enclosed area by the curve with equation y=x^2-9 and x-axis in the region[-1,2]

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Q: Evaluate the integral: 1. - 1 (1- 5x + x³ – 2x5 5х + x3 — 2x5 dx x2 2. S(y³ – 3,/y+ Vy) dy

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Q: 1. Find the second derivative of the parametric equations x = a cos t and y = b sin t 2. Use second…

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