Given the force field F, find the work required to move an object on the given orientated curve. F = (y,x) on the parabola y = 2x from (0,0) to (2,8)

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Q: The measure of an angle 337.5 degrees is equivalent to ra 15 A 4 15n 8 13п 8 13п D 4. B.

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Q: Evaluate the line integral / -ydx + xdy along the curve C C : y? = 27x from (27, 27) to (0,0). NOTE:…

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Q: 7. Consider the function f graphed below. 2 -4 4 -2

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A: Given query is to find the equation of the tangent.

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A: Moment of inertia with respect to x-axis , Mx= ∫A y2 dA.

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A: Here we have r(t)=t2i+t5j We have to find κ(t)=r'(t)×r''(t)r'(t)3 ..................................…

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

Q: In the year 2000, the population of a small city was 47,000. The population grows at a rate of r(t)…

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Q: Evaluate the indefinite integral: .3 dx x² – 2x + 5

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Q: Find the positive root of the equation x + 2x2 + 10x - 20 in the interval [1,2] using Regula Falsi…

A: Let, the given function be: f(x)=x3+2x2+10x-20 And, the formula of the method is:…

Q: Write the expression as a single Integral 1. f f(x)dx + f(x)dx =, 2. S f(x)dx – , f(x)dx = 3. f…

A: Use the property of the definite integral; 1). ∫abfxdx=-∫bafxdx 2). ∫acfxdx=∫abfxdx+∫bcfxdx   1).…

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Q: Write the expression as a single Integral -3 1. Sf f(x)dx + S, f(x)dx = -3 - 3. S f(x)dx + S, f(x)dx…

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Q: Determine the value(s) of x where the tangent to g(x) = (x + 5)(x2 - 1) is parallel to y = -7x - 8

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A: Let's find.

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Q: v (km/hr) t (hours) -b The figure above gives your velocity during a trip starting from home.…

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A: To find the vector equation of the line of intersection of given planes.

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A: Local Extremum values:              Consider the function f(x,y) .For critical points , fx(x,y)=0…

Q: Prove the given identities. csc 0 – cot 0 (a) sec 0 – 1 = cot 0 (b) cot 0 + tan 0 = csc 0 sec 0 For…

A: a) [csc(theta)-cot(theta)]/[sec(theta)-1]=cot(theta) b) cot(theta)+tan(theta)=csc(theta)sec(theta)…

Q: 4. a) Find the average value of the function over the given interval. f(x) [4, 25] Vx'

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Q: Find the moment of inertia of the area bounded by the curve x^2=8y, the line x=4 and the x-axis on…

A: Use moment of inertia concept

Q: 2x x– 3)² A = 6, B = 2 A = 2, B = 6 A= 2, B=-6 A=-2, B -6 A= -2,B 6 None of the Above Other:

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Q: 1 19 9. -10 -k Consider the matrix it corresponds to an augmented matrixial representation of a…

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Q: Investigate the convergence of the following series. H.' 2n+5n 2) ΣΗ-1 ILJ! 3n

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Q: Find the conservative vector field for the potential function by finding its gradient. g (x, y, 2) =…

A: We need to find conservative vector field.

Q: 5x2+11x+2 dx x(x+1)²

A: integration using partial fraction