2. (2х- Зу +1)dx - (3x+2y-4)dy 3D 0

Q: Ay Use the given graph of y = f(x) to find the intervals on which f'(x) > 0, the intervals on which ...

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Q: Evaluate the double integral / F(r, ®) dA. "* (3 cos(8) r dr de Sketch the region R. 7/2 A/2 2 1 2 2...

A: To evaluate the given double integral: ∫0π∫03 cos θr dr dθ

Q: sec3x The integral of the given function dx is Atan3x cot 3x cot3x а. +C 9 b. – cot 3x, cot3x + C 3 ...

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Q: . Suppose that f(r) is a function given by for 0<r<7, f(z) = for -n <I<0.

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Q: Find f such that f'(x)= 7x +7x-2 and f(0)= 8.

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Q: Find the arc length of the parametric curve. x = cos' t, y = sin° t, z = 2; 0 < t < T/2

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Q: Consider the solid obtained by rotating the region bounded by the given curves about tthe specified ...

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Q: Sketch the region enclosed by the given curves. y = V5x, y = y 4 2 -30 -20 -10 10 20 30 -4 -30 -20 -...

A: The given curves are y=fx=5x3y=g(x)=15x

Q: Find the dimensions of the rectangle of maximum area that can be inscribed in a right triangle with ...

A: A rectangle is inscribed in a right triangle. The base of the triangle is a=12 inches and height of ...

Q: thea calcudeator to lach to the near1sk thousandth tHog124 20) 10gs 10.818

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Q: Find the exact length of the curve. y = = 0 < x < 6

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Q: Use the graph to solve x* + x³ – 7x² – x + 6 > 0 y 12 -4 -2 0 4 x -6 12 y=x + x* -|7x² – x + 6 O x2-...

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Q: 10. y = 11. h(x) cos x+2 sin 2 tan x 12. y= Csex 13. y= cos- 14. h(x) tanx sec x-1 cot 2 15. f(x) = ...

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Q: A particle travels along the x-axis such that its position is given by æ(t) = t2.2 sin (2t). What is...

A: x(t)=t2.2sin(2t)Velocity of the particle is given by dxdtv=dxdt where dxdt=ddt(t2.2sin(2t))         ...

Q: You want to choose a committee of 5 people from 7 men and 8 women. In how many ways can this be done...

A: In this question, we need to find the total number of ways in which a committee of 5 people is selec...

Q: 4. Determine the phase shift and the vertical displacement with respect to y = sin x for each functi...

A: Given problem:-

Q: Write the equations in spherical coordinates 3x+4y+7z=1

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Q: Find the average rate of change of f(x) = x² – 1 on the interval[-1,0.4]. Give your answer in decima...

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Q: Evaluate the limit a x approaches positive infinity

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Q: Sondere ebch exprO sSn to G sngle logarithm 3. 2. 3. + log qfu + lay a to 3.

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Q: d 4) (1+ x)* = (Logarithmic differentiation) %3D

A: Given, d/dx (x+1)x We can find it by substitution method

Q: 4. Find Maclaurin series for f(x) = xex . %3D

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded b...

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Q: (3k + 8)! Consider the series> ar k3k k-1 k-1 a) What is ak+1? ak+1 = aktl ? b) What is ak ak-1/ak =...

A: The given series,     ∑k=1∞ak=∑k=1∞3k+8!k3k

Q: Find the area enclosed by the curves y=sin(x), y=cos⁡(x), and the two vertical lines x=0 and x=π/2

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Q: In a sample of 250 adults, 175 had children. Construct a 90% confidence interval for the true popula...

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Q: The height (in feet) of a rocket launched from the ground is given by the function ft) = -162 + 160t...

A: The given function is  f(t)=-16t2+160t. 

Q: Solve for the indefinite integral of the given. Upload your solution before moving on to the next qu...

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Q: [()-](の) 4 3 |

A: We simplify the expression to understand why is the result negative.

Q: 3 The name of a straight line that just touches a curve at point A but does not cross the curve at p...

A: As per guidelines we can answer only one question at a time so if you need more answers kindly repos...

Q: 1 2 3x2

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Q: What is each of the following: a) the order of A; b) the order of B; c) the element in the second ro...

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Q: sin 2ax Given ſ cos? (ax)dx : Calculate the following definite integral f cos2 (0.5x)dx. 2 4а

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Q: sin x 5. Use series to evaluate dx .

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Q: Consider the function f(x)f(x) whose second derivative is f′′(x)=9x+10sin(x). If f(0)=3f(0)=3 and f′...

A:   We have to find f(x) and find f(3) using given intial condition

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

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Q: Given the polor coordinate U, write it as a rectonguicr coordinate, anc write three other coordinate...

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Q: Determine if the relation defines y as a ône-to

A: The given graph is: To determine if it is one-to-one.

Q: Find the area of the surface generated by revolving the curve y=- 24 .Osxs/6. about the x-axis.

A: area = ∫06 ydx area = ∫06  x3dx/24 area = [x4/96]60 area = 6*6/96 - 0 area = 3/8

Q: 1+ 2+...+n 2. Let n be a positive integer. Evaluate lim if possible. If not possible, explain n2 why...

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Q: A one-to-one function is given. Write an equation for the inverse function. x-8 v(x) = x+9 = (x) ,_^

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Q: (* + 2)(r – 8) f(x)=- 6)(s + 4) x =-6, x= 4 h(x)3=

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

Q: Sketch the region bounded by the given curves, then find the centroid of its area. 1. y = 12 – 3x2 ,...

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Q: The shaded region shown below is bounded by the functions f (x) = -2x² + 0.75x + 4 and g(x) = 1.5x +...

A: The shaded region shown below is bounded by the functions fx=-2x2+0.75x+4, and gx=1.5x+2 and the lin...

Q: Suppose f(u, v) = ue", where u = rs and v = r+ s. Which of the following is equivalent to –? dr af d...

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Q: Calculate the derivative using implicit differentiation: dw x'w + wt + wz² + 4yz = C dz ||

A: Given problem:-

Q: Consider the following function and express the relationship between a small change in x and the cor...

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Q: 25 The fundlion fox) is represented in the following table. Give the best estimate for f(x)dx 10 10 ...

A: ∫1025 f(x)dx here values are different for different interval ∫1025 63+82+115+120dx ∫1025 380dx [380...

Q: dx 2xy-3y2 _14. tan*y – 2 tan y +1 = x N. dy (y-x) _15. secy + sec x = tan y dx 2x dy y sin x-cos y ...

A: 14) tan2y-2tany+1=x(tany-1)2=x Dfferentiate w.r.t.xddx(tany-1)2=ddx(x)2(tany-1)ddx(tany-1)=12(tany-1...

Q: (m2 + 1) yy = 1 O = 2V +1+C O = 2tan- (z) +C O = tan (a) +C O y = Va +1+ C

A: Given query is to find the solution of the differential equation.