E(-1)n+1_2 Vn n=1

Q: Find the average value of the function f(x,y)=eˆ(y/x) over the region bounded by y=x, the x-axis and…

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Q: Q1: Find partial derivatives of the function with respect with each variable 1) f(x, y)= 2x² – 3y –…

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Q: Determine the derivative of f(x) = 2x2 - x3 using the first principles definition of the derivative.…

A: Given f(x)=2x2-x3we know that using first principles f'(x)=limh→0f(x+h)-f(x)hThen…

Q: Find the directional derivative of the function

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Q: 24) Find the maximum rate of change of at the given point and the direction in which it occurs.

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Q: is an angle in standard position, tan(e) 0, then the terminal side of lies in which quadrant? A IV…

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. $ 5…

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Q: у" — у' — бу %3D2, у (0) %3D 0, y'(0) = 0

A: Given can be written as (D2-D-6)y=2 The general solution will be y=CF+PI Complementary Factor(CF):…

Q: dy If y = tan? x, find da

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Q: nd the S (1–) dx A. x– 2 In|x| – +c B. 3x – 2 In|x| –-÷+c C. 2x – In|x| –+c D. x– In|x| - +c

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

Q: 2r-4x2-x-3 dx x- 2r 3 In Ix+ 1 +3 ln|x-3| + C +1-3 ln|x-31+ C Option 1 Option 2 2 In |x + 1| - 3…

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Q: d²s = 60/E – 18 subject to the conditions that ds = 5 and s= 11 when t= 1. Find the velocity v = dt…

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Q: 2. Compute Ja F · ds for F c(t) = (t , In(1+ t²), e*) for 0 <t < 1 VV, where V(r, y, z) = 4x² In(1+…

A: Find your answer below

Q: Determine the equation of the tangent to the graph of the equation xy – 2x'y-3ry + 5y – 4 = 0 at the…

A: To find the equation of tangent to the given equation at (1,2).

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: cos x e) f(x)= e* х

A: Topic = Derivative

Q: H.W (5) Solve the following differential equations of (x'+y')dx+(2xy cos y)dy phee

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Q: Find the indefinite integral and check the result by differentiating. Determine an appropriate…

A: Solve the given intregal

Q: 22. u = Vr² + s², r = y + x cos t, s=x + y sin t; ди ди ди əx’dy when x = 1, y = 2, t = 0 dt

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Q: Find the divergence of the vector field F. F(x, y) = 5x2i + 5y²j

A: The given vector field is: F(x,y)=5x2i+5y2j Let, F(x,y)=F1i+F2j⇒F1=5x2, F2=5y2

Q: Evaluate the line integral F. dr, vhere F(z, y) = -yi-rj and C is the curve y = v4-a from (2,0) to…

A: We have to find the line integral

Q: Solve the inequality involving absolute value. |x-3|/4<2

A: Given :        x-34&lt;2

Q: (6x- y+3)dx+(3y'-x-2)dy 6) Integration Factor Method rahee

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Q: rocket weighs 2500 tons at liftoff and burns fuel at a rate of 12 tons/minute. Express the rockets…

A: Given query is to find the expression for rocket weight and time.

Q: Find curl (8z i + 9xj+4y k). curl(8z i + 9x j + 4y k) = ( i )i + ( i j+( i )k

A: topic- curl of a vector

Q: test conerg ence and divergence h!

A: We can solve this as follows:

Q: Find these derivatives

A: Our Aim is to find the derivative of the following functions given below:-(i) y=e2x cos (x)(ii) y=ln…

Q: ||r(t) × r"(t)|| Use the formula k(t) : to find «(t). %3D r(t) = e"i+e-tj K(t):

A: K(t)=?

Q: 3. Use the Fundamental Theorem of Calculus to evaluate the definite integral 16 x Vx dx 4

A: Given: ∫416xxdx Simplifing the given integral∫416xxdx=∫416x(x12)dx                 =∫416x1+12dx…

Q: _1. (2x – 3) dx А. —2 - _2. L (x³ + 2x) dx В. 0 _3. (x² – 2) dx С. 3 1 -

A: 1) ∫02(2x-3)dx2) ∫-11(x3+2x)dx3) ∫03(x2-2)dx

Q: dx 00 2 X х +4

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Q: Use shells to find the volume of the solid obtained by rotating the region bounded by y = H= 1, and…

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Q: Evaluate the double integral. 3r(1+ y²)¯ dA; R is the region in the first quadrant enclosed by y =…

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Q: Determine the value of t that maximizes the area above the x-axis and below the graph of the…

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Q: Find div F and curl F if F(x, y, z) = xz°i+ 4yHx²j +42?yk. 5: 112. div F= curl F=

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Q: 1009 1010 R= E (2k) =2+4 +6+ ... +2018 and S= 2 (2k- 1) = 1+3+5+...+ 2019. What is the value of R-…

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Q: Approximate the point of intersection of the graphs of f and g. Then solve the equation f(x)=g(x)…

A: given function : f(x)=log3x and g(x)=2from figure it is clear that intersection of both curve is…

Q: Find div F and curl F if F(x, y, z) = 7y°z*i – 11xz'j – 6xy°k. 5.7 div F= curl F=

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Q: Find the J(2x + 1)³ dx

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Q: A model for the length of daylight (in hours) in Philadelphia on the tth day of a particular year is…

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Q: Find the derivative of this function

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Q: 29 The measure of an angle 12 radians is equivalent to degrees. (A 555 B) 465 C 435 D 525

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Q: S%3200000 e° find the growth rate of S.

A: Given query is to find the growth rate.

Q: +2x-15 Inkx + 51 -inlx- 31 +c In]x+51-Inx- 31+C Option 1 Option 2 |(x + 5)°| +C (*+5) +C *-3 Option…

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Q: n What is the closed-form expression for the series 2 (k-2)², k=1 37 A + 6 n³ -n²+ 13 B 6 6

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Q: Find the limit. NOTE: Enter the answer using round brackets. ) - () t2 + 8 1 lim tto \ 5t2 + 6'8t

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Q: ах 2xy 2.xy +3y x +2xy dy dx

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Q: 2" 5n+1 n=1

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Q: im Y cosx t Zx メナロ0 7x¢ し

A: Given query is to find the limit of the expression.

Q: Diego knows that 82 64 and that 4° = 64. What other statements are true? O V64 = 8 O V64 = 4 O…

A: We can find the true  statements as below.