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A: As per bartleby guidelines we only give first question answers. 

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A: Prove the identity cosh(x)+sinh(x)=ex

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Q: How-3 Find Zxx if Z=fcusvd uz x?y,V=2xy Exfress the answer interms of Xy, Zu, Zv

A: Implicit Differentiation: If z=f(u,v) , u=g(x,y) and v=h(x,y) then, ∂z∂x=∂z∂u∂u∂x+∂z∂v∂v∂xand ∂z∂y=∂...

Q: Evaluate f(cos* x – sin“ x)dx

A: To evaluate the given integral.

Q: 3 The point P(7, -3) lies on the curve y = 6 - x (a) If Q is the point x, 6 - find the slope of the ...

A: Given that the point P(7,-3) lies on the curve y=3/(6-x).

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Q: Binomial Distribution: (n = 6, p .2) Find (Use these data in Prob. 1-3) 1) Pr (r< 2) 2) Pr (r 2 1) 3...

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Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x2 + ...

A:   Intersection points:  x2 + y2 - 4ax = 0                                                          ...

Q: 2. Scientists can determine the age of ancient objects by a method called Radiocarbon dating. The bo...

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Q: 1 dx 2 х3 — х3

A: Given: I=∫1x23-x13dx   ...1   We know that; ∫1ax+bdx=1alnax+b+C

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Q: Find f132 if f(y,z,x) =3x2+6xz+yx3

A: Question- Find f132 if f(y,z,x) =3x2+6xz+yx3

Q: (:)? /3 9. Which of the following is equal to (b) (–1)"-12·5., 3"n! 3.5-7..... (2n + 1) (Зп — 4) ......

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Q: ху? dy dx x2

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Q: Consider the series ke-h? k=1 a) Enter an integral whose convergence or divergence is equivalent to ...

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Q: Elimination of the arbitrary constants. 1. (x-c)^2+ y^2 = c^2

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Q: 2.) Determine the set of points at which the function is continuous. а. F(x,у) — 1+x²+y² 1-x2-у? ху ...

A: Here, to find the set of points at which the function is continous.

Q: 1 The time to failure, t, in hours, of a machine is often exponentially distributed with a probabili...

A: The probability density function is: f(t)=ke-kt, 0≤t&lt;∞ where k=1a and a is the average amount of ...

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Q: Va –2 -dx aㅎ (V+1)

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Q: Evaluate S(cos4 x – sin* x)dx

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Q: Question Determine the limit of the sequence defined below. An If the limit does not exist, enter Ø....

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Q: find an equation for the plane that is tangent to z=4x^2+y^2 at the point (1,1,5)

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 4(x² – ...

A: Given: y2=4x2-a2 Portion of the curve in the 1st quadrant is revolved about x=0 (y-axis) from y=0 to...

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Q: 4 + 2 -3 -2 -1 3 х X. Figure Q1(d) Find the positive root of f(x)=x²-sin x as shown in Figure Q1(d) ...

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Q: 9— е2х dx a.

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Q: Skyscrapers Corporation is engaged in the manufacturing of standard wide flange section of steel who...

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Q: Find the arc length function for the curve y = sin+(x) + V1- x² with starting point (0, 1). s(x) =

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Q: Find S z? sin z dz

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Q: Identify the explicit formula for the nth term of the sequence written below. Note that the first te...

A: To find the sequence

Q: Find the critical points and the intervals on which the function S(x) = x* – 7x2, (x > 0) is increas...

A: f(x)=x4-7x3/2 Differentiating with respect to x f'(x)=ddx(x4-7x3/2)=ddx(x4)-7ddx(x3/2)=4x4-1-7*32x3/...

Q: Question 8 Given the following general terms an, determine whether the correspondi 8, sequence (an)n...

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Q: se the Root Test to determine if the series (-1)" 2/n en² (2n2 – 1)" CONVERGES - n=1 converges or di...

A: As you have asked for the solutions of question number 3 only. So I am solving only that. Hope it he...

Q: 9-4x²dx

A: Evaluate indefinite integral.

Q: Find the area bounded by y = sin²(x) and y = sin³(x) from 0 < x<. %3D

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Q: 11. Obtain the Mx and My of the area generated y = 2x +1, x + y =7 and x= 8

A: Intersection points:x+y=7, y=2x+1y=7-x, y=2x+17-x=2x+13x=6x=2 → y=5Intersection point (2, 5)Line x=8...

Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y² = 4(x² – ...

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Q: -3 (x + y)dx dy

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Q: Find the derivative of the follo solutions. 1. What is (5x +3)4? dx 2. What is 4 (x2 – 3x)5? dx 3. W...

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Q: Which of the following equations is an exact DE? O (10x^2 +5)dx-20xydy%3D0 O (2xy-3x^2)dx+(x^2-2y) d...

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Q: 8. What is dx (x2+8)3

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Q: Evaluate (*(x-2) (х-1)3

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Q: 3. A rectangle with a fixed perimeter of 64 units is rotated about one of its sides, thus sweeping o...

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Q: 1. From the graph, determine the function f (x) is continuous at x = -1. f(x) 3 %3D %3D -5 -4 -3 1 -...

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Q: Find the volume generated by revolving bout the line x -1 the area bounded by (y + 2) = 4(x + 2) and...

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Q: Find S y? sin y dy

A: Integration by parts : ∫f(y)·g(y) dy = f(y)·∫g(y) dy - ∫ddyf(y)·∫g(y) dy dy   We have to find ∫y2 si...

Q: Find the volume of the solid generated of the area bounded by y = x², y + 2x = 8 and y = 0, rotated ...

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