Scanned With Camca Find the maximum of f(x) = et

Q: Sand is pouring from a hole at the rate of 25 cubic feet per second and is forming a conical pile on...

A: Solved below

Q: Find an equation of the plane with the given characteristics. The plane passes through the point (14...

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A: This question is based on vectors.

Q: Solve each problem A segment has a midpoint at (10. 5, –0.5) and the endpoint at (6, 11). What are t...

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Q: 5. In the differential equation (xy +1)kdx+ x(x+4y– 2)dy =0, the integrating factor is

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Q: TT/3 4. sec x tan x dx sec3 x T/6

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Q: 7. a. Find the points on the curve x = 3(t2 – 3), y = t³ – 3t where the tangent is horizontal or ver...

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Q: differentiate y = (x2 -4) 1/2  / (x)2 + (1/2)[Arcsec(x/2)].

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Q: (b) f(z)= (4 – 5e*)³ x² + 1 (c) f(r)= ez %3D (d) f(z) = e=²–5z+4 ez-5x+4 (e) f(x)=xe² – e² = re² – e...

A: We can solve this as follows:

Q: sin "x cos“x dx cos²a 4.

A: We will use simple Integration technique to solve this question.

Q: Provide an appropriate response. Find the area between the graph of #0 = 50 - 3w2 and the x-axis ove...

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(8, -2, ...

A: FIND THE AREA

Q: Among all rectangles whose area is 400 m^2, which one has the smallest perimeter?

A: The objective of the question is determine the sides of the rectangle for which the perimeter is min...

Q: 10. у%3D V2x+1

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Q: Find the area of the parallelogram that has u = i – 2j + 2k and v = 2j + k as adjacent sides. NOTE: ...

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Q: Consider the following planes. 3x + 6y – z = 126 x - 12y + 2z = 0 (a) Find the angle between the two...

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Q: Simplify ((x2n-2y8n)/(x5n+4y-n))1/3

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Q: 3 4+2x

A: Given,             32=x4+2xTo find : What is the missing term in the proportion?

Q: Question 3, Mr. W wants to divide a class of 20 students into 5 groups of 4 for a same task. In the ...

A: total number of students=20Number of students in a group=4Total number of groups=5Two constraints:1 ...

Q: 4 6 8 10 12 14 16 18 20 22 24 3. TV-VIEWING PATTERNS The following graph shows the per- centage of U...

A: As we know rate of changecan be calculate by formula           = Rise/Run

Q: 3. Consider the function f(r, y) = 'y - 4y at the point P(2,-1). (a) Find the directional derivative...

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Q: plane passes through each X + 2y - 4z - 1 = 0 %3D (a) (-5, 1, –1) O Yes O No

A: Given query is to find plane passes through the point or not.

Q: Зх - 8 If 3 = 0, then x = ? 3 3 Зх— 8 3 Зх — 81 3. 3.

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Q: Given x+y+z=5 and Po(2,1,2), find the following. (a) Find the equation for the tangent plane at the ...

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Q: y csc 3y? cot 3y² dy

A: Given problem:- ∫ y csc(3y2) cot(3y2) dy

Q: Determine the Cartesian equation of a plane that has x-, y-, and z- intercepts 1/3, 1, and -1/2, res...

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

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Q: Consider the points A(3, –2,3), B(4, –4, 1), C(-2, –3, 1), and D(5, 3, –4). |(a) Find the volume of ...

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Q: 2. The exact differential d xdy - ydx what is the d(xe")= x?

A: Let's find. 

Q: hort proof. 5. Show that cot 0 d0 is equal to In|sin 0| + C.

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Q: sketch the curve x2 + x2y2 = a2 y2 , a> 0. Enumerate the steps in your solution

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Q: Determine D103 (cos 2x).

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Q: 19. Find y' in the parametric equations x =, t-1 t+1 A) (f – 1) 7-1 B) (1+ 1)? 2 +1 C) (1+1)? t +1 D...

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

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Q: Find the surface area generated by rotating x=4*sqrt(t), y= ((t^3)/3)+(1/2t^2), 1<=t<=3 around the x...

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Q: 1. The exact differential d(xy)= xdy+ ydx, what is the d( = 4x' y'dy+2xyʻdx. 2. The exact differenti...

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Q: 2. Determination of integrating factors: 2y(x² – y + x kdx + (x² – 2y kdy = 0

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = j+ 2k v = i - 6j – k O parallel ...

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Q: ƏM 3. In the differential equation (y -x -4x–1dy+2y(x+ y+ 2)dx =0, 4. In the differential equation (...

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Q: S .2 4. sin x cosx dx

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Q: (A) Estimate the area under the graph of 5 f(æ) = - from x = 1 to x = 6 using 5 approximating rectan...

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does...

A: Let's find. 

Q: hp Use logarithmic differentiation whenever appropriate. Find da. y = (log4 x)evª

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Q: sin' 0 cos 0 d0

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

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Q: 7. (cos x+xcost)dt +(sin t -t sin x)dx = 0 Ans. t cos x+x sint c 8. (ysin x+xy cos x)dx +(xsin x+1)d...

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Q: Consider the following. u = (1, -9, -7), v = (6, -2, 0) (a) Find the projection of u onto v. (b) Fin...

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Q: Consider the function f defined as f(x) = 1 for 0 < x <1 and f(x) = 2 for 1 < x < 2. Define G(x) = S...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: Given that,

Q: If a machine can produce 2,550 metal parts in 7 ½ hours, how many hours would it take the machine to...

A: 2550 = 7 12 hrs converting hours to minutes 7 12 hrs= 450 mins 2550 metal parts=450 mins 1 metal par...