Evaluate ez dV where E is enclosed by the paraboloid z = 4 + x? + y², the cylinder x? + y? = 1, and the xy plane.

Q: y" + 2y' + y = te-t (s² + 2s + 1) y(s) 1 1)y(s) = (s² 1 + 2s + 1) y(s) = (s + 1)? (s + 1)* A.) В.) 1...

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Q: -7 Let f(x) 7xVI + f'(x)

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Q: Find all real solutions to 2x'3 -4x6 – 6=0. 1/3 1/6

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Q: f(x) then: f'(x) = f'(1) -

A: We are asked to find the derivatives of the function.

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A: Let  u = a i^ +b j^ be a vector functionthe dot product of u with itself is given byu·u = a i^ +b j·...

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Q: page 4. INDICES AND SURDS PAPER 1 J2014 ven that 2**× 4vx gr-y = 1 and 3*+y =, find the value of x a...

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Q: Use l'Hopital's Rule to evaluate the limit. cos 3x - 1 x2 21) lim x-0 A) - C) 0 D en len

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Q: true ? following which of the is 9. In finite rey union finite set is finite set. of 6. The union of...

A: (b). If A and B are disjoint denumerable sets,then A∪B is also denumerable.

Q: If g(2) = 3, g'(2) = 5, h(0) = 2, and h' (0) = 4 find F'(0). F'(0)

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Q: 4. Find the radius and centre of curvature of the curve x = (1 - at) cos t + a sin t, y = (1 – at) s...

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Q: Compute lim 7(t) where 7(t) t-2 1 V1 - t, t t+1

A: It can be solved using simply putting limits.

Q: If x – y is an element of the set of positive real numbers, then A.) x > y B.) y^2 y^2 D.) All of ...

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Q: (x² + y²)dx + 3xydy = 0

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Q: trigonometric functions (alway decimal approximation (unless a) cos b) V3 sin- V3 c) cos

A: As per guidelines if multiparts questions are posted we are allowed to solve 1st three parts....so f...

Q: Consider the shaded region R enclosed by the curve y = 6x – x² and the line y =-x as shown in Figure...

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Q: ) A metal component is subjected to heat-treatment called normalisation. The component is eated to a...

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Q: 11-14 Sketch the direction field of the differential equation. Then use it to sketch a solution curv...

A: Consider the differential equation.  ...... (1) Need to sketch the direction field of given differen...

Q: Given that lim f(x) = 4 X-2 lim g(x) = -5 X-2 lim h(x) = 0, X-2 find each limit, if it exists. (If a...

A: given limx→2f(x)=4limx→2g(x)=-5limx→2h(x)=0

Q: Determine the general solution of the given differential equation

A: Rewrite the equation in standard form. And solve it 

Q: Find the general solution of the following differential equations (1) y' = x- 2y cot 2x dx (2) = cos...

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Q: 5. A realtor bought a group of lots for $90,000. He then sells them at a gain of $3,750 per lot and ...

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Q: Find the derivative of f (x) 2x5 9x f'(x) =

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Q: Compute the derivative of the following function. You do not need to graph it. g(x) = sin x· cos x

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Q: Points A and B have position vectors a = 2i + 3j – 4k and b = 2i – j + 2k. Point C has position vect...

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Q: A cliff diver plunges from a height of 36 ft above the water surface. The distance the diver falls i...

A: Here we have to find the time when the diver hit the water and also the velocity.

Q: 10. Let S be the set of numbers of the form { ((-1)^(n)) (2n + 1)/(4n - 1) } where n is an element o...

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Q: x2+6x+8 14. f (x) = x2+7x+12

A: Find the asymptotes of the given functions. 14. fx=x2+6x+8x2+7x+12  

Q: (3x² + y²)dx + 2xydy = 0

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Q: Perform the indicated operations. Simplify the answer when possible. 2/32 +5/50 - 3 18

A: Simplified

Q: Find the domain of the vector function 7(t) = (, V1-t, 1 1 – t, t t +1 A. (-0, –1) U (-1,1) В. (1, +...

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Q: of Aumbers form {(-1)^(n+1)(n-1)/(n41)} Let be the ret of the where is an clement of the set of natu...

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms c...

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Q: Consider the equation sin x – cos 2x = 0 a. Show that this equation has a solution in the interval [...

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Q: 4 If f(x) = 4+ find f'(x). Find f'(5).

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Q: The population of Toledo, Ohio, in the year 2000 was approximately 490,000. Assume the population is...

A: Given:- The population of Toledo, Ohio, in the year 2000 was approximately 490,000. Assume the popul...

Q: 3-1t 4.) Iim 5x-4メト! 入ーレ Atuメ-X 5) メー3 メー0 2入+ (4x

A: NOTE: Refresh your page if you can't see any equations. . divide by x2

Q: Geometry What is the length of the edge of a cube if, after a slice 1-inch thick is cut from one sid...

A: We have to find the length of one side.

Q: B. EXACT EQUATIONS Find the general solution of the following differential equations (1) (x² + y²) +...

A: Solution is given below:

Q: If f(1) = 3, f'(1) = 4, g(2) = 2, and g'(2) = 8, find F'(1). F'(1) = ... NOTE: This problem is a bit...

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 3. Solve the inequality 12 + 4x-x² > 4 using the graph. Express your answer two ways; on the number ...

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Q: Determine whether the number is rational or irrational. 3.789778977789.. Is 3.789778977789... ration...

A: The given number is: 3.789778977789...

Q: (a) Define what it means by 2 for y = f(x). %3D

A: Topic:- calculus

Q: Solve the differential equation with appropriate method. 3xy2dx + (3x2y + 4y3)dy = 0

A: As per our guidelines we only solve 1st question and rest of the question should be reposted.

Q: Find cos a da 15.

A: We are asked to evaluate the integral.

Q: Solve the following initial value problem for  y = f (x). dy dx  =  e−3x, y = 79  when  x = ...

A: dydx=e-3x and y=79 whrn x=0

Q: 5. Use Implicit differentiation to find dy when y V x2 tya = 15x° +4siny 3

A: Using implicit differentiation find dydx for;  yx2+y2=15x3+4siny