1. Let V be the solid enclosed by the paraboloid z =-x² – y² and the cone z? = x² +y²,z > 0. (a) Find the volume of V. (b) Find the surface area of V. (c) Calculate (x² + y?) dS. av

Q: 2(1+) (1+4) +1 . Suppose that lim E: 2 In(10). Fill in the boxes for the corresponding equation invo...

A: Using Riemann sum:

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A: NOTE: Refresh your page if you can't see any equations. . as we can see the function is increasing ...

Q: a) Determine the null space of the given matrix A, nullsapce(A). -5 -3 A = 6 . -2 -8 4 1 3.

A: The solution are next step

Q: 2b. y" - ху' + у 3 0 A. y=X В. у %3Dх = X С. у %3D1- х? D. y = 2x? – 1 E. y = 0 Е.

A: Given:Differential equiation y''-xy'+y=0d2ydx2-xdydx+y=0Given A)  y=x2dydx=2x (we know that dxndx=nx...

Q: 5. f (x) = -x² (3x + 7)(x – 2)(x + 1) %3D

A: We have given f(x) = -x2(3x+7)(x-2)(x+1)  We have to find  1) roots of this function 2) end behaviou...

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A: Solve the following

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Q: d?y Find in terms of x and y. dx2 y = x5 d?y dx2 II

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A: Given,

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A: First we have to make a fraction then, solve for the given problem

Q: Graph the following: 1. Find all roots. 2. Determine the end behavior 3. Find the y intercept 1. f(x...

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Q: 2. Consider a ball thrown in the air (f) defined by the formula f(x) = (3 + x)^2 whose domain is the...

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Q: a. Given that f(x) = 5x – 15 where f(x) = y, define a function rule for f!. - 1 - f-(y) Preview 2u +...

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Q: Let S = { (a, b, c) ER° : b = a +c}. Show that S is a subspace of R'.

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Q: Find the exact value of the trigonometric function. (If an answer is undefined, enter UNDEFINED.) 57...

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

Q: The denominator of a fraction is one more than twice the numerator. 16 If the sum of the fraction an...

A: Given that the denominator of a fraction is one more than twice the numerator. If the sum of the fra...

Q: Evaluate 2x² +5 lim x+1

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Q: 21t2. Write a function f Suppose y = 3t + 5 and x = that determines y in terms of x. (Assume t > 0.)...

A: Firstly find 't' in terms of 'x' and put the value of 't' in first equation and after that solve and...

Q: Q: If f,g:R→R are defined respectively by f (x) = x² + 3x + 1, g(x) = 2x - 3 find (i) fog

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

Q: Q : If ƒ,g:R→R are defined respectively by f (x) = x² + 3x + 1, g(x) = 2x – 3 find (i) fog %3D

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Q: This exercise involves the formula for the area of a circular sector. Find the area A of the sector ...

A: a.) Given  Radius of the circle is  R = 9 unit Angle subtended at the center  thera = 72°

Q: 18. Let f (x) = 5sin(x)cos(x). Find the first and second derivatives of this function. df dx 7:04 PM...

A: The objective is to find first and second derivative of the given function.

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A: Topic - mensuration Change in surface area = 0.818

Q: . Let F be the vector field (ze"z + yz², xz², xe*z + 2xyz) (a) Find the divergence of F. (b) Find th...

A: The vector field isF=zexz+yz2,xz2,xexz+2xyzb) To find the curl of F

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A: If roots of a quadratic equation are equal , then discriminant of the quadratic equation is 0 . If q...

Q: For complex number z and w, prove that |zw-w z=z - w if and only if z = w or, zw = 1. W

A:

Q: A central angle O is drawn in a circle of radius r, as in the figure below. 2 A (a) The length of th...

A:

Q: Below are the graphs of 6 functions A-F. There are also graphs of 5 derivative functions 1-5. Match ...

A:

Q: For complex number z and w, prove that |zw-w z=z - w if and only if z = w or, zw = 1. W

A:

Q: Let f(x) = 4 V+1 and g(x) = x - 7. %3D Then (f o g)(5) = | 4- Va2-14x +50 (fo g)(x) =

A: Given  f(x) = 4-x2+1  and  g(x) = x-7 We have to find  f∘g(x) and f∘g(5).

Q: Solve for x and y. NOTE: TWO MATRICES, A & B ARE EQUAL IF THEY ARE OF THE SAME ORDER & CORRESPONDING...

A: A matrix theory is given. This theory states that if two matrices are equal then they are of the sam...

Q: Q : If ƒ,g:R→R are defined respectively by f (x) = x² + 3x + 1, g(x) = 2x – 3 find (i) fog %3D

A: We will find the fog(x) as following.

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A: NOTE: Refresh your page if you can't see any equations. . x=width of the rectangle y=length of the ...

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A: NOTE: Refresh your page if you can't see any equations. . x=original width of the photo. you want to...

Q: Find the average rate of change of the function f(x) = 2x- 4x 8, on the interval r E [-3,2]. |3D

A:

Q: Find parametric equations for the line described below. The line through the point P(1, 1, -2) paral...

A: Use equation of parametric line and put value

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A:

Q: For the following exercises, consider a rocket shot into the air that the meters is given by h (t) =...

A: Given that: h(t)=600+78.4t-4.9t2

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A: We will find the answers to all the parts as following.

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A: We know that , Limit exist if, Left hand limit = right hand limit limx →a - f ( x) = limx→a+  f(x) ...

Q: Being f(x,y) = xy + y², find the following limits: f(x, y + h) – f(x, y) fy = lim h-0 h

A:

Q: For complex number z and w, prove that |zw-w z=z - w if and only if z = w or, zw = 1. W

A:

Q: Use the graph of f' shown in the figure below to answer the following questions. y y=f'(x) -1 1 2 3 ...

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Q: Q: If ƒ,g:R→R are defined respectively by f (x) = x² + 3x + 1, g(x) = 2x – 3 find (i) fog

A: To find the composition function f∘g where f,g:ℝ→ℝ, f(x)=x2+3x+1, g(x)=2x-3.