Describe in words the region of IR^3 represented by the equations or inequalities. y^2 + z^2 = 16

Q: Determine the point(s) where the tangent to the curve is horizontal: y = (x2 + 2x + 1)(x2 + 2x + 1)

A: Given problem:- Determine the point(s) where the tangent to the curve is horizontal:   y = (x2 + 2x ...

Q: 12w3+6w2-5w+1 h : 5w+3

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Q: Consider the following. gtx)= 6x - 7; h(x) 1.7* Find the derivative of f(x) g(x) h(x). rm- (a²-7)(in...

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Q: Find the derivative of the function y = 10x + 9x 8

A: Here we need to find the derivative of the given function y=10x+9x58 Now, we use the formula if y=xn...

Q: Question 13 sin(Va - 1) lim x - 1 (a) 1 (b) 1/2 (c) 2 (d) ∞ (e) none of these

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Q: 2 Find vertical asymptote(s) of the function t(x) : Use commas to separate equations if needed. %3! ...

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Q: 2. Find the equation of the tangent line to the curve y = x³+ 2x² – x at the point (-2, 7).

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Q: Write the sum (6² + 6) + (6³ + 6) + (64 + 6) + (6³ + 6) in summation notation in terms of k. (Use sy...

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Q: 1. Use integration in cylindrical coordinates in order to compute the vol- ume of: U = {(x, y, z) : ...

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Q: Find the standard form of the quadratic function shown below: 7 6 5 4 + 3 2 + -8 -7 -6 -5 4 -3 -2 -1...

A: Graph of the function is given.

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

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Q: The height, h(x), of a punted rugby ball is given by h(x)= 21 +zX- 2x+3 where x is the horizontal di...

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Q: Determine the x-intercept(s) of the quadratic function f(x)=x²+ 2x+ 2. no x-intercept(s) (-7, 0), (–...

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Q: Let y = xlog, (x) Then dy %3D dx

A: Given, the function                                  y=xlog5x then we have to find dydx.

Q: A real estate office handles an apartment complex with 60 units. When the rent per unit is $98 per m...

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Q: Provide an appropriate response. Given that x > 0, find the maximum value, if any, of x-x".

A: Given that x>0. We have to find the maximum value of  x1x5.

Q: Consider the following piecewise-defined function. - 2x2 + x - 2 if x 3 Step 2 of 3: Evaluate this ...

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Q: Find the point on the graph of the function that is closest to the given point: f(x) = x² , (2,5) (A...

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Q: An airpiane is flying an a at 350 MPH. Find the component form of the velocity of the airpiane, Also...

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Q: 6. Find the centroid of each of the given plane region bounded by the following curves: y? = x³, y =...

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Q: COLUMN A _1. S(G-0) dx =- 4 In|x|+ C ? 8 _2. )dx dx = 6Vx + C ? _3. S(3VE +는) dz=(x+ 3) + C

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Q: Consider the coordinate vectors 7 (w]s (als = 0, B)s -3 %3D %3D 4. 2 3 4 (a) Find w if S is the basi...

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Q: If f(x) = 2 sin(x) + 3x", find f' (3). f' (3) =

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Q: Find an equation of the tangent line to the graph at the given point. 3(x2 + y2)2 = 100(x? – y2), (-...

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Q: 1 (8n – 1)? n=1 a) Enter an integral whose convergence or divergence is equivalent to that of the gi...

A: Given that∑n=1∞18n-12a. Integral test for convergence or divergence fx=18x-12a=1,b→∞∑n=1∞18n-12≈∫1∞1...

Q: Find the volume of the torus (donut) with radii r and R as shown in the figure.

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Q: y'= (6x-2y-3)10 When 9polyg the vavable change u= - 6x-2y-3 the eqn converts 'into? Oa du = (-2u" + ...

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Q: Does the sequence (a,) converge or diverge? Find the limit if the sequence is convergent. 2 4n + 4n ...

A: To determine whether the sequence an converges or diverges. To find the limit of the sequence if it ...

Q: d²y 4y 3e2x. %3D dx2 3.

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Q: S cot5xdx

A: Solve the integration

Q: Find the value of the derivative (if it exists) at the indicated extremum. f(x) - - 3xVx + 2 10 -2 4...

A: topic - derivative of a function

Q: Exercise 2 Use spherical coordinates to evaluate ff[(9-x' - y') dV , where E is the solid hemisphere...

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Q: A tank holds 52 gallons of water. Initially, at t = 0, a solution containing 1/6 lb/gal of a chemica...

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Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b). (Select all tha...

A: topic - Rolle's theorem

Q: Evaluate the integral. O sV3+4 + C V3+4 + C V3+4 O 5V3+2 V3+2 + C + C In x

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Q: S sinx In(1 + sin x) dx

A: Given problem:- ∫ sin(x) ln(1+sin(x)) dx 

Q: Question 10 Compute y for y=(tanx)**+1 sec?x y = (tanx)**+1 2xin(tanx) + (x² + 1) tanx %3D sec?x y =...

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Q: ( sin' x cos³x dx

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Q: Cansider h(x)= Ilx? -6x = l|x? calculate Ha) 6 .x T1 3 (22r – 6) A) In(3)- 11 (22.r – 6)3** - (11z² ...

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Q: Suppose you know • lim f(æ) = o and lim g(x) = o. • lim f'(2) = - 4 and lim g'(x) = 7 %3D * 00 2 109...

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Q: 3x +2) dx

A: use simple integration formula.

Q: 16. 3x² + 3y? + 3z² = 10 + 6y + 12z

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Q: Question 12 Suppose that k is a real constant such that all the tangents to the curve y = In(x2 + 1)...

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Q: In your notes, create an interval table for f(x) = x* - 8x? by testing values around the critical va...

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Q: 2. Find the general solution of the differential equation: dy dy 5 + 6y = e3x dx - dx?

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Q: Sketch the graph of of the functian given below. f (#,y)= 9 -x ²-y²

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Q: S. The resulting integral of sin cos-sino d0 has the form | 2 2 -F(0) + C. What should be the value ...

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Q: Use substitution to find the indefinite integral. 6x+7 (3x? + 7x) ... Describe t most appropriate su...

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Q: An airplane is flying in still air with an airspeed of 375 miles per hour. The plane is climbing at ...

A: Solved below

Q: You have been given the following : F(2iy.z) = y™ Find the value for the partial derivatfves shown b...

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