5. The equation x² + y? + 2 y +z2 - 2 z = 0 is a sphere. Determine its center and radius.

Q: Answer the following problems using the specified method up to four (4) iterations only. Round off…

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Q: y

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Q: 12.) Find the area inside r = 4- 2cos(e) and outside r -6 + 2cos(e)

A:

Q: 1. Let f(r, y) Find: I+y+1 (a) f(2, 1) (b) f(1,2) (c) f(a, a) (d) f(y+1,y)

A: Let fx,y=x-yx+y+1. Finda f2,1b f1,2c fa,ad fy+1,y

Q: 3 y = sin?x? ; find dy 13D Xp

A: We will use simple differentiation rules to solve this question.

Q: Question 3 of 10 u(x) = (tan? x – x²)³ Select the correct response. 3(2 sec a tan x - 2.r)(tan? x-…

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Q: Question 2 Find the intervals of concavity of the function g(x)= 3x4 – x3

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Q: B. Directions: Find an equation of the tangent line to the graph of the equation at the given point.…

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Q: Prove the identity. (1+tanx)^2 = sec^2x + 2tanx

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Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is 1…

A: Let's find.

Q: @ d(uV)- udv +vdu V du-udv prove the following du O dlnu)= #an dhan'v)= dv

A:

Q: Write the general equation for the circle that passes through the points (1, 1), (1, 3), and (9, 2).…

A: To find the equation of circle passing through three given points.

Q: What is the derivative of 3x+5?

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Q: 5- S(tanx + secx)² dx

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Q: 16 In general conic form, what is the equation of the circle whose center is at the origin and…

A: The general equation of the circel with center (h,k) and the radius r is given by:…

Q: Solve the initial value problem y" – 6y + 25y = 0, y(0) = 2, y (0) = -3. %3D

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Q: 4. Sdx

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Q: For Item # 3- 5: Myrvel is working on the graph of the function y = - 2x + 4x – 6x + 7 and the point…

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Q: Consider the differential equation y" – 11y" + 28y' = 0 Write the auxiliary equation of the given…

A: Given a higher order differential equation.

Q: A. Solve for the integrals of the following: 3 - dx b) 2+ 3x ST a) dx c) 1+ 2x2 e2a + 1 3

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Q: x3 +4x2+37x+58 6. S: x(x2+4x+29)

A: To evaluate the given integral.∫x3+4x2+37x+58xx2+4x+29 dx

Q: Evaluate S(5 – 3x) dx using geometry. | 1 3.

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Q: -3 d) de e) co f) dx x-2 + 4 cot x dx e2x - 1

A: Solution in step 2

Q: Using the algebraic technique (no graphs!) we learned in this unit, find the slope of the tangent to…

A: Given

Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

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Q: 1. The volume V of a right circular cone of radius r and height h is given by V = r?h. %3D (a) Find…

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Q: IV. Problem Solving: A. Write the expression as a single Integral. Choose your answer from the box.…

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Q: Carlo works in a restaurant and makes S6 per hour plus tips. He is receiving an average of $5 per…

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Q: Find dy/dx: а. y = cos t dt

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Q: Evaluate the upper and lower sums for f(x) = 2 + sin(x), OsxSA, with n = 2, 4, and 8. Illustrate…

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Q: n(x) = csc²(;2) Select the correct response: 1 1 CSC + cot(5) - 1 sec"(5e) tan(-e) csc²(-x) cot(r) 2…

A: We have to find the derivative of the above equation.

Q: A tank is discharging water through an orifice at a depth x (m) below the surface of water whose…

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Q: Consider the hyperbola Qu 144y + 864y - 25x – 50z = 2329 Qu Qu What are the vertices of this…

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Q: (x³-4) dx x3+2x2+2x

A: Here we have to integrate the given Integral.

Q: u(x) = (tan? x – a²)³ - Select the correct response. 3(2 sec? x tan a- 2x)(tan? r- a²)² o 3(tan? r –…

A: Given that       u(x) = (tan2x - x2)3

Q: 1. Find the maximum value of r+y subject to the constraint r+ y = 18.

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Q: 3. S**dx х2-1

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Q: The auxiliary equation of the homogeneous linear equation y" – 24y' – 16y = 0 is m2 – 24m – 16 = 0…

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Q: If the derivative of f is f'(x) = (x – 1)(x + 2), then f is decreasing on (-2, 1) Select one: True…

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Q: 1. [(20x + 30)(x² + 3x – 5)° dx 2. S 5(x – 4)(Vx² – 8x) dx - 3. S 3x-4(2+ 4x-3)-7 dx

A:

Q: If f(x) = x² m2. find f'(2).

A: We will use simple differentiation rules to solve these questions.

Q: *xp: Evaluate the integral Jī+x

A: The given integral is: ∫x1+xdx

Q: d d Calculate ri(t)· r2(t)] and dt [ri(t) × r2(t)] first by differentiating dt the product directly…

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Q: Find the volume of the solid generated when the region enclosed by the given curves is revolved…

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Q: What is the first derivative of the equation? 2. What is the second derivative of the equation? 3.…

A: Follow the procedure given below.

Q: 3. Let f(r, y) = I sin ry. Find: %3D (a) fa(1,9) (b) fy(r, y) (c) fyy(I, y) (d) fyz(I, y)

A: Given,            fx,y=xsinxy

Q: Question 10 of 10 sin x g(x) Select the correct response 1 Vx cos x 2x CoS x sin x - 1 VT cos x Va…

A: To find out the derivative of the function.

Q: 2- fx³e-2x* dx

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Q: 5. S dx

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Q: Find the limit. NOTE: Enter the answer using round brackets. t² + 8 1' lim t→+∞\ 9t² + 10't (?, ?)

A: We can solve this as follows: