Use a triple integral to find the volume of the solid bounded below by the cone z = √x + x² + y² + z² = 648. and bounded ab

Q: ∞ Σ k=1 23k e-0.38k2 accurate to 10−5

A: We will find.

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Q: So (2+7x) et ¹ dx

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Q: Write the equation for the plane. The plane through the point P(-2,-5,3) and normal to n = (2,7,8 O…

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Q: L3Q6. If f(x) = 2x – 1 and g(x) = log x, compute (f – g) (x). A.2x – 1 + log x B.2x – 1 – log x

A: Given; f(x) = 2x – 1 and g(x) = log x

Q: Calculate the area of the segment cut from the curve y=x(3−x) by the line y=x. Also, sketch the…

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Q: Calculate the arc length of the indicated portion of the curve r(t). r(t) = (3 − 2t)i + (1+6t)j +…

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Q: A 25-year old woman burns 150 - 60t cal/hr while walking on her treadmill. Her caloric intake from…

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Q: 7. Let C be the portion of the circle x² + y² counterclockwise. (a) (b) Evaluate La xy dy. = 4 from…

A: Let's solve given integral.

Q: Suppose F(x, y) = -y sin(x)i + cos(x)j. (a) Find a vector parametric equation for the parabola y =…

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Q: 6. Revenue: Pacific Sunwear The annual revenue of Pacific Sunwear of California over the period…

A: Concept: Here the annual revenue is given by the expression p(t)=-0.075t+0.975+0.75 Where t is the…

Q: S x²-x +2 -X X³ + 4x -dx

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Q: The series is divergent. Select one: O True O False n Σ (-3)" n=3

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Q: Find an equation or inequality that describes the following object. A sphere with center (4,1,1) and…

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Q: receiving his first income, Juan dela Cruz invested P20,000 in a bank for his future family. The…

A: Given the query is to find growth rate, money after 10 years and time taken to double the amount.

Q: ies =gent. one: 2 Σ n: 4 7

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Q: Let C be the positively oriented square with vertices (0,0), (1,0), (1, 1), (0, 1). Use Green's…

A: Let's solve by using green theorem.

Q: when

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Q: Find the Wronskian of two solutions of the differential equation t²y" - t(t− 3)y' + (t− 2)y=0…

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Q: . Consider the series partial sum of infinity to k = 2 of (k^4 + 2k^2 + k −3)^(1/2)/(k^3 + 2k^2 + 6)…

A: Solve the following

Q: Find the equation of the langents to the graph y-x3 3x2-15x-20 at the points of the graph where the…

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Q: dx x√√81-x1 (Type an exact answer.) 16 =

A: Given: I=∫dxx81-x16   ....1   As we know the common integral. ∫1ax+bdx=1alnax+b+C

Q: Determine the particular solution. (xy)dy – (3x² + y²)dx = 0; Y(1) = 1 O 3ln(x) + 12 = 1²² 2x² O…

A: Let's solve differential equation.

Q: 13 Given Sine= - 12/23 and Cos0>0. Find the remaining trig. values of 0. From Sec 5.3

A: sinθ = -1/5 cosθ>0 here the quadrant given is 4th  because in 4th cosθ>0 and sinθ<0 now…

Q: Using the function g ( x ) = 2x³ - 6x , determine the intervals where the - function is increasing…

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Q: Use the Root Test to determine convergence or divergence (or state that the test is inconclusive).…

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Q: y = 9x6 - 81x4 (Use symbolic notation and fractions where needed. Give your answers in the form of…

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Q: 7. Consider the curve C given by the parametric equations x = cos(0), y = sin(0) cos(0) (a) Sketch…

A: Let's sketch the graph and find tangent of given parametric equations.

Q: Wallis Formula Evaluate the following integrals. sin (3x) cos5 (3x) dx 1. 2. 16 4 [*³* sin³(2x) dx

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: The expression log10 √²+1∙log10 1000 is equivalent to: Ο Α. 1000(x² + 1) log10 3 B. log10 (²+1) O C.…

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Q: The series is divergent. Select one: O True O False Σn=1 4n³ + 4 5 5 7 n° +1

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Q: b\ Fill the blanks 2/3 (1) Suppose you have a matrix x = [33], 13 4/5/61 2) Suppose you have a…

A: To fill in the blanks.a Suppose you hava a matrix x=12343456, then x...=35.b Suppose you hava a…

Q: |-2 Evaluate the triple integral ²³ cos (y²) dz dx dy.

A: Here we have to perform triple integration

Q: For the cubic polynomial function f(x) = ax³ + bx² + cx + d, find a, b, c, and d so that 0 is a…

A: Solution of given question is written in below steps.

Q: Refer to the figure and find the volume generated by rotating the given region about the specified…

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Q: Shown to the right is a graph of f(x). (a) Describe the transformation for h(x) = -f(x + 1) +2. (b)…

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Q: From this graph, Find the volume around the X-axis (Use π = 3.14). y = x (0, 0) (1, 1) y=x² R

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Q: Select all invertible transformations from the list below: Shearing Translation Scaling Projection…

A: Projections are not invertible transformation except we projects onto an entire space.

Q: Prob. 5 (a) () Find all points where f is discontinuous. Classify these points (if any) as removable…

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Q: Question The range of the function f(x,y)=-2+e√²-x²-ylis: [3:2+e] O This option None of these O This…

A: We have to find the range of the function.

Q: Solve the initial value problem. dy do y=0 +y=10 cos 0,0>0, y(x) = 1 THEE

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Q: 1. Which of the following is the general solution of the differential equation Oy²=x² +C að

A: We will solve the differential equation.

Q: 5. Determine the area below f (x) = 10 - 2x² and above the line y = 3. 11. 6. Determine the area…

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Q: bn = n' ебп

A: Here, the given sequence is bn where bn=nne6n

Q: II) Let ƒ be the piecewise function f(x) = 2³+ 6x² + 8x x+2 2¹-2, 1-x-2, " x≤-1, x -2 -1 1 1) Sketch…

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Q: Find the length of the dashed zig-zag path in the following figure. 34 0.75- 0.5+ 0.25+ 00.25 0.5…

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Q: Enclosing the Largest Area The owner of the Rancho Los Feliz has 2580 yd of fencing to enclose a…

A: The owner of the Rancho Los Feliz has 2580 yd. of fencing to enclose a rectangular piece of grazing…

Q: First four terms of the sequence are: O O O ○ ○ O 6 {ff, 5 14 9 n²+5 n 1+4 n 61 36 26' 14 { 14/1/2,…

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Q: How/why does f(x)=10/x become f(x)=10/x^2?

A: The process of how f(x)=1x become f'(x)=-10x2 has been explained in next step.

Q: SW n=1 3n+2 2n+3 h

A: Given :∑n=1∞3n+22n+3n