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Q: Calc 3 Evaluate the integral, where E is the solid that lies within the cylinder x2 + y2 = 9, above ...

A: We know that r2=x2+y2 Here given that, x2+y2=9 x2+y2=9x2+y2=32Therefore, r=3 In cylindr...

Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola 23.12x=y^2

A: Given: The parabola is 23.12x=y2. Calculation: Comparing with y2=4ax, we get 4a=23.12a=5.78 Theref...

Q: Find bhe equations of au the five sides of the penta gon joining the points 15,0) (11,0(11,5)18,10) ...

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Q: Points A and B are separated by an obstacle. In order to find the distance between them, a third poi...

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Q: Using appropriate Tests, check the convergence of the series, x2 1 + + x* 2' 5V3' 8V5

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Q: The sales tax for an item was $19.20 and it cost $480 before tax. Find the sales tax rate. Write you...

A: Given that the sales tax for an item was $19.20 and before tax the cost of the item is $480. The obj...

Q: Mathematical ReasoningWriting and Proof: True or False?

A: True proof Let us assume that x is even So x=2z for some constant z Therefore x.y=2zy Which implie...

Q: 10. A certain pyramid has a volume of 451.6680729 cubic meters. If one side of the base is 6.5m and ...

A: For the above described problem, initially we need to find the number of side in the polygon, For th...

Q: Your Uncle Nick made a trust fund for your younger sister. He had more money when she was born, so h...

A: Since you have asked multiple questions we will solve the first three parts of the first question.If...

Q: Consider the function defined by f(x) = re" + xe-* + 4: (1) study f and draw its graph, (2) determin...

A: Consider fx=xex+xe-x+4

Q: The question I would like assistance with is posted below:

A: Consider the given figure. By the trigonometric ratio, in a right triangle we have tan∠A=side opposi...

Q: Please do #34. (1)First need to draw a graph of the region — and copy it on your paper. (2) Show t...

A: Sketch the curve:

Q: Use newtons method to estimate the two zeros of the following function start with X0 = 0 for the lef...

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Q: Isogonal Trajectories

A: Determine the curves which intersect the origin-centered circles at an angle of 45 ∘ . The differe...

Q: parametric equations

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Part A

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Q: Let L: be a line and P(5,-5, -4) a point. Let Q be the closest point on L to P. a) Find the point Q....

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Q: 4. A confectioner has 600 pounds of chocolate, 100 pounds of nuts, and 50 pounds of fruits in invent...

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Q: The population of salmon next year is given by f ( S ) = S e r ( 1 - S / P) , where S is this year's...

A: Given: The population of salmon next year is: f(S)=S er 1-SP Where, S is this year's salmon populati...

Q: Find an equation of the tangent line to the graph of y = ln (x^2) at the point (4, ln (16))

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Q: A well-known theorem of elementary geometry states that the sum of the squares of the sides of a par...

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Q: 1)Solve with graphical method a) Max Z=xyS.t x=2y 0≤x≤20 0≤y≤20 x,y≥0 b) ...

A: NOTE: According to guideline answer of first three similar subpart can be given, so for third please...

Q: Find the future value of an ordinary annuity of $4,000 paid quarterly for 4 years, if the interest r...

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Q: Suppose that A and B are square matrices, and that AB = BA. Suppose that v is an eigenvector of A wi...

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Q: Consider the function f(x) = 2x³ + 24x² – 120x + 5, - 10 < r < 3. This function has an absolute mini...

A: f(x)=2x3+24x2-120x+5Differentiate w.r.to xf'(x)=6x2+48x-120f"(x)=12x+48 Now, f'(x)=0⇒6x2+48x-120=0⇒x...

Q: A political candidate wants to use a combination of radio and TV advertisements in her campaign. Res...

A: Given, Each 1 minute spot on TV reaches 0.9 million people. Each 1 minute spot on radio reaches 0.8 ...

Q: 5) Movie Theater Screens Suppose that a movie theater has a screen that is 28 feet tall. When you si...

A: Given that the viewing angle is θx=tan-134x-tan-16x. a) First it is required to find viewing angle i...

Q: A ball is drawn from a bag containing 11 red balls numbered 1-11 and 6 white balls numbered 12-17. (...

A: number of red balls = 11 Sample space for the red balls S1=1,2,3,4,5,6,7,8,9,10,11 number of white b...

Q: 7n2 + 3n +1 Determine whether the given series is convergent or divergent: Show all 5n4- 2n - 1 n=1 ...

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Q: Rewrite the given expression using a single power series whose general term involves xk.

A: Concept:

Q: Your College is building a new running track. It is to be the perimeter of a region obtained by putt...

A: a Let the length of the rectangle be x and its breadth be y Then perimeter =2x+πy2+πy2 440=2x+πyy=44...

Q: If S"(x) = 24.x' firnd /(x) if you know /(0)=0 and f'(0) = 0

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Q: (cos 2a) y/" – y = 0; y (0) = 1, y (0) = 1

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Q: Verify answer using the concept of definite integral.

A: xi = right end of the ith rectangle of width ∆x. NowIf n →∞then∆x →dx, and∑i=1n→∫ab, andf(xi)→f(x)H...

Q: [Linear Algebra] How to solve a)?

A: R is rotated counter clockwise by the angle of 5π6. So, θ=5π6.

Q: Verify that y(t) = ceat solves the differential equation for unlimited growth, y' = ay, with initial...

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Q: Suppose a fair coin is tossed two times. Construct an equiprobable sample space for the experiment, ...

A: Given: A fair coin tossed two times.

Q: For which value of a is the solution set of the following systemx + 5y + z = b ? 52x ? 4y ? z = a + ...

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Q: Write the sum using sigma notation: 1 1 1 1 У В, where 1.2 2 -3 3.4 128 · 129 n=1 A B =

A: The given sum is 11·2+12·3+13·4+⋯+1128·129=∑n=1AB. Here notice that every term is in the form of 1nn...

Q: 4. Let B = {v1, V2, ..., Vn} be a basis of a vector space, V. %3D a) Prove just ONE of the following...

A: As per our guidelines I am going to solve only 1. For next kindly resubmit the question mentioning ...