Evaluate the double integration: e²x e dxdy

Q: Consider the following. 0.75 +² dx V9-16x² 3 Let x = sin(0) and determine the following. 4 dx = de x…

A: Given I=∫00.75x29-16x2dxI=∫00.75x232-(4x)2dxLet  x=34sin(∅)Differentiate dx=34cos(∅)d∅As x=0 →∅=0…

Q: Use spherical coordinates. Evaluate SSS √x² + y² + z² dv, where E lies above the cone z = √√x² + y2…

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Q: 1. The expression log (at) is equivalent to: h logm a log t 1. A. B. log (at)" . log log Wat D. log…

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Q: Factor the difference an+1-an to show that the given sequence {a} is strictly increasing or strictly…

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Q: Q.2B) If we substitute the polar coordinate x = r.cose & y = r.sine continuous function w=f(x,y)…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the rate of change of the surface area of a hemisphere with respect to its radius. a. When the…

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Q: Evaluate: (answer in fractional form) So S/2 √xydx dy

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Q: Use the revenue and cost functions below, to answer parts (A), (B), and (C). R(x) = 75x - 3x² 1≤x≤20…

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Q: 28. X (1+4x²)³ dx

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Q: 13. Find the volume of the solid generated by revolving the area of a circle: (x − 2)² + y² = 4;…

A: The volume of the revolution of the function y=fx from x=a to x=b about the x-axis is: V=∫abπy2dx…

Q: So S/2 √xydx dy

A: solution:-∫01∫y2yxydxdy=∫01y∫y2yxdxdy=∫01yx3/23/2y2ydy=∫01yy3/23/2-y23/23/2dy=23∫01y2-y7/2dy

Q: I 2ex e3x tex dx

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Q: A stone is dropped into a still pond. Concentric circular ripples spread out and radius of disturbed…

A: Here we have to use the concept of the derivatives

Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use…

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Q: Use a numerical solver and Euler's method to obtain a four-decimal approximation of the indicated…

A: Here we have to use Euler's method to obtain the four-decimal approximation of the indicated value.…

Q: Find the area of the curve: r² = 16 cos 20

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Q: dy dx x3 2+y²

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Q: Calculate the indefinite integral using Partial Fraction Decomposition. X √(x − 2)(x + 1) dx - galmi…

A: We can evaluate the given indefinite integral by using the partial fraction method.

Q: For the following, problems, find the volume generated when the region between the two curve is…

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Q: Calculate the discount on one bike if they decide to buy 10 bikes at the same time.   1.3.2…

A: This is basic algebra problem

Q: How is vector calculated? What techniques/rules are used to find vector equation?

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Q: need

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Q: 3 Approximate 2² +2) dx using 6 rectangles. 0 It is approximatley (Round final answer to 3 decimal…

A: Given ∫03xx2+2 dxSubstitute  u =x2+2→dudx=2x→dx=12x du:      =12∫1u du       =ln(u)2…

Q: Theorem (Lindelöf covering theorem): Let A be a subset of the Euclidean space R" and let f be an…

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Q: For the next two exercises, use the Ratio Test to determine if each series converges or diverges.…

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Q: 5. To obtain f¹(x) = -x +3+5, the domain of f(x) must be: A. x≤5 B. X25 C. x≤-3 D. x≥-3

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: ✓ z Find J 1+sin -cos COS In sin 2+cos z 1+sin-z In | In 1+cos - 2 1+0 +C +C +C

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Q: Evaluate the integral of ₁dx for P > 1, and determine whether it is convergent or divergent.

A: SOLUTION-

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: A) Evaluate the following integral dx (x - 1)(x-2)(x − 3) - , 10 points

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Q: Juliana invested $5,100 at 5.50% p.a. simple interest. How many days will it take for her investment…

A: Given :Juliana invested : $5100Rate 5.50% p.a.Grow up to $5310

Q: 3- show that the diff. equ. is homogeneous and Salve it (2x+34) dx +(y-x)dy = 0

A: To solve the given differential equation

Q: 1. An object has a mass m = P+1 3p+1 and density p= m P-1 Determine the volume v, where p = [K]…

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: Consider the initial value problem x' = 4x², x(0) = x0. For what value(s) of zo will the solution…

A: This question can be solved using the concept of differential equation.

Q: Q.1B) Prove that: Iff, Cos) dxdy - = sin (1) where R the region bounded by x + y = 1, x = 0, y = 0

A: We use the change of variable to prive the given equality

Q: Find S ³+1 ln ||+C In In | +C √²+1 None of the Above In||+C

A: We know, ∫dx/x= ln|x| ln|a| - ln|b|= ln|a/b| n*ln|a|=ln|an|

Q: 10. The function y = f(x) is shown where a 0 and c> 0, then a potential equation might be: A.…

A: Consider the graph

Q: Test the convergence and divergence of the following series, find the sum of convergent series.…

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Q: c- Show that the following limit does not exist (x² - y²) lim (x,y)-(0,0) x2 + y² 2

A: Given ; lim(x, y) -(0,0)[(x2-y2)/(x2+y2)]2.

Q: What function will you differentiate to get each function? 1. f(x) = 4x³ - 6x² - 10x + 1

A: Given function, f(x)=4x3-6x2-10x+1 Aim: To find  a such  function , whose derivative is f(x),…

Q: Q1. Find the half-range sine and cosine Fourier series for f(t) = t in each case. 0 < t < 2. Draw…

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Q: Compute the following limts. If the limit does not exist as a finite umber, please state so. In that…

A: Here we have to find the limit of a function.

Q: Express the repeating decimal as a fraction. 0.789626262626...

A: Let x=0.789626262... We need to express x in fraction. Note: '62' is repeating itself in x. The…

Q: For the function f whose graph is given below, state the following: y a. lim f(x) 818 b. lim f(x)…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Lance was excited when he saw a listing for a corner lot 30 meters on one end and 40 meters on the…

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Q: Mark on an Argand diagram the points representing the following numbers: (a) 2 (b) 3i (c)-i (d) 1+2i…

A: Plotting the given complex number in argand plane

Q: y' || = X y+x²y y(0) = −2

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Q: Solve the given differential equations: dy 1. 2+y² dx

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Q: For the following, problems, find the volume generated when the region between the two curve is…

A: The volume (V) of a solid generated by revolving the region bounded by y=f(x) and y=0 (x‐axis) on…

Q: Which of the following differential equations are separable? Select all that apply. 0 U 0 dy (y - 1)…

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