1. Evaluate the following integral by reversing the order of integration 1=ƒ ƒe³ dydx+ƒ ƒe³dydx 0 -1 -X

Q: 2. A piece of wire 60cm long is bent into the form of a right triangle having hypotenuse 25cm. Find…

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Q: What is the value of x that will give g(x) = 4x³5x² + 4 a relative min value?

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Q: 1. If the following statement is true, give a proof showing it to be true. If it is false, disprove…

A: Firstly the statement is false. So for that we will consider two positive integers which are not…

Q: Find the exact value of the expression. 6251/In(5) Need Help? X Read It Master It

A: We know, 1 = ln(e)  Hence, 1/ln(5) = ln(e)/ln(5) = ln5e Now, 625 = 54

Q: Find the area of the region. Use a graphing utility to verify your result. -π/4 Jπ/12 4 3 2 1…

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Q: 3. y²dx + (3xy + y² − 1)dy = 0

A: Given : y2dx+3xy+y2-1dy=0 To Find : General solution of given differential equation . Note :…

Q: X₁ X₂ 0.S 1.5 2.5 -1.S -S2 S -4-12S ] 1 1 4 3 2 375 1.25 0.75J

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Q: A lake is stocked each spring with three species of fish, A, B, and C. Three foods, I, II, and III,…

A: A lake is stocked each spring with three species of fish, A, B, and C. Three foods, I, II, and III,…

Q: θ = cos^-1[sin(LT1) sin(LT2) + cos(LT1) cos(LT2) cos(LN1 − LN2)] How does this formula go with…

A: Consider the figure as our Earth. O is the center of the earth Point P on the earth surface has…

Q: Let W(x, y) mean that student x has visited website y, where the domain for x consists of all…

A: We have given that, Wx, y=student x has visited website y. Here domain for x consists of all…

Q: Find the time (in min) required for an object to cool from 320°F to 260°F by evaluating the…

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Q: Determine the nth term formula for the number of square tiles that will be in the nth figure. a₁ A)…

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Q: d) Explain in your own words how Heun's method works.

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Q: Solving Systems Use Gauss-Jordan reduction to transform the augmented matrix of each system in…

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT ***** Find the equation of the circumference of radius {√2 2…

A: Let the equation of the circumference be      (x - a)2 + (y - b)2 = r2 [general equation of a circle…

Q: Prove that the difference of two rational numbers is rational

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Find the equation of the circle that passes through the points…

A: Given points (-1, -4) and (2, -1) and line  4x+7y+5=0

Q: Can you solve question 8

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Q: 7. Use the Chinese remainder theorem to solve this problem: N = 1 (mod 3) N = 4 (mod 5) N = 6 (mod…

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Q: Given the differential equation (x²y² + x² + y² + 1) dx + x² dy = 0 with the condition y(1) = 1: 1.…

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Q: If cos x = sin 2x = cos 2x tan 2x 4 5 csc x < 0, then

A: Given: cosx=45 and csc(x)&lt;0 To find: Values of sin2x, cos2x and tan(2x).

Q: Problem 3 points. Give the definition of the image of a function f. : S→T, using the curly-bracket…

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Q: Find a polynomial f(x) of degree ≤ 6 with integer coefficients such that for every integer n, we…

A: Using Euler Totient theorem.

Q: (x²y² + x² + y² + 1) dx + y² dy = 0 where: Show if it is exact, variable-separable, or first-order…

A: Separation of variables, differential equations

Q: Consider the example of the Binomial. distribution X1 0 0.004 P (X=x) 2 0.041 0.165 0.329 4 0.329 5…

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Q: Find the average value of the function over the given interval. (Round your answer to three decimal…

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Q: 5. Prove that if n is a positive integer, then 51 (6-1).

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Q: (a) Directly use the Bolzano-Weierstrass theorem (Theorem 2.3.8) to prove that every Cauchy sequence…

A: Details attached in the next step.

Q: 7b. Suppose m is a natural number and 4 m and 10 m. Can we conclude that 40|m? If so, prove it. If…

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Q: f(x) = 5x² + 6x + 15 What value of x will minimize it?

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Q: Find the indefinite integral by making a change of variables. (Hint: Let u be the denominator of the…

A: Solution :-

Q: You decide to make monthly payments into a retirement fund earning 4.75% compounded monthly.  Note:…

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Q: Let R be the region in the lower half of the circle of radius 2 centred at (x, y) = (2,6). The…

A: The equation of the circle whose center at 2,6 and radius 2 is x-22+y-62=4 The lower half of the…

Q: 10. A sample of tritium-3 decayed to 94.5% of its original amount after a year. (a) What is the…

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Q: Find the centroid of the volume generated by rotating the area below around the x axis. Units are in…

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Q: Use the value of the given hyperbolic function to find the values of the other hyperbolic functions.…

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Q: 3. Let g be a primitive root for Fp. ) Suppose that x = a and x = b are both integer solutions to…

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Q: Prove that √2 +1 is irrational

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Q: 10. Let a and b be natural numbers that are co-prime. Prove that (b-a) and b must also be co-prime.

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Q: The sum of 2 positive numbers = 70 Find the smallest possible sum of their squares.

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Q: b) tan² + tan 0-2=0 0≤0<2π

A: (b) The given equation is tan2θ+tanθ-2=0 Substitute tanθ=x. x2+x-2=0 Using the discrimant formula,…

Q: Look for a positive number x such that "16 times the number" added to its reciprocal, is s small as…

A: Positive number for which the function is minimum

Q: X₁ 4-C X 3 0.S 1.5 2.5 - 1.S -5.25 -4-12S [= 1 4 2 375 1.25 0.75 1 3

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Q: What is the value of x that will give g(x) = 3-13x² - 6x³ a relative min value?

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Q: 10. Sides of a triangle are 17, 10 and 9 cm long. Find the volume of a solid generated by rotation…

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Q: 1. Find and Sketch the domain of the function: f(x,y)=√x + Determine the range of the function as…

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Q: 1. Find the work done by the force F(x, y, z) = (y² − z²)i +2yzj — x²k on an object moving along the…

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Q: Alicia likes to fence 3 sides of a rectangular lot for his cat. The 4th side of the lot will be a…

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Q: Use implicit differentiation to find dy dx In(xy) + 8x = 25 Need Help? Submit Answer X Read It dy dx…

A: Given that lnxy+8x=25

Q: Imagine that you are designing a taggant that will be in the form of a cube with six layered colors.…

A: As 1st part is already answered so I am answering 2nd part