1. Plot 1/(x^2-1), x/(x^2-1), x^2/(x^2-1), x^3/(x^2-1) when x = -2 to x=2.  2. What are the similarities and differences in the graphs?

Q: 1) Find the general antiderivative of the function y = O 0.1Ln/x^3+x) + C O 10Ln|x^3+x| + C…

A: Given query is to find the integral.

Q: 2) Evaluate surface z dv where E is the region enclosed by the Z = x² + y² and the plane Z = 1

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Q: 5. Determine whether the series is convergent or divergent: 3√√n 1+3n³/2 n=1

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Q: Answer the following questions about the function whose derivative is given below. a. What are the…

A: Please see the below picture for detailed solution.

Q: Find the indefinite integral. x7-9 DOT dx 4

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Q: A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by…

A: If the parabola opens upward then the equation of the parabola is         x2 = 4ay

Q: Solve for the variable in each equation below. Gi (a) log(y 1) + log(y + 1) = log 8 -

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 9 -9 0 √√81-x2 dy dx

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Q: Translate the given system of equations into matrix form. x + y = z = 6 7x + y + z = 4 3x + N|M =…

A: To translate the given system of equations into matrix form.x+y-z=67x+y+z=43x4+z3=1

Q: tion true, or explain why it does not exist. (1 + c)" =2

A: NOTE: Refresh your page if you can't see any equations. .

Q: Convert the equation 8x² - 8y² = 6y into polar form. Express your answer as an equation r(0).…

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Q: Unless specified, all approximating rectangles are assumed to have the same width. Evaluate the…

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Q: Use the formula for the area of a circle to evaluate Answer: 6 Sv 9- (x - 3)2 dx. Round your answer…

A: we need to evaluate the integral by using the area of the circle.

Q: Using x-axis, (b) y-axis, or (c) the origin. (a) Is the graph symmetric with respect to the x-axis?…

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Q: Let g(x) = = f(t) dt, where f is the function whose graph is shown. = 8 6 4 2 -2 -4 2 4 f 00 8 (a)…

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Q: Question Determine a definite integral that represents the area of the region enclosed by one petal…

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Q: 6. The slope of the line normal to the graph of y = 2 In(secx) at x = is

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Q: Use the Root Test to determine whether the series converges. **** + 27 36 9 + 18 2

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Q: 11. Suppose the population of a town is 23,000 people in 2010. Write an equation for the population…

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Q: Find an equation of the tangent plane to +In (2x-2) at the the surface 2² point (1,1,1)

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Q: f(x)=x-lnx

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Q: + 4 -1 -3 1dz = -2 given below. -1 2 -1+ Q the limit definition of the definite integral to…

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Q: Number

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Q: 23. Suppose log5 (A) = x and log5 (B) = y. Express log5 √5A³ B4 in terms of x and y.

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Q: 4. Given the equation below, where x>0, b>0, b=1, then the solution for b in terms of x is Option 4…

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Q: Use a series to estimate the following integral's value. 0.3 √ 36²x² S 3e dx

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Q: Suppose that C = f(x, t) = 22te-(6-2)t represents the concentration (in mg/liter) of a drug in the…

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Q: The region between the x-axis and the curve y x2' 1 ≤x≤2, with density g(x) 11 6

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Q: Find and classify the critical points of f(x, y) = 3xy - x³ - 2y².

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Q: Find the x-intercept of the graph of y = ln(x-k) +2. Your answer will be in terms of k.

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Q: Find three positive real numbers whose sum is 36 and whose product is a maximu Enter the three…

A: Let three positive numbers are x,y,z

Q: Suppose that a particle moves along a straight line with acceleration defined by a(t) = t - 5/2 in…

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Q: 6 2 110 31 10- 20 6 X

A: I think it should be f(x)>0 or f(x)<0 or f(x)=0. Please see the below answer.

Q: Consider the function f(x) = 5x² - 6x +9, 0≤x≤9. The absolute maximum of f(x) (on the given…

A: ginen  f(x)=5x2-6x+9for critical points put f'(x)=0dxndx=nxn-1

Q: late the limit algebraically. h² lim h→0 3h + 4h² OOOO answer does not exist, enter DNE If the limit…

A: Given query is to find indicated limit.

Q: 26. Let H(t) = 5+2e-t. Find the exact value of H-¹(9).

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Q: Find the value of lim x →0 if the limit exists. 1. limit does not exist 2. limit 3. limit 4. limit…

A: if we put x=0 it is 00  form there for use l'hospital rule limx→0(2x+1)2-16x=limx→0∂…

Q: Let F(t) = (3t² + 5, 2e-5t, 3 sin(3t)) Find the unit tangent vector T (t) at the point t = 0. Round…

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Q: Determine the graph corresponding to the given vector equation. r(t) = (6t)i + (42-6t)j, 0≤t≤7…

A: Let's solve vector value function and integral.

Q: Use the Ratio Test to determine if the series converges. 80 7(k!)² Σ 4(2k)! k=1 Select the correct…

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  substitute k+1…

Q: 0 -3√/2 √√3 -2 Given g(x) = 0.5x4 + 4x, determine the x-value for the absolute minimum of the…

A: To find absolute minimum.

Q: A SPERICAL SNOWBALL IS BEING MADE SO THAT ITS VOLUME IS INCREASING AT THE RATE of 8ft^3/min. FIND…

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Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y B) Write the equation for the tangent…

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Q: [3] Verify the following. [² (x² (x2 + 2x) dx = lim n- 2 Σταχ i=1

A: The given integral is ∫25 x2+2xdx

Q: For Problems 3-4, find the definite or indefinite integral, giving an exact answer for a definite…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Let A be a 2 x 2 square matrix such that 2 ^ (₁)-(₂), and 4 (²)-(3) A A 2 det(A). Hint: find the…

A: NOTE: Refresh your page if you can't see any equations. . it is given that

Q: Re-write the following exponential equation in logarithmic form. 11 3 b = Is equivalent to: log, (x)…

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Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and…

A: Please see the below picture for detailed solution. Note : As per rule I have to solve only 1st…

Q: Use the table to solve. X g(x) -2 1 5 a. (f+g) (4) = = B. (f-g) (2)- c. (²₁₂) (-2) = d. f - O to O 2…

A: To find the value of given functions

Q: 12. A laptop computer was purchased for $2500. After 2 years, the value of the laptop is expected to…

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