Find the indefinite integral. (Use C for the constant of integration.) Sinces In(e8x - 5) dx

Q: Use l'Hôpital's rule to find the following limit. lim (In 6x- In (x+4)) X→∞ lim (In 6x-In (x+4)) =…

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Q: Find an equation of the plane with point P (2, -1, 3) and containing the line L: x-3 y+4 z-5 -6 10 =…

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Q: Solve for the general solution: 01--0.9+ Cel20/30) 01-0.9+ Cel-20/30 OI--0.9+ Cel-2/300) O1-0.9+…

A: To solve the given differential equation

Q: The polynomial of degree 3, P(x), has a root of multiplicity of 2 at x = 1 and a root at x =…

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Q: Determine whether each statement is true or false. You have one submission for each statement. (a)…

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Q: intercepts. f(x) = (x + 1)²(x-4)²(z - 6)

A: Topic = Functions

Q: The linear density p in a rod 5 m long is Pave = 11 x + 4 Find the average density Pave (in kg/m) of…

A: The linear density of a 5 meter road is given by: ρ=11x+4 kg/m

Q: Differentiate f(x) = 8√√/5x6 + 6x¹. Simplify your answer and enter it without fractional or negative…

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Q: On what interval(s) is the function f(x) = x55x4 + 15 both increasing and concave down? (Enter your…

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Q: Find two points where the curve x² + 2xy + y² = 97 crosses the x-axis. The tangents to the curve at…

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Q: Let f(x) = = f'(x) = = /3x² + 3x + 2 2

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Q: 7. Use the given information to find the indicated probability. P(C) -0.6, P(B)-0.5, P (CUB)-0.7,…

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Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

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Q: Find the exact length of the curve. =x²-In(x), 1≤x≤4 2

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Q: 2. Evaluate the improper integrals or show that they diverge. Make careful use of limit notation.…

A: Please see the below picture for detailed solution.

Q: Determine whether the vector field is conservative. F(x,y)-8+ Sad) O conservative O not conservative

A: Formula used: dxndx=nxn-1

Q: Convert the polar equation to a rectangular equation. 15 sec 0 5 sec 0 + 1

A: Given query is to convert the equation into rectangular form.

Q: Select each expression that has a sum of 4 4/12 3 1/5 + 1 3/7 1 11/12 + 2 1/4 1 3/6 + 1 1/2 + 1…

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Q: Find the absolute extrema of the function y = 3x3 2x on [1,1]. Type your answers as coordinates (x,…

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Q: mine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does…

A: Given query is to find sequence converges or diverges .

Q: 4) Prove sec Ꮎ + tan Ꮎ cote + cose = tan 0 sec 0

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Q: 26. y'"-8y +16y = 6xe4x + 2 + 16x + 16x²

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Q: Find an equation of the tangent plane to the given surface at the specified point. Z = = 4(x - 1)² +…

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Q: For problems 3-5 A math camp wants to hire counselors and aides to fill its staffing needs at…

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Q: A dog food producer reduced the price of a dog food. With the price at $10 the average monthly sales…

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Q: Find dy by implicit differentiation. dx dx 11 xey = x - y

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y₁…

A: Let's find definite integral of area.

Q: Let f(x) = 8x². (a) Find f(x)-f(-2) X+2 (b) Find f(x) = f(a) x-a

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Q: An equation relating the variables x and y, the values of x and y, and the value of dy value of…

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Q: -10 -8 -6 Answer: f(x) = -4 -2 20 16 12 8 4 -4 do -12 -18 2 9 8 10 Submit Answer

A: Given query is to find the function of the graph.

Q: 8) Prove sin (x+y) sin (x-y) = tan(x)+tan (y) tan(x)-tan (y)

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Q: Find dy if y=sin(x) cos(x). dr2

A: To find double derivative of given function

Q: ху 1-23 y =

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Q: 1 2. Find all critical numbers of ƒ(x) = x³ + x¹ −4x³+3. Classify each as a local max, local min, or…

A: On solving this we will get

Q: Find[r(t) u(t)] and[r(t) xu(t)] in two different ways. r(t) = cos ti + sin tj + tk, u(t)=j + tk (a)…

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Q: The polynomial of degree 3, P(x), has a root of multiplicity of 2 at x = 1 and a root at x =…

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Q: xp (&/s* + ©)sex f

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Q: 6. lim √x Inx x-0+

A: Given query is to find the limit of the expression.

Q: Write a polynomial with leading coefficient 1, degree 5, zeros at x = i and x = 2 — i, that passes…

A: To write a polynomial with leading coefficient 1, degree 5, zeros at x=i and x=2-i, that passes…

Q: Find the symmetric equations of the line that passes through points P (-2, 1, -3) and Q (-1,-4, 3).

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Q: 2. Given the rational function f(x) = make a sign diagram for the first derivative only, and find…

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Q: π 5) Find the exact value of sec- 8

A: Consider  secπ8   Formula  secx=1cosx

Q: 10 Monday lim 20 315 5 에요 글

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Q: Set up, but do not evaluate, an integral for the length of the curve. ST 2 x = 4 sin(y), Osys (C dy

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Q: Find the volume of the largest rectangular box in the first octant with three faces in the…

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Q: © 2r²y = y(y³ + 2x³) 02r³y y(y + 3x²) 1 y² = 2² a T

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Q: 8. Δ The series Σ(-1)* =0 k! (a) Converges absolutely (c) Diverges (b) Converges conditionally

A: D'Alembert test: Let us consider a series of real numbers, ∑k=0∞uk such that uk+1uk=l Then if l<1…

Q: Find the divergence of the vector field F. F(x, y, z) = In(7x²+ 8y²)i + 56xyj + In(8y² + 3z²)k F(x,…

A: In three-dimensional Cartesian coordinates, the divergence of a continuously differentiable vector…

Q: Which table represents a function? A B X y 2 3 -3 0 4-3 2 1 X y 1 2 1 3 1 4 1 5 D X -3 -2 -3 2 J y 0…

A: We have to find out

Q: (a) In(a + b) In(a)In(b) for all a,b > 0 OTrue False (b) In(a-b) In(a) + In(b) for all a,b>0 OTrue…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…