6° x³ (x² + 8)² converges diverges dx Evaluate the integral if it converges. (If the quantity diverges, enter DIVERGES.)

Q: 1. Find the area between y= |x|^y=2-1x₁

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Q: Find the values of p for which the integral converges. (Enter your answer as an inequality.) p>1 8…

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Q: (a) Give the definition of line integral of a vector field over a path. (b) Compute the line…

A: Use line integral concept

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A: Graph of the function and equation of the function is given, we have to find its domain and range

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A: Solution of given question is written in below steps.

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Q: f(x) = 2x + 5

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A: As per the guidelines of bartleby the first question from multiple questions is answered at a time,…

Q: Question show that the limit does not exist. a Find the limit, if it exists, or b) lim (x,y) →(0,0)…

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Q: Sketch the graph of the function by first making a table of values. f(x) = 1

A: This question can be solved using the concept of plotting of graphs.

Q: dz 2 ē j ( W ± ¹ ) ( x (Z) e ³ (W+¹) Z dz 2 BO t AN Z 2dt = dz t = How did he get the value inside…

A: Multiply the term in power of exponential and then use am+n  = am * an Since, one term is constant…

Q: Find the limit. O 0-00⁰ 05 O 8 0 -15 lim x² + 5x -50 x + 10 X→-10

A: Our Aim is to find the limit of the expression given below:-limx→10 x2+5x-50x+10 -(i)

Q: Find the slope of the line tangent to the graph of f(x) = -x-1 at x = -3. Provide your answer below:…

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Q: A manufacturer knows that when he charges p dollars per unit for his product, he will be able to…

A: Given :Ax=5+x50x=380-20p

Q: Use a graphing utility to graph the polar equation. Between the loops of r = 3(1 + 2 sin(0)) 4 6 4 0…

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Q: Express lim Σ n → ∞i=1 3 n ( n 3i + COS 9/² 2 as a definite integral

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √5 -x, 3 ≤ x…

A: We know that surface area obtained by rotating the curve y=f(x) about x axis between x=a & x=b…

Q: Are the partial derivatives and gradients of a function the same, no matter your starting position?

A: Topic:- application of derivatives

Q: For f(x,y) = Inx+y³, find f( e 5,6). f( e 5,6) = [

A: We have to find f( e5 , 6)

Q: Find fx, f, fx(2,6), and f,(1, -7) for the following equation. f(x,y)=√x² + y² 4-0 (Type an exact…

A: We can solve this as follows:

Q: Determine the domain of the function of two variables. 7 4y - 2x² g(x,y)= {(x,y) | y*}

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Q: Let u = (8,4) and v= (9,4). Express 5u + 3v in the form (a,b). 5u+3v => (Simplify your answers.)

A: In this question we have to find the 5u+3v.

Q: 1₂ = 2√ x²+) ·cos (nwot) at = [² (-²) 2 O 25+ (1+) Cos (2nrrt) dt = 21- 1² (1-1) Los (n 2πrt) (t-1)…

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Q: Starting with the graph of y = e* write the equation of the graph that results from reflecting about…

A: NOTE: Refresh your page if you can't see any equations. . if the graph of  reflected about the line…

Q: Find the four second-order partial derivatives. f(x,y) = 3x³y - 5xy +9y fxx (x,y)=[ fxy(x,y)= fyx…

A: Let us consider a function f(x,y) Then fxx=∂2f∂x2, fyy=∂2f∂y2, fxy=∂2f∂x∂y=∂2f∂y∂x=fyx

Q: For each of the following functions, f(0), find f(1), ​and ​f(5).

A: Follow the procedure given below.

Q: Find the solution of the initial value problem y" + 6y + 18y = 0, v (-) = 0, v (²) y(t) = = = 6. How…

A: The given initial value problem is y''+6y'+18y=0  with yπ2=0,  y'π2=6. At first we solve the…

Q: 2. √ (e²x +e-2x) S 2 dx 1/

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Q: Find all relative extrema and saddle points of the function. Use the Second Partials Test where…

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Q: xy Find all second order derivatives for r(x,y)= 8x +9y xx (x,y) = Tyy (X,Y)= Exy(x,y)=ryx (x,y) = [

A: Given :rx,y=xy8x+9y

Q: = 4 is 3. The nontrivial analytical solution of +x=with x(0) = (a)3-e (b) 3+e (c) 3+es (d)-3+e…

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with   so here we have

Q: 1. Find the numbers for x where the function below is not continuous. Explain what type of…

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Q: ach function, determine whether it is a polynomial function. Function (a) v(x) = 8x³ +0.9x² (b) u(x)…

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Q: Find all relative extrema and saddle points of the function. Use the Second Partials Test where…

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Q: 3. Find V x F for F(x, y, z)= -x2 i + x² + y² -yz x² + y² =j+√x² + y²k.

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Q: Given f(x) = 5x³ + 7x + 7, write a limit representing the derivative of f(x) at x = −2. Provide your…

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Q: Find the limit. O 75 π O O' O O I 00 D8 - 150 lim sin¹. 5 x X→ 0 ¹7x

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Q: T ecosx sin2x dx = A. 0 B. e-¹ C. 4e-1 .e-¹-1 E. 2e-1 F. None of these.

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Q: 7. f sin4xdx

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Q: Sketch the region that corresponds to the given inequalities.   12x  +  6y ≤ 60   6x  +  12y ≤ 60…

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Q: Examine the graph of (a) below, and find the values given below. If the limi below CH does not exist…

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Q: Question 9 of 10 Consider the piecewise function f(x), where A is a constarit. >2 where 3 x? as a ad…

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A: The given data is: Gravel is being dumped from a conveyor belt at a rate of 40 ft3/min To find: How…

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A: I have stated the used formula in the solution

Q: Evaluate the limit using the Basic Limit Laws and the limits lim, tp/q = cpla and lim,→ck = k. (Use…

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Q: Write an equation (any form) for the quadratic graphed below 4 3 2 -5 -4 -3 -2 -1 y = 1 -2 -3 1 2 3…

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