In(5x-9) lim x2 x3-8

Q: Example 52. x log x dx.

A: ∫ xlogxdx ∫f(x)g(x)dx = f(x)∫ g(x)dx - ∫ (f'(x))∫ g(x)dx)dx   ∫ xlogxdx =∫ (logx)(x)dx              ...

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 00 8n + n n...

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Q: Write an equation for the function graphed below.

A: A graph is given in the question which is passing through point-10,0, -4,0, 0,10 and 6,0 andx=-3 and...

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Q: Write tEf-1 without sigma notation. 6k

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Q: sin(0) Evaluate: lim 0→る

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Q: Evaluate the following integrals. Express the final answer in its simplest form and without negative...

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Q: Use any method to find the volume, V, of the solid obtained by rotating the region enclosed by the c...

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Q: Question 4 x³dx (x²+2) ³ 1 A 2(x²+2) ' 2(x²+2) ? 1 1 В 2(x²+2) 2(x²+2) ² 1 +C 4(x²+2) ' 2(x²+ 2) 2 D...

A: Here, the given integral is: I=∫x3(x2+2)3dx⇒I=∫x2x(x2+2)3dx...(1)

Q: Find the particular solution to the following equation y" + 4y' + 5y = 0 y(0) = 1; y'(0) = -3 Hint: ...

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Q: A pot of tea is heated to 100°C. A cup of the tea is poured into a mug and taken outside where the t...

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Q: 23 = 24 = a5 = In(n) lim = -0 n+ 1 Enter DNE if limit Does Not Exist.) Does the sequence converge ye...

A: The given sequence isln(n)n+1n=1∞ and an=ln(n)n+1.

Q: Evaluate the integral. Show all of your work. 10 (x-1)(x² +16)

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Q: Prove: If the characteristic equation of ay" + by' + cy = 0

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Q: Find the determinant of х 3 x2 5x2 O none of these

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Q: Find the interval of convergence for the given series. 2(n + 3)!(x + 13)* Select the correct respons...

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Q: Evaluate the following limits, if they exist, by using the graph 3 -4 -2 1 -1 -2 -3 -4 a) lim_ f(x) ...

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Q: Determine whether the statement is true or false. The ratio test is often useful to determine conver...

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Q: If f(x)=3x^2-2, and g(x)=f−1(x), what is the slope of the curve g(x)=f−1(x) at the point (10, 2)

A: Given f(x) =3x²-2  And g(x)=1-f(x) =1-(3x²-2) =1-3x²+2 g(x)=-3x²+3 For slope of curve g(x) different...

Q: dw at (u, v) = (5, 4) for the function w(x, y, z) = xz + yz - z 2; x = uv, y = uv, z = u. HINT: Use ...

A: w(x,y,z) = xz + yz - z2∂w∂x=z,x=uv∂x∂u=v∂w∂y=zy=uv∂y∂u=v∂w∂z=x+y-2zz=u∂z∂u=1

Q: For the function y f(x), it was found out that f"(C) = 0. What can be said that x=c ? critical point...

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Q: IV. Find the derivative of the given function. 1. u = t³(sin In t – cos ln t) 2. y = e-2* (1 + e-2x)

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Q: VAT4 : then what is dy2 x+4 dx dy а. 4x(x +4) dx dy 4Vx +8 dy = 8 Vx + 4 b. dx C. dx dy d. dx 4(x + ...

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Q: What integration technique can be used to integrate: sec2 xdx Integration Formulas O Trigonometric S...

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Q: For the graph, calculate the following quantities.  1) y'(5) if y(x)=f(x)g(x) 2) y'(2) if y(x)=((f...

A: Given the graph 

Q: y = x²(x – 5)²

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Q: Determine the convergence or divergence of the series. (If you need to use co or -co, enter INFINITY...

A: This is sequence and series problem

Q: Determine the amplitude, period and displacement for the given function, and sketch the graph of the...

A: Function y=32sin2x+π6 is given.We have to determine amplitude, period and displacement for the given...

Q: ne demand function for a company's product is p = 24e-0.59 where g is measured in thousands of units...

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Q: Let m(t) be a function with the values given in the table below. 1 t 2 3 m(t) | 100 1600 25600 40960...

A: topic - exponential function

Q: Write the first five terms of the recursively defined sequence. a1 =6, ak+ 1 %3D %3D a2 = 23 = a4 a5...

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Q: Question 10 evaluate ſ inx dx A secx - tanx + x + C B secx + tanx - x + C secx + tanx + x + C secx -...

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Q: The distance between the points (1,-2,1) and (5,1,4)

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Q: Find the indicated vector. (-1, 6), v = (1, -8). Find - u - 9v. O (-8, 66) O (5, 63) O (10, -78) O (...

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Q: 4. If cos 4A - -1/9, find cos A 5. If tan 4A - 24/7, find sec A

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Q: find u*v where theta is the angle between u and v. llull=4, lvl=16, theta=2pi/3

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Q: Express the sums in sigma notation. The form of your answer will depend on your choice for the start...

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Q: Given f(x,y) = eX cos y, Evaluate fy(2,0) O cos 2 O sin 2

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 9n + n 8n -...

A: The given series is: ∑n=1∞9n+n8n-1 Let, an=9n+n8n-1, n≥1

Q: Express what you have learned in this lesson by completing the sentences below. Use a separate paper...

A: To fill the blanks for limits of the function.

Q: A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels ...

A: Let s(t) denotes height  of a rocket at any time t. Then velocity of the rocket at any time t is giv...

Q: for f(x)= l x-1 l use the definition of deferentiablity to determine if f(x) is diferentiable at c=

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Q: To integrate v3 x2dy we apply integration by parts and in the form u dv, u is set as: 2 of 11

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Q: Find the limits of the functions below a) limr-3 x* sin x b) lim,

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Q: 3. The numerator of a fraction exceeds the denominator by 1. If 7 is added to the numerator and 2 to...

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Q: 1. f(x) = x2 + x – 1 for all values of x %3D

A: A detailed solution is given below

Q: 2 b.f V1 + x³ dx

A: The given integral is√(1+x3) limit from 1 to 2.

Q: Which of the following is the % error in computing the root of f(x) using initial root .x, = 21.32 a...

A: Given :initial root x1=21.32Second root x2=19.49

Q: What is the equation of the tangent line to the curve y = x2 – 2x + 1 at point (3,4)? a. y = -4x + 8...

A: as per guidelines I can only do first 3 subparts

Q: For each of the following matrices, either find its inverse or say how you know it isn't invertible....

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