(a) Test the convergence or divergencc for the sequence {sinh(ln n)} and find lim sinh(ln n). n++00

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Q: 3. Determine f(x) = x2 + x-2 is continuous on the given interval (-0,+0) (show graph and its table o...

A: Here, the given function is: f(x)=x2+x-2 And the given interval is (-∞,∞).

Q: + Q&A Library 8. Determine the Taylor series for f(x) = sin x at x = T. ... 8. Determine the Taylor ...

A: According to our company's guidelines I can only answer first question since you have asked multiple...

Q: The dimensions x and y of an object are related to its volume V by the formula V = 6x°y. dV related ...

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Q: ( csch (2 sin 2x) dx V1-4x

A: We have to find indefinite integral

Q: -2 Select all the points at which the graph above is not differentiable O-4 ) -3 O-2 0-1 00 01 02 on...

A: 1.At sharp point of graph of function , function is not differentiable . 2.Continuity is necessary c...

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Q: Write the equation of the function g(x) that is transformed from the given function f(x) and whose g...

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Q: Use linear approximation to estimate f(3.85) given that f(4) = 5 and f'(4)= 6.

A: Given: - The values, f(4)=5 and f'(4)=6 To estimate: - The value of f(3.85) by using linear approxim...

Q: Find the maximum of f(x, y) = 4y + 7xy – 4x? on the square domain 0 < x < 8, 0 < y < 8. (Give an exa...

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Q: Find the arc length of the graph of the function over the indicated interval. 3/2 y : x² !!

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Q: 5. r(t) = (t°/3) i + (12/2) j, t>0 %3D 6. r(t) = (cos³ t) i + (sin³t) j, 0<t< a/2 %3D

A: This question is about finding vectors   k, b &amp; t   

Q: Given the combined differential operators for a given differential equation (D² + 16) D² (D + 10) De...

A: We have to find the general solution to the given differential equation.

Q: 5. Which of the following functions is NOT continuous everywhere? A. f(x)= mx + c, where m, c eR x² ...

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Q: Use sigma notation to write the Maclaurin series for the function. 6cosh x 6. (2k) !" 6. (2k) !" k=0...

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Q: Given the differential equation у" + 5y' — 14у %3D 7х2 езx sin(&x) Determine the differential operat...

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Q: Find the volume of the solid whose base is the region |x|+|y|≤4 and whose vertical cross sections pe...

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Q: Find the area of the surface generated by revolving the curve 1 V1 + eb", 5x 0 < x < 2 around the x-...

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Q: Determine the 8th term of the Taylor series expansion of f (x): %3D 1+r at a = 1 (-1) 256 (z-1)* 128...

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Q: Hw Find and Jw fok the following functions w-ex sincxty}

A: To find the partial derivatives for the given functions.

Q: dy - 4 2.

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Q: Plot the point: (r, theta) = (-1,330) The angle is given in degrees. Clear All Draw: Dot

A: Given

Q: (-1) cos[cosh (In ")]dr 4.

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Q: What are the units of each of the items below? kg dw - [ Select] meters BMI dh - [ Select ] BMI/kg B...

A: In this question we have to find the units of dw and dh.

Q: Determine the point(s) at which the given function f(x) is continuous. f(x) = 6 csc (6x) ... The fun...

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Q: Fitting a Polynomial to a Sequence Use difference sequences and matrices to determine the polynomial...

A: Solution

Q: 5. f(x) = 2x² – x + 6 for all values of x 6. f(x) = 5 at x = 2 x-2

A: On solving this we will get

Q: (i) |10-3x517

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Q: csch (2 sin 2x)dx 1. V1-4x

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Q: Calculate the divergence of cach of the following functions (a) r²î + y²§ + 2²k. (b) yzî + xzj+ xyk....

A: As per the instruction, we will answer only the first 3 subparts. For (a), For a given vector fx, y,...

Q: Which of the following represents the derivative of f(x) = 4x3 4 1? x2 Select one: 2 f'(x) = 12x² + ...

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

Q: Problem 3.1 Prove that if x is a positive real number, then LV[]] = [V]

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Q: tan (X) where : Let z=f(x,y) = (10 + 23x)y" where : 13 - e (t – 1) + tan'(t) , and y= (2- t) e'- 13(...

A: Here, the given functions are: z=f(x,y)=(10+23x)ytan xx=13-e2e(t-1)+tan-1(t)y=(2-t)et-13(t-1)

Q: At noon, ship A is 50 km west of ship B. Ship A is sailing south at 10 km/h and ship B is sailing no...

A: We have to find the rate of change of distance between two ships at 4:00 PM.

Q: 1. siny dx + (x - sin? y)dy=0 + ( 1+x)y = e -x sin2x

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Q: Use the inverse of the matrix A= 13 to decode the cryptogram: 51 72 27 38 27 36 38 57 59 81 42 61 En...

A: We will use the concept of inverse of matrix and then letter coding to decode the message

Q: Give an equation for the cylinder passing through (0, 2, 4) with the vertical line through (1,0,0) a...

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Q: Given the general solution to a differential equation and its initial conditions y (x) = C, e-3* + C...

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Q: Consider the function f(x)=x^5 - 5x^4 a. Find where the function is increasing and decreasing.   ...

A: Increasing and Decreasing functions : If f'(x)&gt;0 for every x on some interval ,then f(x) is incr...

Q: Which of the following statements is TRUE? a. If f '(3) = 5 and g '(3) = 4, then the graph of f (x) ...

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Q: Consider the function on the interval (0, 2x). f(z) = 5 + cos(x) (a) Find the open intervals on whic...

A: Here, the given function is: f(x)=π2+cos (x)⇒f'(x)=-sin x

Q: Let h(x) = f(x)g(x). If f(x) = –3x² + 2x – 3 and g(x) = –3x² + 4x + 3, what is h' (1)? Do not includ...

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Q: 2. - 4

A: The given integral,    ∫dyyy8-4

Q: valuate the integral by reversing the order of integration. r/2 cos(x) V (16 + cos?(x) dx dy larcsin...

A: In this question we will use basic concepts of calculus i e concepts of double integration. We will ...

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the con 7dx x(x...

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Q: valuate the integral. (Remember to use absolute values where appropriate. Use C for the cons x² – x ...

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Q: c. the area of the parallelogram formed by the vectors a and b 3. Two forces of 40 N and 50 N act at...

A: The given data is: F1=40 NF2=50 Nθ=60∘  To determine the resultant and equilibrant of these forces.

Q: Find the radius of a cylindrical can (with a lid) to contain 1728 cm³ of water, using the minimum am...

A: volume of cylindrical can is given by             V = πr2h          where r = radius of cylinder    ...