6. Sketch the graphs of y = cosh x and y-axis, x= In 2 and x-axis. Shade the region bounded by the curves. Find the volume of the solid that is formed by revolving the region shaded about the y-axis.

Q: Find all possible values of x such that In(x) + In(x + 1) = ln(2). If no such values of x exist,…

A: lnx+lnx+1=ln2

Q: If f (x,y,z) = (x?y + y'z)-/3 find the degree of homogeneity if it exists. Enter the answer in the…

A:

Q: Find f. f '(x) = sqrtX(6 + 5x),    f(1) = 11

A: Given;   f '(x) = sqrtx(6 + 5x),    f(1) = 11

Q: Determine if the following pair of planes are parallel, perpendicular, or neither. Explain your…

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Q: 16 – 8x f(x): x2

A: Follow the procedure given below.

Q: Determine the way in which the line [x, y, z] = [2,−3, 0] + k[−1,3,−1] intersects the plane[x, y, z]…

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Q: Quly Please Solve the tollowing the paots of gntegoation dt 2 t#3 2t+1 dt (モ+4)t+2) (= हवंये स

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Q: Trigonometric Groups 3. S sin³x cos5xdx 4. S Vtan x sec*x dx

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Q: 9. Calculate y' for y +2xy = 3x-2y %3D

A:

Q: 2 For the function f(x) = -x', find f'"(x), f'"(0), f'"(1), and f"(- 1).

A: To find the double derivative for the given function.

Q: Given sinα=0.771 and sinβ=0.716 with both angles' terminal rays in Quadrant-I, find the following:…

A:

Q: The outline of a rugby ball has the shape of + = 1. The ball itself is the y2 30 16 revolution of…

A: I am attaching image so that you understand each and every step.

Q: A table of values for f, g, f', and g' is given. f(x) g(x) f '(x) g'(x) 3 4 6 2 8 5 7 3 7 2 7 9. (a)…

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Q: (d) (e) %3D II

A:

Q: find f"(x). Then find f''(0) and f''(3). 1+x For the function f(x) = f"(x) =|

A: f(x)=x21+xf'(x)=x21+x'       =x2'1+x-1+x' x21+x2      =2x1+x-1· x21+x2      =2x+x21+x2 Further,…

Q: Find the derivative of the logarithmic function. 6 + y = In

A:

Q: Find the absolute maximum value of f(x) = x² – 2x + 12 over the interval [0, 4]

A: Use critical value and end points for absolute maxima and absolute minima.

Q: The equation of motion of a particle is s = t – 12t, where s is in meters and t is in seconds.…

A:

Q: S 3n? + 2n + 1 n2p-1 + 137 n=1

A: The given series is: ∑n=1∞3n2+2n+1n2p-1+137 Let, an=3n2+2n+1n2p-1+137, bn=n2n2p-1=1n2p-3; n≥1

Q: Consider the rule f which maps elements in the set A into the set B and which is illustrated below.…

A:

Q: Evaluate the following limit: 2x lim () 14x x00 14x+5 Enter -I if your answer is -o, enter I if your…

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Q: 3. Given a function F(x) = xVx+6. (a) Find the intervals of increase or decrease. (b) Find the local…

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Q: Suppose that , g(t) dt = v2. Find g(t) dt b. du а. -3 g(r) dr [-g(x)] dx d. с. -3 V2

A: Note:as student asked only part A,B so I solved as per requirement.

Q: Determine whether each improper integral converges or diverges, and find the value of each that…

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Q: 19 The number (B) of births of a city in the nth year after 2010 is estimated by B = 10…

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Q: Find f. f '(x) =     (6 + 5x),    f(1) = 11

A:

Q: Suppose that f is a twice differentiable function and that its second partial derivatives are…

A: answer is in next step

Q: The antiderivative of the function f(x) = x2 + 9x is. -5 + 18.0x? + c -5 4.5x? + c -9 + 2.5x² + c -5…

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Q: Evaluate the following definite integral. 1 5. (2x + 7)2

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Q: nd d²x/dt² as a function of if 4 = 7x sin x.

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

Q: The enclosed area between y= 2 x and y= 6/x is evaluated by

A:

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. 4· 10…

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Q: Determine the instantaneous velocity of the object when t = your answer. 3. Include units on

A: Instantaneous velocity involves derivative.

Q: Let u = 3 - i, w = –1+2i and z = 2 – 3i, where i is the square root of -1. What is (u + w)z? O 13…

A: Given u=3-i, w=-1+2i & z=2-3i To find (u+w)z

Q: 2. Show that the equation 2x + sinx 0 has exactly one real root. (Hint: Step 1 show that the…

A: Solved below

Q: i) The area of the surface obtained by the rotating the curve y=V 36-x, -3<x53 about the x- axis is…

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Q: 'ax+b 1) g(x) ) (a and b are constants) = sec ax-b

A:

Q: 2. A 21-ft ladder leans against a building so that the angle between the ground and the ladder is…

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Q: Find the absolute maximum and absolute minimum values of f(x) = 3x^4 +4x^3 −12x^2 +1 on the given…

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Q: For the function f, use composition of functiol 7f(x) + 7 Substitute f (x) = 6. 6. 7x-7 f(x) = 7x+…

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Q: 1 converges or diverges. As part Let b be a real number with b > 1. Determine whether 1+ bk k=0 of…

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Q: 1) Are the following functions analytic? a) f(z) = z z b) f(z) = z + z?

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Q: Find the limit or show that it does not exist. V1+4x6 (1) lim x- 2- (2) lim (V9x2-5x+3x

A: 1. limx→-∞1+4x62-x32. limx→∞9x2-5x+3x

Q: Find the absolute maximum value of f(æ) = [0, 5] x2 – 2x + 12 over the interval

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Q: iven the given cost function C(x)=5950+360x+1.4x^2 and the demand function p(x)=1080 Find the…

A: Follow the procedure given below.

Q: 2 2 3 The integral 0, dxdy = + 6 6. 3 y

A:

Q: Activity 1.2.3. Consider a moving object whose position function is given by s(t) = t², where s is…

A: We need to find average velocity.

Q: A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will…

A: A rectangular plot of land is to be fenced in using two kinds of fencing.Two opposite sides will use…

Q: 28./2 р< 3, п/2< ф< п T

A:

Q: 4 Se + 5x* + 10 cos x + 2)dx 5e" + x° + 10 sin x + 2x + c 5et + x 10 sin x + 2+c - et x° + cos x + 2…

A: