h(x) = tan(x' sinx) sinx (b) y= - V1+ cosx

Q: Given the function below, determine if the function is continuous at the point I = - 3. If not, indi...

A: The given function,   f(x)=x2-9x+3

Q: The total stopping distance T of a vehicle is shown below, where T is in feet and x is the speed in ...

A: This is a problem related to calculating the rate of change in the numerical form and percentage for...

Q: J sin³ycos ydy. Evaluate: cos y A cosy C 6 8 cosºy B cosoy +C 8 6 c) none of the given choices cosºy...

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Q: 8a. Consider the function h(x) = V2x – 1. Find functions f (x) and g(x) so that f(g(x)) = h(x). %3D ...

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Q: 1 Sketch of the region enclosed by the given curves and find its area: (a) y = cos x, y=cos?x, 0<xSn

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

Q: Find a value of c that makes the following function continuous at x = 0. Explain why the value of c ...

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Q: Find the length of the transverse axis if the length of the semi-transverse axis is 55.

A: This question can be solved if we know the relation between transverse axis and semi transverse axis...

Q: Suppose lim f = 21 and lim g = 12. Select the correct value for lim (f g). エ→6 O 33 O1.75 09 O 252 O...

A: First I have written a rule of limit of product of two functions , using it find the required limit....

Q: m If f is a probability density function of a continuous random variable x over [a,b], then the medi...

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Q: And an equson of the line that pa es through the polnt and has the Indicated slooe. Polnt Sope 4. (-...

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Q: Consider the function f(x) = 3- 7z, - 4 < ¢ < 1. The absolute maximumn value is and this occurs at T...

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Q: If f(1) = 12 and f '(x) ≥ 1 for 1 ≤ x ≤ 6, how small can f(6) possibly be?

A: The Mean Value theorem says, If a function is continuous on some closed interval [a,b] and different...

Q: Simplity and write the final equation in general form. y-5- -1x -(-7)) The eution of the parle e

A: We need to simplify the equation.

Q: Differentiate f(r) COS (5c). Use exact values.

A: Given that f(x)=cos-1(5x) Find f'(x)

Q: "Given vectors A = and B = , find A dot B. " QUICKLY

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Q: f(x)=3x^5−10x^3+5, on what intervals is f′′(x)>0? Enter the (disjoint) interval(s) below using 'U' ...

A: Given query is to find the interval where f" is greater than zero.

Q: The annual sales S of a new product are given by 6000t2 7 + t2' where t is time in years. Osts 3 (a)...

A: The answer is in below steps.

Q: Consider the parallelepiped with adjacent edges u = 7i + 7j + k v = i+j+ 3k w = i+ 7j + 5k Find the ...

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Q: Find the Taylor series for f(x) centered at 1 if f(n)(1) = (-1)"(n+1)! In(7)7"

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Q: Find d^2y/dx^2: y^3=6x^2

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Q: Graph the piecewise-defined function. x-3 if x55 f(x) = 2 if x>5 Choose the correct graph. Oc. OD. O...

A: here is the function divide in two part first &lt;5  and second is &gt;5 so for &gt;5 function is co...

Q: (a) Find the intervals on which f is increasing or decreasing. (b) Find the local maximum and minimu...

A: Given: f(x)=x4-2x2+3

Q: H.W find the Domain and Range 1. y = v2x + 7 2. у%3D15- 2х-х? 1 x+1 3. y = 4. у3 Vx2 + 4x x - 1

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Q: Find all local extreme values of f(x) = r + 4x² + 6x 10. The FIRST local extreme value, moving from ...

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Q: To find the x-intercepts, let y be zero and solve for x. (0) x- 49x %3D 0 = x(x2 - 49) = x(x2 - 72) ...

A: From the second step we see that

Q: dy x(2lnx+1} dx sin y + ycos y

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Q: A particle moves in a straight line according to a law of motion s = f (t), t> 0, where t is measure...

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Q: Væ = 7, – 7

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Q: H.W: Find y, y"and. y" for the fullowing -2X -xe 3- y=a Sin 3X 一ズ 2.y=eInx 4.y= In(Sex. = In (Sex +t...

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Q: 134 y'=y*(x+1), y(0) = 2 ||

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Q: Two cars are headed for the intersection of the two roads. If Car A is travelling south at 45 km/h a...

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Q: Maximize Q= xy, where x and y are positive numbers such that x+8y=6. ... Write the objective functio...

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Q: Graph the inverse of the given one-to-one function. Choose the correct graph below. Ay OA. OB. Oc. O...

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Q: Find the volume beneath the paraboloid z = 25 − x2 − y2 and above the xy-plane

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Q: Given cost and price (demand) functions C(q) = 120q + 44,000 and p(q) = - 2.1q + 880, What price sho...

A: To find the maximum profit.

Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. f(x) = 2...

A: We have to find the Maclaurin series for the given function                                         ...

Q: Intervals where g is concave down: x-values where inflection points occur:

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Q: 18xy ive of the function g(x, y) x-y abolic notation and fractions where needed.)

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Q: Find the measures of the angles of the triangle whose vertices are A(1,0), B(2,1), and C(1,–2). 4.

A: Given : A(1,0) B(2,1) C(1,-2)

Q: sin(3x)sin(4x)dx Ssin(3x)cos(4x)dx Jcos(3x)cos(4x)dx

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Q: Find the volume of the solid generated by revolving the region bounded by the parabola y = - and the...

A:   Volume can be calculated as:V=2∫03 A(x) dxV=2∫0 3πR(x)2dxV=2∫03π-x292dxV=2π81 ∫03x4 dxV=2π81 x5503...

Q: What is the derivative of y = x3/x3 with respect to x? [(dy)/(dx)] =

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Q: A solid is formed by revolving about the y-axis, the area bounded by the curve x³=y, the y-axis and ...

A: Given: - A solid formed by revolving about the y-axis, the area bounded by the curve x3=y, the y-axi...

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: topic - vectors

Q: sider the parallelepiped with adjacent edges u = 7i + 7j + v = i+j+ 3= w = i+ 7j+ 5 the volume. i

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Q: --2 -3- [ f(2)dx = f(x)dæ = to

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Q: Find the length of the curve y=x^3/2 from the point (1,1) to the point (4,8).

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Q: At which of the marked values of x is A. F(X) greatest? x= B. F(x) least? x= C.F'(X) greatest? x=

A: According to Bartleby's guidelines we can solve only first three subparts of a question. Here are th...

Q: Find the radius of convergence, R, of the series. n = 1 5,יל R = Find the interval, I, of convergenc...

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Q: Find a power series representation for the function. (Give your power series representation centered...

A: Use ratio test for checking the interval of convergence .