If 1– cosh x f(x) : 3+ cosh x then f'(x) =

Q: [10] Find y' of arcsin x/y + arccos y/x = 1

A: Differences

Q: Use Newton's Method with the function f(x) = x² – 2 and initial value xo = 3 to calculate æ1, x2, X3...

A: Newton's approximation method is used .  x1,x2,x3 are calculated or n =0,1,2 respectively.  

Q: (5+ln æ)2 Evaluate S -d.x. Give your answer as a simplified fraction if necessary. The value of the ...

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Q: Finding the work done in lifting a bucket. A 10 lb bucket attached to a rope is lifted from the grou...

A:

Q: 4. Find the equation of the plane that passes through the point (5, –1,0), and is per- pendicular to...

A: Let's find. 

Q: Regarding y as the independent variable and æ as the dependent variable, find the- y* + 5x²y² + 4yxª...

A: Given: - The curve is,y4+5x2y2+4yx4-2y=83 at the point (2,1) To find: - The slope of the tangent lin...

Q: In the following questions, determine the 7x3 + 9x behavior of h(x) – x³ + 10x If a limit does not e...

A: Given query is to find whwrw fui is undefined , vertical asymptot and hole.

Q: y°dx-(xy + y° \dy = 0 Let the substitution v=2; y=Vx; dy=vdx+ xdv

A: y2dx=xy+y2dy

Q: 9. Use the Intermediate value theorem to show that f (x) = 2x³ – 3 has a zero in the interval [1,2]....

A: Given that: f(x)=2x3-3 in the interval [1, 2]

Q: Area of a surface of revolution for y= f(x). Let f(x) be a nonnegative smooth function (smooth means...

A: Given:- f(x) =x3/6  To find:- Setup the integral that will give the area of the surface generated b...

Q: y''=-4cos(2x)+2sin(2x), Eliminate Arbitrary Constant

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Q: 6. PARTIAL DERIVATIVE OF MULTIVARIATE FUNCTIONS Find and for the following function. z* sin (y") + x...

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Q: Find an equation of the tangent plane at P = ( 2, 3, to the given surface. 8x? + z?e"-* = 41 (Expres...

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Q: Integrate the rational function by partial fraction (decomposition): 2-9-dx r3-9x

A: Let I=∫x2-9x-9x3-9xdxApply the Sum Rule:  ∫fx±gxdx=∫fxdx±∫gxdxI=∫x2x3-9xdx-∫9xx3-9xdx-∫9x3-9xdxI=∫x2...

Q: The period of y = 3 cos 5x is 2 2 /5 2 /3

A: Given that: y=3cos5x

Q: .A: The integral of the following function: In(sin² x) dx tan(x) ay be expressed as: A In®(sin x) + ...

A: Topic:- integration

Q: (-x³ + 3x² + 1) dx 2) (x* + x³ – 4x² + 6) dx -2 3) 12x + 13) dɔ 4) -x³ + 3x² – 2) dx

A: Follow the procedure given below.

Q: 1000 A B

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Q: The tank in the form of a right-circular cone of radius 11 feet and height 15 feet standing on its e...

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Q: dy 9x using 5. Find the slope field of dx GeoGebra.

A: This is a problem of the slope filed plotting. In this given question dy/dx is representing slope of...

Q: Evaluate the expressions. a) 3-4 b) 9-2 a) 3 (Type an integer or a simplified fraction.) II

A: Evaluate the expression  a) 3-4      b) 9-2

Q: 2. Form the differential equation by eliminating constants a and b from y? = a(b – x)(b+ x) + 59.

A: y2=a(b-x)(b+x)+59

Q: Agree. Disagree 4. If lim f(x) = 0o, then lim f(x) does not exist. Justify:

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Q: Pumping Liquids From a Container An engineer, for example, may want know how much work is required t...

A: we can solve this question with the help of integral  we took an element  of thickness dy in the con...

Q: general function M(x, y) or N(x, y) so that equation is exact.

A: We will find the function (general). 

Q: 1.Determine if the following statements are mathematical or not. Provide solution.

A: Given that:                      

Q: Find the points on the curve y 2x3+ 3x2- 12x + 9 where the tangent line is horizontal. (x, y) (small...

A: The above question is answered below

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it d...

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Q: Find the area of the region that lies inside the first curve and outside the second curve Note: show...

A: The given curves are: r=2+sinθ         and        r=3sinθ

Q: 1. A function f(x, y) is homogeneous of degree 7 in x and y if and only if, , 5x -2y' 2. The functio...

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Q: 40 . Find the sum 2 (2k + 3) , arithmetic sequenc, use S k=1

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Q: 2. Use cylindrical shells to find the volume of the solid generated when the shaded region is revolv...

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Q: 3. To find the width ofa river, a surveyor on one side of the river measures the angle to a tree on ...

A: Given problem To find the width of a river, a surveyor on one side of the river measures the angle t...

Q: II. Solve for the derivatives implicitly. 5. 42'y" - 2x = a" + 4y". 6. = 1

A: Given that: 5. 4x2y7-2x=x5+4y36. xy3=1

Q: 1. Iff (x) = x² - 4x + 9, find (a) f(1), (b) f(-3), (c) f(0) If f (x) = x-x, show that f (x+ 1) =f(-...

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: y = 3x² – 1 from x = 0 to x = 1 . 3. Find the exact arc length of the curve

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Q: 1. cos x |? ecosx sin xdx

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: 5) 3tan-1x + sin-x = 4

A:

Q: y'dx-(xy + y* \dy = 0 1. Let the substitution v=²; y=vx; dy=vdx+ xdv

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Q: 1. S (7x³ + 4x² ) dæ

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Q: 1. y'dx-(xy + y* \dy = 0 Let the substitution y=2; y= vx; dy=vdx+xdv

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Q: Find the limit of the rational function (a) as x→oo and (b) as x- 0o. Write oo or - 0o where appropr...

A: Given, f(x)=5x+87x+7

Q: Solve the following second-order differential equation: y" + 4y' + 5y = 8x sin æ

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Q: Determine which of the following Differential Equations below would use the following general form f...

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Q: The function in the figure below has f(4) 21 and f' (4) = 1.8. Find the coordinates of the points A,...

A: Given that: f(4)=21, f'(4)=1.8

Q: (1+2 In æ)4 6.

A: topic - indefinite integral

Q: Use the Law of Cosines to determine the indicated angle ?. (Assume a = 126.5, b = 60.7, and c = 155....

A: Given: a=126.5b=60.7c=155.5

Q: 213 +1 dt 3 (* +2) 1.

A: Solving the problem by doing the substitution.   NOTE :: As per our Expert guidelines we are suppose...

Q: Evaluate the following expression. sin 5 O 1/2 -1/2 V3/2

A: Topic = Trigonometry

Q: deteremine the solution of the following equations using the methods in solving for solutions of dif...

A: Differential equation problem   , v =  y/x   form