If sinh(x) = 6 , then x = (A) 6 (B) In(6+ v35) (C) 6 + v37 (D) In(6 + V37) (E) 21

Q: Find equations of the tangent line and normal line to the curve at the given point. y = x* + 9e*, (0...

A: equation of a curve                    y=x4+9ex   we have to find - the equation of the tangent line...

Q: Find the exact value of: sin-1 (-) %3D %3D %3D 11

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Q: 19. State the limit definition of the derivative and use it to compute the following derivatives: d....

A: Find your answer below 

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Q: 14. у %3D Sin-1 (Зх - 1) -3 3 Od. T-9x +6x Зх-1 O0. -9x+6x OCT-9x+6x Oa. V1-(3x-1)

A: Let's find. 

Q: Section 2.9 p. 252/254 # 388 For the following exercises, find the derivatives of the given function...

A:

Q: Calculate S3, S4, and S5 and then find the sum for the telescoping series s - (,) 00 1 1 S = n +1 n+...

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Q: Suppose f (x, y) = 1æ² + 2ry– 3y, P = (1,-3), and u = (, 8). %3D 20 20 A. Compute the gradient of f....

A: function f(x,y)=x2+2xy-3y2

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A: Given :y=410esinh-1(x)

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A: Given query is to find the height of the mountain.

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

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Q: Solve the following DE, using Separable method. 1.50 point y'In ly+ x*y 0.

A:

Q: Let f (x) and 8(x) be antiderivative of h (x), The which of the following is true? (A None of the gi...

A: Note: If f(x) is anti- derivative of h(x) then  f'(x)=h(x) . Just use this definition and find that ...

Q: For each given combination of values of lim f(x) and f(c), sketch the graph of a possible ズ→C functi...

A:

Q: how

A: We will find the values of the term using derivatives. 

Q: Find the values of the six trigonometric functions of 0. (If an answer is undefined, enter UNDEFINED...

A: Solution )csc(θ) = 6   1 + cot2 θ = csc2 θ 1 + cot2 θ = 62 1 + cot2 θ = 36  cot2 θ = 36 - 1 Cot2 θ =...

Q: Solve for the value of "C" on the given differential equation below. Let y(1)=1 10 (x + y) dx - xdy ...

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Q: Estimate the area of the region between the function and the x-axis on the given interval using n = ...

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Q: After school, Shaquille and Reyna need to pick up their basketball uniforms and return to school for...

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Q: lim cos x f(x) f(x)

A: Answer :-  Given limit x tends to π then cosx is what.

Q: (a) For which value of "a" does this population grow ?

A: This is the question for the population calculations.

Q: if I<3, f(z) = 6r-9 if z23.

A:

Q: Use the given equation, which expresses price p as a function of demand x, to find a function f(p) t...

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Q: Complete the given 2 sets of tables of values to investigate the limits of a function lim f(x) If r«...

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

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Q: - (つチ:O47unyzut C. the 91-で Letc yintercepts, pUO'gt 3tUl-人 the horizontal osymptotes, DUコ ちさ

A: Let's find. 

Q: Evaluate the Limit. Use L'Hopital's Rule wl 2lnx – x + 1 lim х-1 х2 + хх — 2 - x→1

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Q: Suppose f (x, y, z) =D 를+끝, P= (1,2,4). A. Find the gradient of f. Vf * i+ j+ k Note: Your answers s...

A: Given :f(x,y,z)=xy+yz, P=(1,2,4)To find :  The gradient of f and the maximum rate of change of fat t...

Q: 1/5 Find the total area of the region between the x-axis and the graph of y = x' - X, - 1sxs8. The t...

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Q: Discuss the continuity of the function: x² + 2x-4 x -2

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Q: Integral

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Q: Use implicit differentiation to find the derivative of: 9. х2 +x Arctany %3D у + 4 (2x+Arctany)(1+y²...

A:

Q: Find the equation of the tangent line to the graph of y = 6" at x 1. NOTE: Round the slope to one de...

A: y=6x The point is at x=1: At x=1, y=61=6 So, the point is (1,6)

Q: sin²(x) + sin(x) To evaluate the xp- using basic formula of integration (without using cos (x) subst...

A: ∫sin2x+sinxcos2xdx  

Q: D. Tell if the function is continuous at given interval. 31-35 2x+4 [-2,2]

A:

Q: A soft-drink vendor at a popular beach analyzes his sales records and finds that if he sells x cans ...

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Q: Use the function value to find the indicated trigonometric value in the specified quadrant. Function...

A: Topic = Trigonometric ratios

Q: A drug trial is studying the efficacy of a new drug for thalassemia, a genetic disorder in which a p...

A: Given: ft=-t5+3t4-6t3-2t2+60t Note: Since the procedure is missing, we have used the standard proced...

Q: y = x- Sin 2x %3D

A: topic - derivative of a function

Q: 9. There is an infinite discontinuity at x = 0 and f(0) = -2 10. There is a jump discontinuity at x ...

A: 9. There is an infinite discontinuity at x=0 and f(0)=-210. There is a jump discontinuity at x=1 and...

Q: Solve the differential equation by variation of parameters. у" + у %3 csc х y(x)

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Q: र्® 5x

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Q: In(x) f f(x) = x10 ='(1) = 2, find f '(1). %3D

A:

Q: derivatives

A: Please refer to the image below

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Q: 2X 2x 1+4e* + 4e4x

A: We have to find solution of given integral.

Q: Solve the differential equation by variation of parameters. y" + y = sin x y(x) =

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Q: d/dx[(sin x)/(1 - 2cos x)] = (cos x - 2)/(1 - 2cos x)² Select one: O True O False d/dx(xe2x) = 2xe2x...

A: We know that; The Power law: ddxxn=nxn-1 The chain rule: fgx'=f'gx·g'x The Product rule: f·g'=f'·g+f...

Q: у" — 7у' 3D (2х — 1) sin 2 x -

A: