tan e is equal to cot e

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Q: cln /3 2e" Ve2a + 1 dx

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Q: Assume the following: lim f(r) = 3 lim g(x) = = 12, and lim h(x) = -3. %3D Compute the following lim...

A: The given limits,limx→cf(x)=34, limx→cg(x)=12 and limx→ch(x)=-3

Q: dz az B. Find əx and ay 3. x eY+ cos xy36xz+5x²

A: partial derivative

Q: (25/7 – 36 Evaluate the integral: (A) Which trig substitution is correct for this integral? Oz = 25 ...

A: Given: I=∫25x2-36x4dx  ...1 We know that; The trigonometric identities; 1). tanθ=sinθcosθ2). secθ=1c...

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 2t- 9t me...

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Q: (3+ х) lim 1— (3-х)1

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Q: 3. A piece of wire 36 in. is cut into two parts, one of which is bent into the shape of an equilater...

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Q: 6. 2x3+3x dx x4+3x2 C 1 In lx* + 3x21 + C + C In(x4+3x2) 1 1 In Ix + 3x21 + C +C 2 In(x4+3x2) A B O ...

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Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman win...

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Q: a. Determine an equation of the tangent line and the normal line at the given point on the curve. b....

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Q: The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal tange...

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Q: 1 6. S -dx (x+1)(x²+1)' 2x+1 7. S dx (x+1)(x²+2)

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Q: cos* (cos x) COS. dx CSc x

A: Given  ∫cos4cosxcscx dx

Q: 29. What is the particular antiderivative of f(x) = 6x whose y-intercept is -4? x2 – 1 a. y = 4 ln |...

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Q: Evaluate the integral 7/4 cos(2x + y) dxdy. T/4

A: Solution: As per our guidelines, we are supposed to answer only one question ( if there are multiple...

Q: 1 lim X→0 X/1+ x

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Q: 10. Seta x² dx A 2 е** + C с 1 + С B 3 e** + C D 1 + C 3.

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Q: Vx 3+4x+8 dx 2 vã (Vx?)

A: Given that ∫x34+4x+8xx2 3dxSolution:let ,x=u6dx=6u5du∫u6×34+2u6×12+8u6×12 u6×236u5du∫u92+2u3+8u3 u46...

Q: 3x2 + 5x + 11 Evaluate / dr. (x+ 1)(x² + 2x + 10)

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Q: 2x+6)dx x²+2x+5

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Q: Find the derivative using the formula f'(x)= g'h + gh' 1. cos x cot x

A: Differentiation

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A: a) t=2 seconds

Q: A 20 ft ladder leans against a wall. The bottom of the ladder is 3 ft from the wall at time t=0 and ...

A: A 20 ft ladder leans against a wall. The bottom of the ladder is 3 ft from the wall at time t=0 and ...

Q: A rock is thrown into a still pond. The circular ripples move outward from the point of impact of th...

A: The circle formed has the area  A=πr2...(1) Differentiating it with respect to t: dAdt=π2rdrdt...(2)

Q: 8. Find a definite integral for the area of the region that lies inside the polar curve r2 = 8cos(20...

A: Here, given that the region is bounded by the curves: r2=8cos(2θ) & r=2 which is

Q: Dialysis treatment removes urea and other waste products from a patient's blood by diverting some of...

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Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper frac...

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Q: 1. Given the function f(x, y) = x² /ÿ. (a) Find the local linear approximation of f at the point (3,...

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Q: Exercises Find the solution of the following Differential Equations 6) y'= V+x ソーX %3D

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: At their point of intersection, the 0 between any two nonparallel lines satisfies the relationship (...

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Q: Use the ALEKS calculator to evaluate each expressic Round your answers to the nearest thousandth. Do...

A: As we know that; The logarithmic properties; 1). logaxb=b·logax 2). logcab=logca-logcb   Given: (a)....

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Q: D. Eliminate the arbitrary constant C. 6. y=C,e6+3C,e*

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Q: +oo (-1)"+1 n=1

A: To show the convergence using alternating series test.

Q: 1. Find and sketch the domain of the function f(x, y)= In ツー1 Vアーx

A: As per our company guidelines we are supposed to answer only one question at a time. Kindly repost o...

Q: Evaluate the Integral |4sin²0+4 sin 0 5. S de tan²0+1 ANSWER: 5. - [(2 sin 0 + 1)V4sin²0 + 4 sin 0 –...

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Q: Find the derivative using the formula f'(x)= g'h + gh' 1. cos x cot x Let g= cos x, and h= tan x. ...

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Q: Given a function g(x, y) defined implicitly by the equation z*y* + sin (x² – y²) = tan-'(xz). (1) dz...

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Q: %24 %23 - and r = 0. =D0. Find the area of the region enclosed by y = 5e*, y = 6e¯² and x = 0. 5- 4....

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Q: Let A- {#, 7, x) and let R be the relation on A given by R (7, 7). (#. #)}. Prove or disprove reflex...

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Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)4 f(x) = E Σ ...

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Q: (a) Find the average rate of change of the area of a circle with respect to its radius r asr changes...

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Q: The total amount of money in circulation for the years 1990-2012 can be closely approximated by M(t)...

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Q: In 2017, an estimated 250,440,000 roses and 140,575,000  carnations were sold on Valentine's Day.  ...

A: Basic rate of change problem

Q: Express the iterated integral as an equivalent integral with the order of integration reversed. 18 p...

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Q: Consider the following sequence: +00 9" {a,} = An+1 - to show that the given sequence {a,} is strict...

A: The given sequence is  an=9n4n2n=1+∞

Q: Determine whether ivergent.

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Q: » Given : x - xy + y? = 4 a) Find dY by implict differentiation : b) Find the equation of the tangen...

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: To find out the taylor series.