Find the derivative of cosx/sinx.

Q: At what points is the function y = x + 4 2 x -5x+4 continuous?

A: Rational function is continuous at all points where its denominator is not equal to 0. If its…

Q: Use function composition to determine if f (x) and g(x) are inverse functions. f(x) = 3x - 1 and…

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Q: c) intervals on which f is increasing: intervals on which f is decreasing: (x, y) coordinates where…

A: A function f(x) is said to be increasing on an interval I if f'(x)≥0 for all x∈I and decreasing if…

Q: Evaluate the following double integral over the region R. SS (x² - y²) ²dA; R={(x,y): 0≤x≤1, −1≤y≤1}…

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Q: Find T-4 2-4

A: We have to find  limx→4- x-4x-4.

Q: 1. Suppose a population of insects increases according to the law of exponential growth. There were…

A: Given that the population of insects increase according to exponential model.

Q: Sketch the region of integration and attach a picture below: Choose File No file chosen Reverse the…

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Q: Estimate the value of the following convergent series with an absolute error less than 10-³. 5(-1)k…

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Q: Treat f(x) = g(x)h(x), where g(x)=2x^3+3, and h(x)=cos(x^2). The product rule combined with the…

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Q: nx + 2y = xy+1 (n is a constant) dx Answer: Cx2 y + xyn - 1 = .0.

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Q: H.W: Solve the following equations. 3 2 3. ( y.). . . .xy? dy where y.(..)... ******** .O...

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Q: 2. A zircon sample contains 4000 atoms of the radioactive element 235U. Given that 235U has a…

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Q: Find all solutions of the system. (Use the parameters x, y, and z as necessary. If the system is…

A: Explanation of the answer is as follows

Q: D. Simple Substitution dy dx 1 + e-x+5

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Q: Graph the function. Y-(-²)*

A: Given function,                           y=12x

Q: Let ƒ(x) = cos¯¹ (e5¹). Find ƒ'(x). f'(x) =

A: Topic - Derivative of a function we are given f(x)=cos-1(e5x)Formualas…

Q: Consider the function f(x) = 2√☎ + 2 on the interval [1, 9]. Find the average or mean slope of the…

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Q: Explain how 5 (G) can be obtained from the graph of g(x) = 2+1

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Q: 1 If f(x) = 2x sin−¹(x), find f'(x) = ƒ'(0.3) =

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Q: The radioactive isotope potassium-40 is used to date very old remains. The proportion of…

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Q: Consider the differential equation (2x-xy) dx - 2dy=0 with the initial condition y = 1 when x = 1.…

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Q: angle in standard position when a functional value and a constraint are known. hine the values of…

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Q: Evaluate the integral ∫9−3f(x)dx, where the graph of f is the red curve given in the following…

A: The graph of f is given as

Q: Evaluate the double integral: L² fieri sin X 1 ✓cos² y + 3 dy dx

A: To evaluate the following double integral.∫032∫12sin-1 xπ6 1cos2y+3 dy dx

Q: Use your answer in (a) to find the general antiderivative of f

A: The given function fx=3x5+13x-4x8 We have to write the function in exponential form and use it to…

Q: Explain how g(x)= 5^x-5 can be obtained from the graph of f(x)= 5^x 1. Shift up 5 units 2. Shift…

A: g(x)= f(x)-k is the vertical shift down by k units

Q: integral is convergent, OI 3 5.1² .7 I x² +9 dr

A: We have to determine the given series is convergent or divergent

Q: Use the (a) y = quotient rule to differentiate e4x x² + 2 (b) y et In x

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 7π Find the area of the sector of a circle of radius 9 units subtended by an angle of radians. Round…

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Q: Simplify the trigonometric expression. sin(x) csc(x) + cot(x) X

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Q: H.W. solve the following equati.9.1.2.s. x + y = "1". ...........

A: Given differential equation:- y'=-2+e2x+y-1

Q: 3. A farm owner wants to fence off a rectangular pen against his barn, as shown. No fencing will be…

A: Given the two side pieces ( each of length y ) will cost 8 dollars per ft the front piece ( of…

Q: Given that f(x) = 9x + 5 and g(x) = 3 - x², calculate (a) f(g(0))= (b) g(f(0))=

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Q: Obtain an integral setup for the area of the the region inside the graph of r = 3 sin 20 and inside…

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Q: or f(x) = 2 x x² 2 find the requested info. Answer NONE if necessary. Show work/explanation.

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Q: Find the length of the arc of the curve y = ln x from z = 1 to z = 3. Use inte- gration by…

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Q: If f(x) = x + 6 and g(x) =x- (a) f(g(x)) = = (b) g(f(x)) = (c) Thus g(x) is called an inverse 6,…

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

Q: . Find the area of the region lying to the right of x = 3 and between the curve 1 y = and the…

A: Here we have to find the area.

Q: Find the limit of the rational function (a) as x→∞o and (b) as x→- 00. 2x 5 +7 x5-x²+x+2 f(x)= a.…

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Q: Si f"(t) = f (t) e² = e4t + 2t¹/4, ƒ'(0) = 2 et ƒ(0) = 3, alors =

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Q: Estimate f(1.08, 5.91) assuming that ƒ(1,6) = 4, fx(1,6) = 0.5, fy(1,6)= -0.4 (Use decimal notation.…

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Q: Find polar coordinates of all points at which the polar curve r = 1 + cos has a horizontal or…

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Q: (e) cos(2x); (f) cos(x/2)

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Q: Let F(x) = COS(x) 1 <0 2³ +3 0≤x Find lim F(x). →+ lim F(x)= →0+ 囡囡囡

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Q: 32. Use the right triangle ABC below and the given conditions to answer the question that follows. B…

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Q: Write an equation for the hyperbola shown in the graph. ... y=-2x, 17- Y=2x -17 The equation for the…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Express the area of the shaded region in terms of (a) an integral with respect to x and (b) an…

A: NOTE: Refresh your page if you can't see any equations. . given functions are first, we need to…

Q: In the pair of equations, one is true and one is false. Choose the correct one. In(1) = 0 or In(0) =…

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Q: Give the angle coterminal to 5pi/4 a. 27pi/6 b. 29pi/4 c. 29pi/3 d. 27pi/4

A: Keep adding 2π to the angle to get subsequent coterminal angles.

Q: Use the properties of natural logarithms to simplify the function. f(x) = In(x³) - In(x) f(x) = 4x X

A: Formulas we use: lnab=lna-lnb lnam=m×lna aman=a(m-n)