Use a graphing calculator to find the intervals on which the function is increasing or decreasing 100 = x25 -x,for - 5sxs5

Q: Ex: Find gof, Fex) メ-15 2. gcx) = gox) x+2X

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Q: he unit circle x^2 + y^2=1 can be written in parametric form  as x=cos(θ) and y=sinθ. Find dy/dx an...

A: The parametric equation of the unit circle is: x=cosθ ; y=cosθ From the chain rule we know that, dyd...

Q: Given z=2. Find zy wy.

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Q: Determine C if u=v=0 (20 — 5и + 3)dv — (20 + 4и — 6)du 3 0 - 3 27 -1

A: Let's find. 

Q: u* + v*)du – uv*dv = 0 1 1 -5 и O Option 1 Option 2 1 1 u5

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Q: Math114 Logic and Set Theory Worksheet #4 4. Let U be the set of integers. Let A = {3,6}, B = {3, 8,...

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Q: Evaluate the indefinite integral. S csc² 3x v4cot3x – 5dx ,and • Identify what is the u=? and du=? S...

A: Given:   Intergral is given

Q: For the function f(x) =x - 4, construct and simplify the difference quotient f(x+ h)-f(x) %3D h The ...

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Q: At the start of 2010, an online social group had 360 million members. Subsequently, new members join...

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Q: Use the properties of logarithms to expand log Each logarithm should involve only one variable and s...

A: Given data÷

Q: The projected percent of a country's adult population with diabetes (diagnosed and undiagnosed) can ...

A: The projected percent of a country's adult population with diabetes can be modeled by y=5.97x0.492 w...

Q: Determine the interval of convergence of n2 +1

A: Given problem:-

Q: If f (x) =x2-4x and g (x) =6-x3, evaluate the following. Show your work on a separate paper. a. (f+8...

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Q: L'Hôpital's Rule does not help with the following limit. The expression keeps on cycling. Find the l...

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Q: Evaluate the integral. (Use C for the constant of integration.) 6 + du 2

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Q: Given w = xysin(z²), x= s-t, y = s², z= t². Find ay

A: Explanation of the answer is as follows

Q: Find the value of xg in 3 decimal places (positive root) using Secant Method (8th Iteration) f(x) %3...

A: Let's find. 

Q: 1) Find limit 1. lim x-0 tan 3x x3+2x2-3x 2. lim x-3 x3-2x2-15x Vx+1-V2x 3. lim x-1 x2-x 1 4. lim- x...

A: Given

Q: Given z=. Find z z„= -2x , = 2x*3 Option 1 Option 2 z„- -2x Option 3 none of the above

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Q: dy 7. dx cos(x + y), when x = 0,y = 4

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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: Let's find. 

Q: Part 1 of 4 Show that v = ai + bj is perpendicular to the line ax + by = c by establishing that the ...

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Q: Fin the equation of the line tangent F(x) = xcos(x) + e^x at the point (0,2)

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Q: By completing the square, dx the integral J is equal to: (x+5)Vx2+10x+21 sec-1+c x+5| + C sec- | + t...

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Q: d'y Find for dr? y = 5x? cos(x) + 13 sin(x) d?y dz? ||

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Q: The equation of the ellipse that has a center at (4, 2), a focus at (7, 2), and a vertex at (9, 2), ...

A: We will find the equation of ellipse as shown below

Q: (1) Suppose you lift a stone that has a mass of 5.1 kilograms off the floor onto a shelf that is 2.5...

A: "Since you have asked multiple questions. We will solve the first question for you. If you want any ...

Q: Evaluate by any applicable method. Si VVæ – 1 dæ 15 32 8 15 32 15 None of the choices. Please refer ...

A: Topic = Integration

Q: Evaluate the double integral. 7x(64 + y?) R R is the region in the first quadrant enclosed by y = x*...

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Q: cos(x + y), when x = 0,y = dx

A: Follow the procedure given below.

Q: Evaluate f"(7) if f(x)= /2+ COS X . (Ans: )

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Q: Find the equation of the Line tangent of xy-y^3 =-6 at the point (2,2) Find the equation of the lin...

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Q: Consider the concentration, C, (in mg/liter) of a drug in the blood as a function of the amount of d...

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Q: Let 5 sin⁡x+ 7 cos⁡ y=6. dy/dx= d^2y/dx^2

A: 5sinx+7cosy=6Differentiate w.r.t x5cosx-7sinydydx=05cosx=7sinydydxdydx=5cosx7siny

Q: Use the factor theorem to determine if the given binomial is a factor of f(x). sk) = 3x + 2x - 24x-1...

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Q: D. x4-4x2+8х J(- • Evaluate the indefinite integral. dx ,and • Identify what is the u=? and du=? Sho...

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Q: Find the derivative of the function. y = sqrt (7+4e^6x

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Q: 5. Given a curve in the following parametric equation: x = 3- 2 sint, y = 4+ 2cos t, 0<ts Then: a. D...

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Q: Find all the zeros. Write the answer in exact form. m (4) = 5x -x- 35x+7 If there is more than one a...

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Q: Use sigma notation to write the Taylor series about x = 8 for the function. 1 x +5 Σ k =

A: Taylor series of f(x) centered at x=a :           f(x) = ∑n=0∞ fn(a)n!(x-a)n = f(a)=f'(a)(x-a)+f''(a...

Q: rectangular prism with dimensions 6 m x 4 m x 8 m (l x w x h) is shrinking. 8 m 4 m 6 m nswer the fo...

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Q: 2- for y = log10 e" is: dx 1 1 a) *In 10 b)- *In 10 10 In e

A: Option (a) is correct. For detail....go through the solution  

Q: Use the properties of logarithms to expand the following expression. 6(4+x)* log Your answer should ...

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Q: Is the series convergent or divergent? Justify the answer {Vn – Vn + 1}

A: The solution is given in the next step.

Q: Given the taylor series at 0 for 1/(1-x2) has an an of x2n: Find the Interval of convergence of thi...

A: use the ratio test for interval of convergence of series .

Q: The height (feet) of an object launched in the air t seconds after launch is given by s = - 16t + 28...

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Q: Prove the identity. cosh(-x) = cosh(x) (This shows that cosh is an even function.)

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Q: 1- (3x3 + 2y)dx + (2x In x +) dy = 0 %3D

A: As per our company guidelines we are supposed to answer only the first question. Kindly repost the o...

Q: A bird is on perched on top of an 18 feet high flagpole. If the angle of depression of its direct fl...

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Q: Using integration by parts, the integral Sx sec(2x) tan(2x) dx is equal to: Hsec(2) -inise(20) + tan...

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