4.Evaluate y' for y = cos8x-1 sin8x and simplify the answer

Q: State the equation of the rational functions whose graph is below. y 5+ 4+ 5432 3+ 2+

A: NOTE: Refresh your page if you can't see any equations. . as we can see  from the graph, the…

Q: Solve the inequality. State the solution in interval notation: x ≤ < 1 - 2x x-2

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Q: Without using Synthetic Division, divide : (9x3 - x + 2) ÷ (3x - 1)

A: Given query is to perform synthetic division.

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 4x³ - 6x² -…

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Q: Given the following graph of a function. 2 What is its domain? O 4 0 (-∞0, +∞0] O (-∞0, 2) U (4,00)…

A: We start at the far left side of the graph. We notice the arrow of the blue graph indicating the…

Q: Consider the ellipse foci? (x-5)² 256 + (y-7)² = 1. From any point on the ellipse, what is the sum…

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Q: Use the reciprocal identities for the following problem. If tan 0 m, with (m ‡ 0); find cot 0. cot 0…

A: Here we have to find the value of trignometric function.

Q: b) Is the integral f x(In x) P sina de convergent? Explain why! a

A: To determine  whether the integral ∫01sin xx dx is convergent. To explain why.

Q: Suppose we have two interesting functions f and g. We have limited knowledge of them as follows: •…

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Q: 4. Find the measurements of a box shipped via USPS that will maximize the volume in order to give…

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Q: Solve for the particular solution: 4e-3x-2 y' e -6x +3e-3x+2 ; y (0) = 1

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Q: 7. g(x) = In (x₂²x)

A: To differentiate the given function.

Q: V-1 dv 32 = dt V e a) Write the given first-order LDE in standard form. b) Solve for the general…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first three parts of…

Q: Find the differential dy of the given function. (Use "dx" for dx.) y=x√√√9-x² dy

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Q: dy 9. Given the curve xy - y³ = 7, find dx y [A] xyz [B] 3y x-y² y [C] -²/3 [D]x-3y [E] y x-3y²

A: On solving this we will get

Q: . Evaluate the for parametric equations x = 3t² - 6t and dx = 3t³ + 3t with respect to the…

A: Given query is to find the Indicated derivative.

Q: Calculate the integral of f(x, y) = 4x over the region D bounded above by y = x(2 - x) and below by…

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Q: 3. For Z= xtanxy,evaluate Zyy

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Q: Evaluate the following integral using trigonometric substitution. 7x² dx (121+x²)² S What…

A: The given integral is 7x2(121+x2)2.

Q: For the function below, find a) the critical numbers, b) the open intervals where the function is…

A: A point x=a is said to be a critical point of f(x) iff f'(a)=0

Q: ii. iii. [x x cos(x) dx [rs x sec²(x) dx x³ ex/³ dx

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Q: Find y': y = arc cos 0 = -√2 O y Oy=-1/72 V Oy= Oy=-- 9-1² 3

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Q: K Find an equation of the tangent line to the curve y ex when x = -2.37. CIXA y= (Simplify your…

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Q: The volume V of a growing spherical cell is V= r³, where the radius r is measured in micrometers (1…

A: We have given V=43πr3, where r is the radius and V is the volume.  a) find the average rate of…

Q: Let / be a twice differentiable function. One can show that e* (exf)" = af" + bf' + c, where a, b, c…

A: NOTE: Refresh your page if you can't see any equations. . use the product rule for the derivative

Q: Find the inverse transform of the given function of s. 3 √ 55/2 F(s) = A B There is no correct…

A: We have to find the inverse transform of  Fs = 34πs52.

Q: Draw - 7T in standard position. Answer in radians, the □ is already given. 4 -5 -4 -3 -2 -1 Clear…

A: We need to plot the angle :

Q: Si 0 dx √√√x+1+1 7

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Q: g(x) = 25x² (a) (¹) (b) (c) (d) 1 g(a) g(√a) ✓g(a) Additional Materials

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Q: Let y=tan(5x + 4) Find the differential dy when z = 2 and da= 0.3 Find the differential dy when - 2…

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Q: The total spent on research and development by the federal government in the United States during…

A: Total spent on research S(t)=3.1ln(t)+22 billion dollars Total spent on in 2012    t= 12

Q: At what point on the y-axis will the normal line at x = 1 of the function f(x)=√x intersect?

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Q: Using the Second Derivative Test, where applicable, find all the relative extrema of f(x) = 12x³ −…

A: Let's find relative extrema of given function.

Q: Find the Laplace transform of the function 3, 0≤t< 2π { 2π <t<∞ NOTE: Express the answer in terms of…

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Q: Concept Check: Use integration by parts to find fln(x) dx. (Hint available for u and dv?) Use…

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Q: f(3) = 0 f has a horizontal asymptote at y = 2 f has vertical asymptotes at x = 4 and x = - 4 f(0) =…

A: We need to create a function.

Q: Determine if the improper integral is convergent or divergent, and calculate its value if it is…

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Q: Find the derivative of: - R(t) = (sin² (3t+1), ln(t² − 1), ²) +1

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Q: Let f(x) = √22 – 3x and g(x) = -5x - 9. • You must combine all like terms before you submit your…

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Q: Solve the given initial value problem. dx dt dy dt : 6x + y; || - 4x + y; x(0) = 1 y(0) = 0

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Q: Question 5 Determine the derivative of tan(e) O e sec(e) tan(e*) 25+2 1+e²² O e sec²(e) O sec(e)…

A: To determine the derivative of tanex.

Q: Problem 1 Given a first-order differential equation: √1 + x² dy - ydx = 0 a) What is the best…

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Q: 8. Let y find = dy dx 4x√x² +8 (x +9)2/3* at x = -1. Use logarithmic differentiation to

A: The given data is: y=4xx2+8x+923  Use logarithmic differentiation to find dydx at x=-1

Q: 1+3 Sketch a detailed graph of the function g(x) asymptotes and draw them on the graph as dashed…

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Q: Find y' if 7 y² + sin (3x) = 12-y f

A: Here we can find the y' in the below steps, using implicit differentiation.

Q: Evaluate the following integral. e2. 1 In ³ (x²) X dx

A: To evaluate the following integral.∫1e2ln3x2x dx

Q: A bacteria sample initially has 300 organisms. After 2 hours there are 500. Write an equation that…

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Q: Evaluate the following integral using integration by parts. fxsin 6x dx

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Q: Use logarithmic differentiation to find the derivative of y = sin(5x)1+5x; y = 5*(1+5*x)*sin Your…

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Q: Compute the double integral of f(x, y) = 12x5y over the given shaded domain in the following Figure…

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