%3D 4-X

Q: Evaluate:| cos 2x dx sinx

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Q: When four times a number is decreased by 8, the result is 16. What is the number? The number is

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Q: Find the x-coordinate(s) of the point(s) on the graph of y = x + sinx at which the tangent line has ...

A: Graph of y=x+sinx

Q: Use finite approximations to estimate the area under the graph of the function f(x) = 4 -x between x...

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Q: Given the following functions: f(u) = u*/? and g(x) = 2° +1. Find: f(9(x)) = f'(u) =[] f'(g(x)) = g(...

A: We will solve the problem 

Q: Evaluate the integral using partial fraction decomposition

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Q: The figure shows the position versus time curve for an ant that moves along a narrow vertical pipe, ...

A: Curve gives the position of the ant on the pipe

Q: Two circles of radius 4 are tangent to the graph of y2=4x at the point (1,2). Find equations of thes...

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Q: 14. (a) Find the area bounded by the curves y = 2x2 and y = 4x.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first quest...

Q: Find the GS of the following Bernoulli's equation 3. dx - 2хydy %3D 6x3 у?е-2у"dy B.

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Q: 3. f(x) = x² – 4Vx - 2(x3/2 – 1) f'(x) = 2x3/2 + 1 f"(x) = x3/2

A: Just apply all the condition for finding maxima and minima..and all other points as I have done step...

Q: Vcos 2x Evaluate:| sin x

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Q: Vcos 2x Evaluate: sin x xp-

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Q: Suppose that y = 2(x² – 2æ)-5. dy Find dx dy dx II

A: For the solution follow the next step.

Q: (x² + b²)dy = 2x[(x² + b²)² + 3y]dx; y(b) = 4b*; b is a constant # 0 %3D

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Q: dw dw Find Əx' dy and az using implicit differentiation. Leave your answers in terms of x, y, z, and...

A: The given equation is; ln(4x2+y-z3+7w)=z

Q: Function Function Parent Function Transformation Name .1. Suare Root Function y = -Vx-4+3 2. y=x-9| ...

A: Authoring guidelines: As per the authoring guidelines we can solve only the first three parts questi...

Q: a. Determine the equation of the family of parabolas whose axis is parallel to the x-axis and whose ...

A: Let's find. 

Q: (a) Find that the area of the plane region lying to the right of the parabola x = and to the left of...

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Q: 4x -dp- x² + 6x + 9 %3D A and B, where B < A and 4x A B denominator denominator x2 + 6x + 9 MacBook ...

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Q: Evaluate the limit 49 – t lim t 49 7 - Vt

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Q: g(b) Use the substitution formula f(g(x))g'(x)dx = f(u)du where g(x) = u, to evaluate the following ...

A: Use substitution to integrate

Q: 1-34

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 00 (n...

A: The given series is  ∑n=1∞ (n+8)(n+7)n!  

Q: The cresent-shaped region bounded by two circles forms a lune (see figure). Find the area of the lun...

A: Construction: Draw OC = 5 units.   OA = d units. BC = 3 units.  In ⊥ angled △OBCOA+AB2 + BC2 = OC2 ...

Q: M(x, y)dx = –2x(- 2 1 + y + )dy 2x2)dy

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Q: The inn er produ ct of two functions f and g on [a,b] is given by (f, 9) = | 5 (#) g (x) dr. Two dis...

A: We shall prove this in 3 steps, taking inner product of different type of functions.

Q: cos36xdx 1. S Vsin6x 4

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Q: Find the derivative and simplify. Please show steps  A. f(x) = 2 sin−1(4x + 5) Answer: f'(x)=(4)/...

A: We need to find derivative.  

Q: If zisa complex number satisfying|z-1=1. z-2 -itan (arg(z)} Then prove that

A: We will prove as following.

Q: 5. At 1 pm on a hot day the rate, in cm per minute, at which water in a swimming pool evaporates is ...

A: Authoring guidelines: As per the authoring guidelines we can solve only the first question.Please re...

Q: a. A rectangular pen is built with one side against a barn. If 1200 m of fencing are used for the ot...

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Q: Find the equation (in terms of x) of the line through the points (-1,-5) and (2,4) y =

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. n! Σ ...

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Q: 12. Determine the following and use algorithm to sketch the curve given by the function f(x) = x³ + ...

A: The given function is f(x)=x3+6x2+9x Note:   Multiple sub parts are given, we are answered with only...

Q: Given the following functions: f(u) = tan(u) and g(x) = x'. Find: f(g(x)) = f'(u) = f'(g(x)) = g'(x)...

A: Given: fu=tanu ; gx=x7 (a) Now find fgx. So, fgx=fx7=tanx7 Therefore, fgx=tanx7

Q: 7. State whether the equation is ordinary or partial, linear or nonlinear, and give its order. * () ...

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Q: The total daily profit (in thousands of pesos)of a certain food company for the sale of z boxes of b...

A: Given:- The total daily profit (in thousands of pesos) of a certain food company for the sale of z b...

Q: dz Use an appropriate form of the chain rule to find dt z = 7 cos x – sin xy; x = ;, 1 y = 9t Enter ...

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Q: 1. f(x) = xsin x 2. f(x) = x²cos 2 x 3. f(x) = tan x – sec x sin x 4. f(x)

A: find derivative of function1.fx=xsinxf'x=sinx+xcosx  duv=vdu+udv2. fx=x2cos2xf'x=2xcos2x+-sin2x2x2f'...

Q: 5. Determine the minimum value of f(x) 3x on the interval [-1,1] %3D

A: Let's find. 

Q: Calculate g(b) and g'(b) where g(x) is the inverse of f(x) = 9x + 7. d'(x) =

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Q: Evaluate the following integrals. 1. / tan x sec x dx

A: Given that: ∫tan5xsec4xdx       NOTE: As per our answering guidelines, we can only answer 1 question...

Q: If f(x) = 4 arctan(8x), find f'(x). Find f'(3).

A: Given f(x)=4arctan(8x) ⇒arctan=tan-1 ⇒f(x)=4tan-1(8x) We need to find f'(x) and f'(3) First, we need...

Q: 7x2 + x – 100 lim 2x2 - 5x

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Q: Find all critical points for the function f (x) 2x3 + 9x² – 60x + 9. Separate multiple answers with ...

A: As we know that: To calculate the critical points, the first derivative of the given function must b...

Q: Explain precisely why each integral below is improper. Determine whether each im- proper integral is...

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Q: Find the derivative of g(x) = (cos(8x))3

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Q: Differentiation the function y = sin( – 6x)cot(- 7x) | y' = 7 sin(–6x) cos ec2(-7x) -6 cot(-7x) cos(...

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Q: If a,,a,,a,.,a, from an A.P. with common difference d, then prove that : a,a,a, a̟a‚a,.4a,a, a a.a.2...

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