1. Differentiate. Do not simplify. а. f(0) = 3cos(0*)sin(0³ – 2) b. f(x) = 4x + 25-x² + 2x-1

Q: w= Cos (x+y) + Sin (X-4) Show that dy?

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Q: Sketch the region bounded by the given curves and find its centroid

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Q: Find an equation of the tangent plane to the surface z = 2x² + 1y² + læ + ly – 2 at the point (2, 5,...

A: This question is based on 3d geometry.

Q: How to find the antiderivative Integral 13x cos (-3x + 1) dx

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Q: Given u(x, t) = t-²e¯, 2 , compute:

A: We can find the required answer as below.

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Q: y" + 2y' + y = 7 + 75 sin 2x

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Q: Use vectors to determine whether the points are collinear. (0, –2, –5), (15, 8, 0), (6, 2, –3) The p...

A: The given points are 0,-2,-5, 15, 8, 0, 6, 2,-3

Q: Let's consider the marginal cost function C' (x) = 0.02x + 28, where x represents the level of produ...

A: Given c'(x)= -0.02x+28

Q: Assessment 1. Directions: Find the limit of the following. 8x+1 5. lim X-1 x+3

A: We know by definition of limit for a function f(x) , limx→af(x)=f(a) , provided f(a) exists.

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A: Find your answer below I have solved two because these questions are not related to each according t...

Q: x arctan xdx

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. (R...

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Q: Directions: Evaluate the following limits. 1. lim(In (2x – 9)) 2. lim (tan-)

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Q: Total expenditures in a country (in billions of dollars) are increasing at a rate of f(x) = 9.82x + ...

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Q: • For numbers 1-4, use the given figure below to determine the limit and function values. (W DNE if ...

A: Topic = Limits As per guidelines , At  a time only three sub-parts can be answered. please repost fo...

Q: Determine the equation (of lowest degree possible) for the graph shown You may leave your answer in ...

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Q: kx +5, g(x)={ 2 x<-2 4. If the function 3x+x², x2-2 is continious at x=-2, then find the value of k.

A: Given query is to find the value of k.

Q: 6. f(16) = 63. VX Find f such that f'(x) = %3D %3D

A: Topic = Integration

Q: Find a set of parametric equations for the line passing through the point (8, 0, 9) that is parallel...

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Q: 7 f (x) = VE .A is the point (4, 2). Which one of these is an equation of the tangent through point ...

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Q: Find the critical points then sketch the graph of the function below. Provide the first derivative a...

A: Derivative test for maxima and minima: A point x=a is said to be a critical point of a function y=f(...

Q: 2.6 Find the inverse of the following matrices. A. 123 В. | -| 3 3 -2 C. Use the found in A. to solc...

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Q: question Let f: {0, 1} * -→ {0, 1} * be a function that maps each string u = abc where Ja| = |b| = |...

A: Given that f:0,1 →0,1u=abc where a=b=c fu=aSolution :one-to-one function ( injective )=A function f ...

Q: Determine whether the variation model represented by the ordered pairs (x, y) is of the form y = kx ...

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Q: Find the volume of the solid. y=x2, x=0; x=2, y=0, about the x-axis

A: use the volume of solid of revolution formula,

Q: cos 4x 2 dx sin4x 5.

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Q: PROBLEM [ B6 (b) ] : Solve the first order dy = 9 x²e=³, by using dx differential equation Variable ...

A: We have to solve the first order differential equation dydx=9x2e-y by using variable seperable metho...

Q: Find the slope-intercept form of the equation of the line that has the given slope m and passes thro...

A: Topic = Coordinates geometry

Q: 9. Let a be a positive value. State the integral test, and use this to determine whether > -an e n=0...

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Q: ft A spherical balloon is inflating with helium at a rate of 128x How fast is the balloon's radius i...

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Q: Find the exact arc length of y 3 1 over [1, 2]. S 4х - +

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Q: Find dx by using logarithmic differentiation for = (Cos x)(e)

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Q: Evaluate lim x? (e - 1) using series . X00

A: We know that ex = 1 + x + x22! + x33! + ⋯

Q: 6. The coefficient of Sin(x) in the antiderivative of F(x) =|cos is Blank 1 (use fraction form not d...

A: This question is related to Integration, we will solve it using given information. 

Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs i...

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Q: Directions: Evaluate the following limits. 3. lim ) 4. lim ) x-1 x2 X+4

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Q: x³eš" dx (Repeated Integration by Parts)

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Q: 1. Evaluate these integrals either by substitution or by integration by parts: cln 2 et a sin(2r) dr...

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: dy If then de impossible to calculate O In(æ)

A: 7.  slope of tangent line  slope at point ( 4 ,2 ) 

Q: In a local art museum, a moving spotlight projects geometric figures on the wall in front of it. The...

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Q: Find the antiderivative of the function f(x) = x*. That is, find a function F(x) for which F' (x) = ...

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Q: Sketch the region bounded by the given curves, then find the centroid of its area. 1. y = 12 – 3x2 ,...

A: Centroid of the region :            x = 1A∫ab fx-gx dx  and  y = 1A∫ab 12fx2 - gx2 dx               ...

Q: Find the derivative of the following including trigonometric identitier functions. Show complete sol...

A: h = sin-x here we apply chain rule dh/dx = (1/2sin-x)*(1/1-x2) dh/dx = 1/2sin-x*1-x2   y = k2sin-(x/...

Q: sec x tanx (1+sec'x)² + sec

A: substitute u= sec3(x)+1 du/dx=3sec3(x)tan(x) dx = du/(3sec3(x)tan(x)) put this in equation  1/3∫ du/...

Q: A rancher plans to fence a rectangular pasture adjacent to a river. The rancher has 125 feet of fenc...

A: Total fencing available is 125 feet.

Q: 18) Find a + b, 2a + 3b, |a|,  and |a - b|.  a = 2i - 4j + 4k, b = 2j - k

A: The objective is to Find a + b, 2a + 3b, |a|, and |a - b|.

Q: In each equation in Column A, find . Match the equation with its corresponding Column B. Write the l...

A: Since the student has posted multiple questions and has mentioned to solve multiple questions (quest...

Q: 17. The equation that models the height above or below equilibrium in inches, h, of a spring over (2...

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Q: Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2x). (Enter your answe...

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