(b) ») [es0 cos (1³0) de (e39 ← Hint: Rewrite e60 e³0 e30

Q: 3) Evaluate ex*+¹sin (√x) dx].

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Q: -50x7 - 30x6 - 20 5x² Type your answer without negative exponents. Simplify completely. Find the…

A: Given the quotient function is -50x7-30x6-205x2

Q: Find the solution to (2x + 3) y'=y+ (2x+3) ²; x = -1;y=0 2y = (2x + 3) 2 In (2x + 3) y= In(2x + 3) 3…

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Q: Find the linear approximation of the f(x,y)= (x/x+y) at the point (1,4). Answer: f(x,y)=?

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Q: Write the following difference as a single logarithm. Assume all variables are positive. log5 (5)…

A: H=log55-log512we know logab=loga-logb

Q: find the DE of the family of curves Strophoids

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Q: Hello can you type it and shouldnt it be -265 if we put it where the zero is

A: We need to find the equation of the plane passing through the points 7,7,5, 1,3,6 and 5,-2,-1.

Q: Find the limit

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Q: 5) Ir b) a) O Consider the functions z = -e lnx, y = ln(u sin v), x = usin v. Draw a dependency…

A: We can solve the above question as follows,

Q: Find the sum of the infinite geometric series 2+2(2x-1)+2(2x−1)² +2(2x-1)³ +... if |2x-1|<1.

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Q: Find the distance in netween the point P(-4,3,-1) and Q(4,-1,3)

A: given points P(-4,3,-1) Q(4,-1,3)formula for distance is D=(x2-x1)2+(y2-y1)2+(z2-z1)2

Q: TOPIC 1 Higher Derivatives 1-x Q. #1 Given f(x)= please find derivatives below. Hint: Always…

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Q: Consider the following. -h 0₁ bx (a) The figure shows a telephone wire hanging between two poles at…

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Q: If g(8) = sin(), find g'(8) and g "(0). 8 g'(0) - (0),6

A: Given query is to find indicated derivative.

Q: Fin d Y = 4 = 1X₁ Y=0 - -0 2 X=0 X=1 volume + Kotate about x-axis

A: Please see the below picture for detailed solution.

Q: 사 In a certain year, the average e-mail user sent or received 157 e-mails each day. The number of…

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Q: The graph below is the function f(x) -5-4-3-2 • 16 9 14 2- 1 - di ON m A 1 2 3 Find lim f(x)= 2--1-…

A: Topic = Limits

Q: Find the directional derivative of f(x,y,z)=-4x2+2y2-3z2 at the point (1, 4, 5) in the direction of…

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Q: Solve the given equation by variation of parameters. y" + 2y'+y=9ex

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Q: 5. Prove, if true, that if A, B and C are sets that A - (Bn C) = (A - B) U (A - C). If it is not…

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Q: The following table shows the daily receipts in millions of dollars of the movie "The Hunger Games"…

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Q: Discuss the continuity and sketch the graph. 1. f(x) = 3x² + 2x + 1, x = -2 2. f(x) = x² - 4x+4 x-2…

A: We have to discuss the continuity and sketch the graph  (1) f(x) = 3x2 + 2x + 1, x = -2

Q: Suppose the following people went to a summer camp: 27 boys, 15 city children, 27 men, 21 non-city…

A: Given: There are: 27 boys, 15 city children, 27 men, 21 non-city boys, 42 people from the city, 18…

Q: the negative direction? (c) Sketch a graph of the velocity function and the speed function on the…

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Q: 10. Find the critical points of f(x)=x²-3x² and identify the intervals on which fis increasing and…

A: Given function:- fx=x3-3x2

Q: What is the length of the latus rectum of; 4x² +9y² + 8x - 56 = 0

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Q: If the length of the smaler edge, x is increasing with time, x = t? (where t = time in seconds).…

A: given  x=tt is in seconds d dx(xn)=nxn-1

Q: √√3 sin-¹ (-√3)). 2 Find the exact value of the expression tan sin √√3 -1 (-1/3³)) -0 2 (Type an…

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Q: Use implicit differentiation to find 6√y=x-5y dy-0 dy d²y and dx 2 dx

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Q: Given f(x) = 761x - X if 0 ≤ x ≤ b if b < x a) Determine a value of b so that the function given is…

A: Given:  fx=x2-7 if 0≤x≤b6x if b&lt;x To Find:  (a) To determine a value of b so that the given…

Q: Evaluate the limit: lim x-6 x² 2 13x + 42 x - 6

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Q: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = ex (Use…

A: Given curve equation:- y=e-4x

Q: Find an equation of the tangent line to the curve at the given point. 1 + sin(x) cos(x) (π, -1)

A: y=1+sinxcosxpoint is (π,-1)equation of tangent line is y=mx+cwhere m is slope=dydx

Q: Use the quotient rule and the derivative of sine and cosine to prove the derivative of csc x is -csc…

A: Given,            Prove that ddxcscx=-cscxcotx

Q: Estimate the value of the limit (if it exists) by evaluating the function at the given numbers. (It…

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Q: Describe in words the region of R³ repr 1 ≤ x

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Q: Verify that sin k(t) is the solution of the D.E d^2x/dt^ 2 + k ^2 x = 0

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Q: it says it could be multiple choice is that the only answer?

A: see below the answer and explanation

Q: Use implicit differentiation to find dy dx 3 x3 - 21xy + y = 1 || dy dx

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Q: Prime Interest Rate The function P, whose graph follows, gives the prime rate (the interest rate…

A: The function P, whose graph follows, gives the prime rate (the interest rate banks charge their best…

Q: Question 6 Solve the DE. If (x) is the solution to the DE, find (-2) y'=xe}-x’;y(0) =0 0.675 -0.675…

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Q: Problem 4 Find the critical points and determine whether they are local minima, local maxima, or…

A: Given Data : We have given a function f(x,y)=sin(x+y)-cos(x)   Required : Here we have to find…

Q: D Question 5 let g(x) = 1/(x³+x²)3 find g'(x) O(x³+x²)3 O (x³+x²)-3 O-3 (x³+x²)-4(3x²+2x)…

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Q: 4. An ellipse with major axis length 2a and minor axis length 26 is given by equation x² y² + = 1 q²…

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Q: Find the differential of f(x,y)=(y3+x2)0.5 at the point (1,3). df=? Then use the differential…

A: df is given by df=∂f∂xdx+∂f∂ydywe have 0.96=1-0.043.06=3+0.06Hence, dx=-0.04, dy=0.06

Q: A piece of cardboard measuring 12 inches by 11 inches is formed into an open-top box by cutting…

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Q: (xave cos (x²) 1-x4

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Q: If z = x² + xy, where x = uv² + w and y = u + ve", then: [80] u=2, v=-3, w=0

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Q: rectangular fence is to be constructed with one of its face adjacent to an existing wall. Given that…

A: Given query is to find the dimensions for maximum area.

Q: In the attached calculation, why does it say it is the quotient of the two polynomials? Does that…

A: Please see the below answer.