Use the chain rule to find the derivative of 3 10√/2r³ + 10x¹0

Q: An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) =…

A: given  rate  r(t)=120e-0.02t∫eatdt=eata+c

Q: Find the limit of f(x) = lim f(x)= -7+- X as x approaches co and as x approaches -8. lim f(x) = X→∞0…

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Q: Consider the following function: Step 4 of 4: Enter the x-values of any local minima, maxima, and…

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Q: Suppose that the function graphed below is f'(x), the derivative of f(x). Find the locations of all…

A: Graph of the function is given we have to find its relative extremum.

Q: Write Sk. 4+12+ (Do not simplify.) Write SK+1. 20+...+()=0 4+12+20++ (Do not simplify.) What do we…

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Q: Find the radius of convergence and interval of convergence of the series. n=0 (-2) ¹ 3n+1 -(x + 3)"…

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  substitute n+1…

Q: 6) Show that (2xy, 2yz + is conservative.

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Q: Evaluate sin 5x cos 4x dx

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 3. R is the region between f(x)=xln(x) and the x-axis on the interval [1, e]. (a) Write an integral…

A: Since you have posted multipart question i can do first three subparts as per our company guidelines…

Q: Use the following information to determine cos(2x). Answer cos(x) = cos(2x) = 2 √6 and tan(x) is…

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Q: Suppose that a is the area of a disc with radius r which is expanding in time t measured in seconds.…

A: Given a is the area of a disc with radius r which is expanding in time t measured in seconds.   We…

Q: 14. √9-x² x2 S dx

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Q: Lim X→2 (x²-4) erx - -1 X-2

A: Let's evaluate the given limit.

Q: 9.1 Sketch the curve of intersection, or trace, of the surface defined by 2x²-22²=y with the…

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Q: Find dy dx by implicit differentiation. x²+2x+11xy-y²= 16

A: We have to find dy/dx.

Q: II. Solve the following differential equation. (i). y' = 1 + 3y tanx Ans. 3y cos³x = c + 3sinx −…

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Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.01 cm/min.…

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Q: X √4- 4+3x² -dx

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Q: A cylindrical can is to have volume 2700 cubic centimeters. Determine the radius and the height…

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Q: A circle with center O and passing through the origin is graphed below. What is the equation of…

A: From the figure center = ( -4 , 2 ) let r = radius

Q: Find two points where the curve x² + 2xy + y² = 53 crosses the x-axis. The tangents to the curve at…

A: We need to determine slope.

Q: Given the homogeneous differential equation: y (4) + 3y "- 4y=0 What is its auxiliary equation?…

A: Given that the homogeneous differential equation is y(4) + 3y" - 4y = 0 . Here we have to find its…

Q: you solve the Partial Fraction please

A: Given that             16x2-x+36x3-5x2+1=16x2-x+3(6x-5)x2+1

Q: Find the length of the loop of the given curve. x = 6t - 2t³, y = 6t²

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Q: The graph of one complete period of a sine curve is given. A y (a) Find the amplitude, period, and…

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Q: decimal places. A = B = C= a=5 b=8 c=9 A=61.825° B = 44.157° C = 74.018° O A = 28.236° B = 42.639°…

A: Using cosine law

Q: 16) Sinx-cosy-2=0; dy = ? A) -cot X c) CosX siny B) -cot y d) -cscy cos X E) 2-COS X siny

A: given 16) sinx - cosy - 2 = 0

Q: X Find the point of inflection of the graph of the function f(x)=2sin on the interval [0, 147]. ○ (7…

A: Given query is to find th point of inflection.

Q: for v= -1/2 cos (2x) where is -1/2 coming from? In the final answer, where does 1/4 come from?

A: Solution ⇒    Given function  ∫udv=∫x×sin⁡(2x)    here  u=xanddv=sin⁡(2x)…

Q: 12. Which of the following is a point at which the tangent to y=-xe* is horizontal? Show your work.…

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Q: Write a formula for the nth term of the following geometric sequence. Then use the formula for an to…

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Q: find the area of the region bounded by graph f(x)= (4)/1+x^2 and g(x)=1 using the area between two…

A: The given two graphs: fx=41+x2 and gx=1We need to find the area between the two curves.

Q: 20) Explain the idea behind l'hospitals vule.

A: use an  example to understand the l hospital rule.

Q: Find all relative extrema of the function f(x) = 3x4-36x³+ 5. Use the Second Derivative Test where…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 5) Find the divergence of (√x² + y² + z 5) ki vj + zk)

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Q: Find the standard form of the equation of the ellipse and give the location of its foci. Ay Q Q…

A: we need to write down the equation of ellipse from the given graph.

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: The total cost of producing x magazines is given by the function C(x)=600+17x−0.1x2+0.5x3. Find the…

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Q: Use mathematical induction to prove that the statement is true for every positive integer n. 4+1-4 3…

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Q: es for the point (4, IN

A: given (r,θ)=(4,2π3)formula for other coordinates is  (r,θ+2nπ) or  (-r,θ+(2n+1)π)

Q: d²y y = cos xtanx 18.Determine dx2 for

A: The function is given as y = cos(x)tan(x) Simplifying the given expression, Substitute tan(x) =…

Q: ← dy (a) Show that y* +x-6=0 is an implicit solution to dx Part 5 of 6 1 on the interval (-∞,6). 4y…

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Q: Use integration by substitution to solve the integral below. Use Cfor the constant of integration.…

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Q: a. Find dy CLIC

A: As per Bartleby answering guidelines when multiple questions are posted in single picture then the…

Q: 09. C-1 28-1 $²-8-6 (e³ (t-1) + e-2(t-1)) u₁ (t) C. (e-3(t-1) + e²(t-1)) u, (t) <-8 e 0} (1) A. (t)…

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Q: Find the sum of the series 65+ 513 5/9 + LO 5 27 - 5 81 +

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Q: Part b pls

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Q: uestion 1: For the graph of the circle below whose equation is of the form (x-h)²+(y-k)² = r2, enter…

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Q: Determine the solution of the following differential equation d) xy' + (1+x)y = ex sin(2x)

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Q: 3) lim X^ X-O' B) i A) O де D) ∞ a(3) = 3₂ E) nove eriste

A: Given query is to find indicated limit.