y = 1x312, 0 ≤ x ≤ 21

Q: Find the derivatives of R(v)=(14v²-3v) 2 H (w) = (6-Sw) Find dy/dx and dx/dy from 6x2-x3y²+4x=0

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Q: Find the exact length of the curve. y = 0x312, 2x3/2 0 ≤ x ≤ 6

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Q: Suppose that an is a sequence of positive numbers such that Σan converges. Let bn be an arbitrary…

A: Regardless of the sequence bn, the series ∑n=1∞​an​bn​converges. This conclusion holds because we…

Q: Q1/Show that the differential equation by by y' = x²y x³ + y³ is homogeneous and find the particular…

A:

Q: Find the indicated partial derivative. f(x, y) = 5xy⁹ + x³×8 fxxy = fyyy =

A: fxyy​=360y7+168x2y6fyyy​=2520xy6+336x3y5Explanation:Given the function,f(x,y)=5xy9+x3y8 Finding the…

Q: If consumption is $7.9 billion when income is $1 billion and if the marginal propensity to consume…

A:

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Therefore, the value of k that will make the planes π1​ and  π2​​ perpendicular is k=6.Explanation:

Q: 5) Find the general solution of the non-homogenous differential equation: dy = dx x + y +4 4x+4y+8

A: Explanation is given below:(ask in comment for any doubt!! )Explanation:

Q: Determine the solution to the following system: 3x+20y8z = 15 20x+15y-7z = 28 6x+5y-4z = 7

A: The solution of the system of equations is:x=1y=1z=1Explanation:The given system of equations is:…

Q: Let z be a number that satifies the Mean Value Theorem for f (m) on the interval 4 ≤m ≤ 16. What is…

A:

Q: draw and label diagrams to solve the related rates problem: a traingle has two constant sides of…

A: The objective of this problem is to find the rate at which the area of a triangle is changing given…

Q: The area of the region enclosed by the graphs of x = y² and y = √√30 x where y > 0 is: 632 70√5 3

A:

Q: Given f(x)= -5^(2x) -6 , determine • the equation of g(x) given that g(-x) = f(2x) • the range • the…

A: Given:  To Find: To determine the equation of .The range of .The x-intercept (if any) of .The…

Q: No hand written responses.

A: (A) N is discontinuous at t2, t4, t5, t7 and t8 . (B)Option A. limt→t6​​N(t)=4 Option A. N(t6) = 4…

Q: Consider the function graphed below. 7+ 6 5 4 3 AN -6-5-4-3-2-1 2 1 2 3 4 5 Determine the following…

A: 1.)a.) Amplitude: 3b.) Period: 5c.) Equation of Midline: y = 3 2.)A = 5D = 0B = π/7s =…

Q: Compute  ∫ 1/√x2-3 dx

A: Answer- I have given step by step hand written solution in the explanation box. Explanation:Step…

Q: x e cos(x) dx Se

A:

Q: Question 4 Let 4x²+20x24 x²-4 f(x) = Ax- x-1 B 1 x<-2 ' -2≤ x ≤1 x1 Find A and B, if any, such that…

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Q: Prove that 3 is prime.

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Q: pls help

A: Summary:- using basic mathematics Vector formulaExplanation:

Q: Consider lim,-8 x2 = 64. Find the maximum value of 6 such that, if |x - 8|< 6, then |x² - 64| <…

A: Consider To find the maximum value of  such that, if .

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: (-5, 2, 1) Explanation: Here, given equations of lines are…

Q: If z = 3x² + y² and (x, y) changes from (1, 3) to (1.05, 3.1), compare the values of Az and dz.…

A: ### Summary:- The actual change in z  as (x, y) changes from (1, 3) to (1.05, 3.1) is 0.9175.- The…

Q: Approximate the area under the curve by evaluating the function at the left-hand endpoints of the…

A:

Q: x(t) = -8+5t Find a plane containing the point (-4,6,6) and the line y(t) = -1-8t Calculator Check…

A: Given:a plane containing point (-4, 6, 6) and line-To find:Equation of that plane

Q: Find the curvature x(t) of the curve r(t) = (-3 sint) i + (-3 sint) j + (-5 cost) k

A: The given curve equation The curvature

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Answer is given below :-Explanation:

Q: Match the magnitudes to their Cartesian vectors. S y↑ 4 U Y 2 R T -4 -2 2 2 4 x * PQ A. 5 B. √10 C.…

A: Given the data about the vectors.

Q: Let R be the shaded region in the first quadrant enclosed by the graphs of = 1 + sin x, y=ex²-1, and…

A: Given  and

Q: What is the maximum rate of change of f(x, y) (2,0) 2x+2y 4x²+4y2 2 0 None of the above x²+y at the…

A: at the point

Q: The height of a cylinder is increasing at a constant rate of 8 centimeters per minute, and the…

A: Given a cylinder with its dimensions.

Q: Suppose you sell skateboards and equipment. Grip tape costs you $2 for each foot, Each set of wheels…

A: Let G, W, B, T, and D represent the amount of grip tape, wheels, bearings, trucks, and decks…

Q: For each function graphed below, state whether it is one-to-one. Graph 1 Graph 2 Graph 3 One-to-one?…

A: To find whether the given graph is one to one ?

Q: Find the center of mass for the lamina of uniform density bounded by x=4-y2 , x=0. Use symmetry if…

A: FINAL ANSWER:The centre of mass for the lamina of uniform density bounded by X=4-y^2,x=0 is…

Q: Determine the sum of the following series. 4n+8n Σ 13" n=1

A:

Q: Compute the following integral problems [10.x³-12.x³-5dx

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Consider the following time series data Month 1 2 3 4 5 6 7 8…

A: The answers are given below please have a look.Explanation:

Q: The volume of a cube is increasing at a constant rate of 1392 cubic meters per minute. At the…

A: The volume of a cube is increasing at a constant rate of 1392 cubic meters per minute.dVdt=1392…

Q: Evaluate S 6x In (5x)dx. 1/5 S 6x In (5x)dx= 1/5 (Type an exact answer.

A: The given integral

Q: Find the minimum distance from the point (-2, -2, 0) to the surface z = √√9-2x-2y. (Hint: To…

A: To find the minimum distance from the point .

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = 1 for f(x) = ln(x + 1). T2(x) =…

A:

Q: Solve the following improper integrals. For each of them statewhether the integral is convergent or…

A: ∫0∞​xe−x is convergent and converges to 1Explanation:∫01​1−x​1​dx is not convergent by p test it is…

Q: pls answer these question using differential solution and provide a solution no definition just…

A: The correct options are:1) D2) A3) CExplanation:

Q: λ x²y"+2xy+(3x² + y= 0, y(-1)= y(1) = 0, (x2+1)3 with eigenvalue A, can be written as a constrained…

A: λ1​≤7π32​Explanation:To show that λ1​≤7π32​ using the trial function z(x;A)=A(1−x2), we'll use the…

Q: Find the Laplace transform of ƒ (t) = 3t4 - 2 cos 7t + et. 3t4-2

A: To find the Laplace transform of the following function. Note: Since you have posted multiple…

Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

A: The arc length = 8.352 unitExplanation:

Q: Help solving. Show each step.

A: Your answer is right. To accumulate $30,000 in 18 years with a daily compounded interest rate of…

Q: +a2+C √ √√a² + u²du = ½ (u√u² + a² + a²]n]u + √u² + a² 1) + T 114

A:

Q: 5. Use the definition of the derivative to find the slope of the tangent line to the curve y = 2x² -…

A: According to the definition of derivative we can write as follows Given Function

Q: please answer this three question thank you

A: AnswersA)C)A)Explanation:Hope it helps youplease ask if you gets any doubtplease give your feedback…