Q5/ Determine the total differential If Z = f(x,y) = x²y², x=2rcose, y=2rsinė

Q: Which of the following describes the graph of h(x) = -2(x+3)+4? 4 h(x) 2 -6 -5 4 -3 -2 2 3 4 5 10 6…

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Q: Determine lim f(x) given the definition of f(x) below. (If the limit does not exist, enter DNE.)…

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Q: The tangent line to the curve ³ + y³ = 9xy at the point (4,2) intersects the y-axis at y = -1. -2.…

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Q: Find the integration by applying (by part method) f Sin-¹y dy

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Q: 2x²+x 2. lim x-0 5x

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Q: Determine whether the series converges. The series 8 k=1 13 15k

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Q: L Direction: Identify whether the following functions are continuous or not at x =4. Write your…

A: Given problem:- Direction: Identify whether the following functions are continuous or not at x = 4…

Q: 10. Show that these two lines are coincident. [x, y, z]= [1, 5, -2]+s[1, 7, -3] [x, y, z]=[-3, -23,…

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Q: 14. State whether the following pairs of planes intersect. If the planes intersect, determine the…

A: The planes are,π1: x-y+z-2=0 and π2: 2x+y+z-4=0

Q: Figure #2 a: I in b: 2.5in C:2.5in Figure #3

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Q: What is the sloe of the tangent line to the curve x = 3 sin y at the point (0, 2π)? 3. O O ا انت 3…

A: What is the slope of the tangent line to the curve x= 3siny at the point (0,2π) ?

Q: i can't understand the text. can you please write it on the paper? thank you

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Q: (1+x)n

A: We can solve this as follows:

Q: An open box is to be made from a square piece of cardboard of side 12 inches by cutting out squares…

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Q: Q5: Use the method of variation of parameters to find the general solution to the following…

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Q: II. Evaluate the following: 1. f(x³ + 3x²)dx 2. f(x++2x²+1) dx 3. f(x³ + 3)dx

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Q: Consider the following differential equation. (x + 1) + (x + 2)y = 4xe-x dx Find the coefficient…

A: Transient term in a general solution of a differential equation are those terms that tends to 0 as x…

Q: Which point is not a solution to the equation 3x - 4y + z-12=0? a) (-8,-9,0) b) (4,1,4) c) (16,10,4)…

A: The point which donot satisfies the equation will not be a solution .

Q: 7.) cot 2x dx 8. (sin x + x) dx 9. J (cos x sin2x) dx

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Q: Determine whether the differential equation (7x+8) + (7y - 7)y' = 0 is exact. If it is exact, find…

A: To determine that the differential equation is exact or not.

Q: If f(x) = sin(x), which of the functions or theorems describes the average rate of change of f(x)…

A: Solution

Q: find a rule which describes the given numbers in the sequence 2. 1.1/8, 1/27, 1/64, 1/125..

A: Here is the solution:

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

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Q: 9. a. Explain why the Cartesian equation 2r-5y +3= = 2 does not describe the plane with normal…

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Q: Please do not handwritten your answer, pure typewritten only!

A: We have to prove that product xy of two real numbers x and y is nonnegative if and only if the…

Q: se the formula FV = PMT(1+i)-1 i

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Q: If we use IBP to evaluate Ixe xe²x dx, then the most suitable choice for u and dv are

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Q: 36. Which one of the following is true for all z ER? (a) z sin(2) dx = (1-2) cos(x) + C (c) (b)…

A: Now that we know that the integral of x sin x is equal to −x cos x + sin x + C, we will derive this…

Q: Find the determonant of the matrix A = 1 -1 -2 2 1 -21 -1 4 2 2 1 3 -2 1 2 -31

A: Topic = Determinant

Q: A quantity V with magnitude V≈ 6, 680 was measured to 4 significant figures. Give an estimate of the…

A: Solution

Q: Find dz/dt where z = 2xy - x² y² and x = 2t, y = t² at t=1

A: I have solved the problem with two methods.Final solution is in the box.

Q: (b) In an oil refinery, a storage tank as shown in Figure 1 contains 2000 gal of gasoline that…

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Q: Use Simpson's Rule with n = 10 to estimate the arc length of the curve. Compare your answer with the…

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Q: Use the formula: PMT= (PV) 1-(1+i)*

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Q: a. Find an equation of the tangent line at x=a b. Use a graphing utility to graph the curve and…

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Q: e will examine two procedures in the use of partial integration (See image) a) Procedure 1: Derive…

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Q: Suppose you know that: • f(0) = - 18 f(1) = -17 • ( f (y) et dy = 10 Evaluate: [ = f'(t) et dt

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Q: The definite integral that will give the area of the region S using HORIZONTAL strips is +9 Solve -…

A: The simple integration using diagram... Find out area

Q: (x + siny - cosy + 1) dx + (xsiny + xcosy)dy = 0

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Q: Determine if the following integrals converge or diverge. If the integral converges determine its…

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Q: B/ Find the value of 1. tan+e O 1 2 dx 2. tante

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Q: The function f(x) = 2x³-36x² + 210x + 11 has one local minimum and one local maximum. Use a graph of…

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Q: Consider the region R shown in the figure below and take note of the following points of…

A: Given.

Q: Evaluate the iterated integral y² T² (4x+10y) dxdy. 0 O O 11 10 0 -1 O 1 O All of the above Y 11 10…

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

Q: Compute Au, where A Au = = 1 (56) 4 and u= (9).

A: The simple matrix product..

Q: Solve the given differential equation by finding, in-imanapi 12xy dx + (4y + 18x²) dy = 0 Sectioner,…

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Q: Solve in terms of Besselis Function, 21/ the ODE : x²y + xy + ((nx) + = /y =o let Z=Lnx

A: Given data:-  Ordinary differential equation is x2y''+xy'+((ln x)2+14)y=0 And for substitution z=ln…

Q: Q4A/ If y=x sinx+√1-x², then dy/dx is: 1.√1-x² sin-¹ x 2. sin(x) O 1 O 2 x cos(x) sin(x) sin(x)2

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Q: Evaluate the definite integral 2 L² ( 1² + 7) dt ? O 28 3 O 70 3 O 10 O 24 O All of the above 20…

A: * We have to evaluate the definite integral ∫-12t2+7dt . * We have to identify the equation of the…

Q: Match each equation with the graph of f, g, h, or k in the figure. (A) y = 6* (B) y = (0.6)* (C) y =…

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