2. у — 2

Q: Jasleen saved Rs 5 in the first week of the year and thenincreased her weekly savings by Rs 1.75 eac...

A: the first week savings are Rs.5 as Rs.1.75 is added to it every week. total amount saved for (x+1) n...

Q: x' = (x + 3)(x + 2)³(x + 0.5)²(x – 1) How do I obtain the constant (or equilibrium) solutions, and h...

A: Here given  x' = x+3x+23x+0.52x-1 Now solving the above differential equation : ⇒x' = x+3x+23x+0.52x...

Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do no...

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Q: Evaluate the limit using L'Hospital's rule if necessary lim 15xe/x - 15x -

A: The above question on limit is solved below(in detail).

Q: What is the exact area bounded by the curve f (x) = - and the x-axis on the interval [1, e]? Write t...

A: Topic -area under curves

Q: メy'dx + (yti)e dy

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Q: Determine the projection of the following surface on the xz plane -y+ 름 =1 O Ellipse O Parabola O Hy...

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Q: By inversion of order, the integral 23 zy dy dz is equivalent to 3 3z/2 ry dz dy OJ. S ry da dy 3y r...

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Q: Suppose a 3D solid has as its base the region in the first quadrant enclosed by the lines y = I, y =...

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Q: a(x,y) (a) Find the Jacobian for the transformation x = e® sin u, y = e" cos u. a(u,v)

A: According to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: z = In (VT" + y") If With n e N, n > 2, Then the result of 2 (dz dy dz n Corresponds to: "-1 + y"-1 ...

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Q: dy sin³x dx tan y

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Q: Savannah gets a gift card with a value of $75, and her favorite drink (a plain black coffee) costs $...

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Q: Determine if the function has an inverse by verifying if it is one-to-one: ?(?) = ?2 + 5 where ? ≥ 0...

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Q: Find the general solution of the differential equation. (Use C for the constant of integration.) (ex...

A: Topic - differential Equation

Q: Find the particular solution of the differential equation. Express the solution as y = f(x), where y...

A: see below the steps for the solutionhere we will find the complementary solution and particular solu...

Q: (b) What does the result from part (a) tell you about horizontal asymptotes? 5z -8 32. lim 2-00 4x2 ...

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Q: 1. Given f(x) = x- 3x – 4: a) Find f(-4). b) Find x so that f(x) = -4.

A: Given:   1. f(x) = x2-3x-4       Find f(4) and  value x if f(x) = -4

Q: Graph y = -3 sin ( 3 (3(x-=))-5

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Q: I need the answer as soon as possible

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Q: 2x + 2 ' /4x² + 8x + 13 Evaluate : sin dx.

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Q: У %3 (x + у—4)* with y(0) 3D 0. u = u' = How do you obtain the substitution and also how to we obtai...

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Q: Consider the region graphed below: What is the boundary of this region? From the 8 choices, select a...

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Q: 4ae* Let a be a real valued constant. Find the derivative with respect to x: y = nta. O y (x) = 16ae...

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Q: 1. Find the roots of x² + 8x + 11 = 0. Solution: x +8x = x + 8x + (x +? = 5 and X1 = *X2 =

A: Solution..

Q: 21R y's cos y ; ycu) = 2.12 y'= coš y ; y(H) 2.

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Q: The graph of an exponential function is shown below as a solid blue curve and its asymptote is drawn...

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Q: Use the method of Example 8 to find the given linear system. 5x1-3r2 -1 6.r1+2=5 %3D NOTE: Enter you...

A: 5x1-3x2=-16x1+x2=5To find the solution

Q: For each piecewise linear function, find the following. (If an answer does not exist, enter DNE.) 2 ...

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Q: Identify the inside function, u = g(x) and the outside function, y = f(u). (Use non-identity functio...

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Q: Je b. Find of f(x,y) = ye*"? ax' ay %3D

A: Use logarithmic differentiation to solve it.

Q: 2 2 2 2 x²dy =l-x+y -xy 1-xナy -XY dx

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Q: Evaluate the integral. (Use C for the constant of integration.) X + 14 dx + 2x + 5

A: Topic - integration

Q: Determine whether the integral is convergent or divergent. 00 1 dx x2 + X 8.

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Q: Find the work done by the force field F(x, y) = (x^2-lny)i + (e^x^2+y^2)j on a particle that travels...

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Q: 252 y'= cos y ; y(4) = 介

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Q: A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away ...

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Q: #4-5. A pen that includes 6 enclosures, as pictured below, is formed, using 1200 linear feet of fenc...

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Q: The point P(4, -2) lies on the curve y = 2/(3- x). (a) If Q is the point (x, 2/(3- x)), use your cal...

A: Here is the solution of the given problem one by one.

Q: Determine whether the integral is convergent or divergent. e-vy dy convergent divergent If it is con...

A: Here is the solution of the given problem.   

Q: This exercise uses the population growth model. The population of a certain city was 106,000 in 2014...

A: Here we have, The population of the certain city was = 106, 000 in 2014, and the observed time for t...

Q: Consider the series n+11 (4p)** na (19p)" with o constant such that p> 0. The condition that p must ...

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Q: Show that : log (1+x) dx = log, 2 1+x? 8

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Q: Given a polar coordinate system, which of the following limits represents a circular region with a h...

A: A circular region with a hole in it is a figure with 2 concentric circles with 2 radii r1 and r2 whe...

Q: Show that : log (1+ x) 1+x? dx = log 2 8

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Q: Determine the projection of the surface - y = 3. on the yz-plane? (Hint: x = 0) O Parabola O No answ...

A: Given:      Surface x23-y2=z       By putting x=0 we get             023-y2=z          

Q: 21R y's cos y y(4) t. =#

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Q: Q3: Use Gauss-Siedle method to solve the following system; choosing (0, 0.0,0) as the initial approx...

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Q: 1 5earctan(y) dy -1//3 1+ y2 3 1+ у2

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Q: Find an equation of the tangent line to the graph of f at the point (2, f(2)). f(x) = xVx2 + 60 y =

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