dy 3y- + 4x = 0 dx

Q: Solve the given initial-value problem y' + (tanx)y = cos?x, y(0) = -1

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Q: Two functions are defined by f: x ax + I andg:x 4b **1, where a and b are constants. Given that f(a)…

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Q: B: By using Homogenous method solve the first order differential equation (1+ e») dx - ely (G-1) dy…

A: Let's find.

Q: The solution of the differential equation below is dy 3y +4x = 0 dx

A: Let's find.

Q: 2 Find the Inverse Laplace transform f(t) if given the Laplace Transform function 1 F(s) = using…

A: Use partial fraction

Q: If D=d and Y= Cost The Cos X =

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Q: If f is differentiable at a number, x, then f is continuous at x.

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Q: Let f : R → R be an odd differentiable function. Define F: R2 → R by F(x, y) = f(x² + xy+9y²). (a)…

A: This is a problem of differentiating function. Based on the concept of partial differentiation we…

Q: 4 The net signed area in the above graph can be written as (mæ + b)dx, where c = d and b = = U

A: The net signed area in the above graph can be written as ∫cdmx+b dx, where c=?,  d=?m=?, and b=?

Q: 12. Find an equation for the tangent plane to the surface given by 2xy = 2z2 - ryz at the point…

A: Use tangent plane formula

Q: A factory selling cell phones has a marginal cost function C(x) = 0.01? -3x + 229, where z…

A: Given problem:- A factory selling cell phones has a marginal cost function C(x) = 0.01x2 - 3x + 229…

Q: Compute f(x)dx (6 points) f(x) = { 2x if x<1 4 if x21

A: In this we have to do the integral of given function so I'm providing hand written solution for this

Q: Find the radius of convergence and the interval of convergence.

A: Solve by  formula

Q: If f(x) t*dt then 0. f'(x) ||

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Q: dz Find if z = 16x5 – 18x³y3 + 9y – 4. %3D ay az %3D ду

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Q: Let y = (2x + 2 sin(x))“. Find f(x) and g(x) so that y = f(g(x)) and compute the derivative using…

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Q: f(u) = u + u g(x) = cos (x) Find the following function and derivatives. (Express numbers in exact…

A: We have to find out function

Q: S cosh? 2x sinh² 2x dx

A: This question is based on indefinite integral.

Q: Find the points on the curve where the tangent is horizontal or vertical. You may want to use a…

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Q: I z x sin(y²)d.xdy Calculate

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Q: Dwing equations Is an exact different: v = 0 2xydx + (2 + an 1 O

A: We have to choose the correct option from the given options according to the given information

Q: Three equally sized corrals are constructed next to a river. if the area to be enclosed is 19600…

A: Use concept of minimizing of fencing

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Let's find.

Q: Show that the lines L1 : x =1- t, y = 2t, z = 4+t and L2 : x = 1+ 3t, y = 3 – 6t, z = 5 – 3t are…

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Q: Find the average value of f(x) = v9 – x over the interval (0, 3]. Write the exact answer. fave 1…

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Q: 2x and y 4x?. Sketch the region enclosed by y Find the area of the region.

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Q: Sketch the graph of an example of a function f that satisfies all of the given conditions. f(x) = 4,…

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Q: H.W. Solve the fallowishg first order OE -3= \-yャメ- %3D y3 5-0 J2. Sinx

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Q: The intelligence quotient, or 1Q, is a measure someone ability to reason and solve problems (some…

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Q: Assuming x E Z. Prove 2|(x – 6x + 5) → 2}x a|b b = ke Z a 6. = 2 € Z 3 3|6 is True because 4 3+ 4…

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Q: If f is continuous at a number, x, then f is differentiable at x. True

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Q: Let f(x) = 10x6 + xx² + e2x. Compute f()(x). (Use symbolic notation and fractions where needed.)…

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Q: Find two linearly independent vectors perpendicular to the vector 4 -7

A: This question can be solved using the concept of linearly independent vectors.

Q: 12 9.

A: Use Trigonometric ratios

Q: Calculate the limit. x2 – 9 lim х-3 х2 + 5х — 24

A: limx→3x2-9x2+5x-24

Q: The total sales, S, of a one-product firm are given by S(L,M) = ML - L², where Mis the cost of…

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Q: 125 and y = 10. y? y = x, x =

A: answer is in next step

Q: The intelligence quotient, or IQ, is a measure someone ability to reason and solve problems (some…

A: This question can be solved using the concept of normal distribution.

Q: Evaluate the following .5 |x² – x – 6| dx -5 1.

A: First partition the domain for mod function then integrate accordingly

Q: Estimate the area under the graph of f(x) = 36 – x² over the interval [ – 6, 4] using eight…

A:

Q: The equation of the tangent plane to this ellipsoid at (1, –2, –2) is The vector parametric form of…

A: Let's find.

Q: Find the relative maximum and minimum values. f(xy) = 4x - 2y?

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Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: Let Sx² + 3 f(x) = l(x - 2)2 if x 2 1° if x < 1 (a) Find the following limits. (If an answer does…

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Q: There is a line through the origin that divides the region bounded by the parabola y = 4x – the…

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Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in…

A: This is a problem related to derivative of the function. Derivative of the distance function give…

Q: Find lim f(x) for the given piecewise function. X6 2x + 1 if x 6 If the limit does not exist, enter…

A:

Q: Calculate the (f(g(x)))' and (g(f(x)))' derivatives if f(x) = x7 1 g(x) = 5x + 1 (Express numbers in…

A: Given; f(x)=x7 and g(x)=1/(5x+1).

Q: 269. A bomber plane, flying horizontally 3.2 km above the ground is sighting on at a target on the…

A: We have to find the speed of plane.

Q: 1. F'(x) = 2x ; F(1) = 2 2. F'(x) = 4x +1; F(2) = 6 3. F'(x) = 3x² + 2 ; F(-3) = -32 4. F'(x) = 4x³…

A: Apply integration both side with respect to x