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Q: 5. eу-2*(1 + x?)dx + сos y dy %3D 0, when x %3D 0, у %3D0 2e2* (сos y - sin y) + еУ(2x? + 2х + 3) %3...

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Q: Consider the vector field F(x, y) = . a. Determine whether F is conservative. If it is conservative,...

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Q: Suppose z varies directly with y and directly with the cube of x. If z = 5184 when x = 6 and y = 8 %...

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Q: (y3-y2sinx-x)dx + (3xy2+2ycosx)dy = 0 solve using exact differential equation

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Q: 2x dx V5 + 4x – x²

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Q: (х2+x+8)dx (x2+3х-4)

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Q: Juestion 1. Consider the function 2.r - 1 f(x) = " I-1 a) Determine the largest domain on which the ...

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Q: Evaluate the following integral. JJJ (xy + xz + yz) dV; D = {(x,y,z): - 4sxs4, - 2sys2, -6<zs6} JI (...

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Q: Question 25 > Given f(x) = x, after performing the following transformations: shift upward 88 units ...

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Q: (a) Find all second partial derivatives of f(x, y) = e² + tan(x + y²) (b) Find and classify the crit...

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Q: Exercise 3. Consider the following Riemann sum. - 1) \2 i=1 a) What definite integral does it corres...

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Q: Determine the interval of convergence of this power series: 1+ 2x + 3x² + 4x³ + 5x*+..

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Q: Let f(x) = 2e". Find the most general antiderivative. F(x) :

A: To find the antiderivative (integration): f(x)=2ex

Q: Write all answers with numbers rounded to two decimal places. In Calculus the derivative of mononomi...

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Find the area of the shaded region. NOTE: Enter the exact answer. y = x² + 3 y = x 4

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Q: Evalute the following double integeres

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Q: For the given function f(x) and values of L, c, and e > 0 find the largest open interval about c on ...

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Q: For problems 1-3 use Newton's Method to determine x2 for the given function and given value of xo. 1...

A: Our guidelines we are supposed to answer only one question. Kindly re-post other question as the nex...

Q: Construct a table of values for each, sketch its graph and describe the properties being exhibited o...

A: 1) y=4x Table ÷

Q: A wire 7 meters long is cut into two pieces. One piece is bent into a equilateral triangle for a fra...

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Q: Jse Stokes' theorem to evaluate F. dr where Cis oriented counterclockwise as viewed from F(x, y, z) ...

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Q: Find an equation of the plane tangent to the following surface at the given point. 4xy + 3yz + 5xz -...

A: The solution of the problem is given in the next step.

Q: y = x3 – 3x? – x + 3, find all the local maximum and minimum of y.

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Q: The straight line /, passes through the points A (1,-) and B (4,). i) Find the gradient of line /, i...

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Q: Parks In numbers 5 and 6, a map of a park is shown with bridges connecting islands in a river to the...

A: There are five areas of park. Let us label them A, B, C, D and E. p, q, r, s, t, u, v and w are the ...

Q: Find the solution set of 32x+2 – 28(3")+3=0. -

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Q: ( (x²+x+8)dx (x2+3х-4)

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Q: 22+44=

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Q: Determine the Inverse Laplace Transform of 21 F(s) = s2 + 12 + 2js + j² I. Choose the correct format...

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Q: QI) Find the directional derivative Duf (x, y) of the function f(x, y) = evx2+y² at (2,0) in the dir...

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Q: Find the volume of solid generated if the area bounded by each of the following curves is revolved a...

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Q: An oil tanker is leaking oil at a rate given in barrels per hour by the function shown below, wheret...

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Q: Show that the functions e^x , e^2x , e^3x are linearly independent.

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Q: - dx dz dy . x² +z? Evaluate the iterated triple integral

A: To evaluate the triple integral: ∫02∫0y∫0z3zx2+z2dx dz dy

Q: What could be the potential equation ?

A: Here, the given surface is of the cone on y-axis.

Q: (D² + 9)y = 5e* - 162x

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Q: 4. tanx dy + y3 sin? x dx %3D 0, whe х %3D0, у%3D 1 о у?(3- сos 2x) %3D2 о у (сos 2x - 2x) %3D 1 о у...

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Q: Use the Divergence Theorem to calculate the outward flux of F = (r3 + y, y + z3, z3 + 23) across S: ...

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Q: Find the volume of the solid which is (a) bounded by x+ y+z = 4 in the first octant.

A: As per our guidelines we are supposed to solve only one question. For the solution follow the next s...

Q: 7) e* Cos 2x

A: The function is  f(x)=e-xcos(2x)

Q: Question 1. Consider the function 2.r – 1 f(x) = r -1 a) Determine the largest domain on which the f...

A: note: as per our company guidelines, we can answer only three sub parts of a given question. Kindly ...

Q: 1. Find a function y = f(r) having at least three inflection points and sketch its graph. [Note: To ...

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Q: A particle started to move from the origin along a curve with velocity given by the function v(T) = ...

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Q: Graph the curve described by the following function, indicating the direction of positive orientatio...

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Q: 16. If the average annual income of 15 workers is Php. 66,000.00 and six of the workers made Php, 30...

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Q: Write all answers in exact form as improper fractions if needed. The quadratic formula gives solutio...

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Q: (2st +t²)ds – 3s²dt = 0,when s = 1, t = -1 8st³ = (s – t)² o s³t = (t – s)* o 8st3 = (t – s) o t = (...

A: To solve the given differential equation problem. 

Q: 1. Find a function y = f(x) having at least three inflection points and sketch its graph. [Note: To ...

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Q: • We have 2x 2y Vf(x, y, z) = i+ +1)j+6k. x² + y²- 1 x² + y? – 1 | Thus Vf(1,1,0) = 27 + 37 + 6K.

A: We have to show the steps for the above equation.

Q: (x²+3x+5)dx (x-2)((x²-9X+9)

A: The partial fraction method can be applied to a rational function when the numerator has a lesser de...