Differentiate ex with respect to x, assuming that y is implicitly a function of x.

Q: 2. (x² + y² + 1)dx + x(x − 2y)dy = 0

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Q: (m) X + x + 1 dx Oseparable exact Olinear in x Olinear in y homogeneous Bernoulli in x Bernoulli in…

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Q: Triple Integical пун Evaluate SS * cos(y) dz dx dy.

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: 6. If : G H and 8: H K are both homomorphism, so is 0. • : G → K.

A: We can solve as follows

Q: Sketch the following surface: (2+4)² + (y-1)² = 1 a.) Draw the projection on a xy plane Show…

A: The eqaution is given  (z+4)2 +(y-1)2 = 1

Q: What does the following equation represent in R O None of the others O Sphere O Plane O Line O…

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Q: 2π 1. The region R is bounded by the x-axis, x = 0, x = 3 A. Find the area of R. sin(). 2 and y =…

A: Given: Region R is bounded by x-axis, x=0,x=2π3 andy=3sinx2

Q: If # f(x) > 48 for x [2,10], then b [ f(a) da ≥ 384, where a =2 and b = 10. a Select one: O True O…

A: First I have written a property of integral and easily find the True is correct option.

Q: г 3x +4 x3их н dx

A: We can find and explain the answer with proper reason as below.

Q: Choose x such that the following two vectors are parallel u= and v= O -7 O None of the others 07 O…

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Q: The Maclaurin series of the function f(x) = 8x² sin(6x) can be written as f(x) = Σ₂² n=0 where a few…

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Q: Initially 100 milligrams of a radioactive substance was present. After 9 hours the mass had…

A: Here is the solution:

Q: We have two curves that limit the type Il region, on the right is the graph of the line x = y + 2…

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Q: B (2x + 3y² +42³) dV, where B = {(x, y, z)|0 ≤ x ≤ 1,0 ≤ y ≤ 2,0 ≤ #≤ 3} 08 192 170

A: dv = dxdydz And put the limit of integration.

Q: Graph the function. = (x) = -4 X for-4<x<-1 for -1 < x < 4 -x² +16 for x ≥ 4 16 11 V 15- 14. 13- 12…

A: Consider the function  Consider the function    z(x)=-4                     for  -4&lt;x&lt;-1x…

Q: 8 mi P 4 mi

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Q: -0.1 0.9062cos (1-√√3x) d x 吧。 (1-√³x)]" [sin (1- sin (1-√√3a) - sin (1-√√3(-0.1)) sin (1-√3a) 1-√3a…

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Q: find the divergence of F. I Y F(x, y) = -√2²17³1 + √z²+z³³ +y O div F = 2(x+y+z) O div F= 1 1²+y²

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Q: Rewrite as an exponential equation_ log₂ 27=3

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Q: Find the total area of the shaded region shown to the right given by the curve y = 2( sin x)√1+…

A: We can solve this as follows:

Q: B-Find the area of the region inside the carver-1+cose and outside the curve -1 and graph the two…

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Q: 46×12

A: Find value of 46×12

Q: Find positive numbers x and y satisfying the equation xy=9 such that the sum 3x+y is as small as…

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Q: fx tan x x dx

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Q: If A is square matrix of order 3 such that|3 A| = 54. Find |A|

A: Using the properties of determinants

Q: Hos solv the step? ₁0.9062cos (1-√3x) d x [sin (1-√√3x) -√√3 √³x)] -0.1 -0.1 sin (1-√√3a) - sin…

A: We have to solve the step  sin(1-√3a)= -0.9556+0.9210

Q: 4677×34677

A: 4677×34677= 162184329

Q: solve 2x+1 = x2

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Q: L sin2t cos3t

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Q: Find dy/dx if xy+2x+3y=1

A: Find dy/dx  if xy+2x+3y=1

Q: Let a be a real number. Evaluate the following integral: So fx + y dady -1

A: when using double integral we treat one variable as a constant while integrating with respect to…

Q: (x²+1)³ .dx

A:

Q: Sinize da Cos2x-5 Cosse +4

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Q: Find the roots of: (D4 + 6D² + 9)y = 0

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Q: If ƒ_¹₁√√√¹-y² x² + y² dxdy is changed to equivalent integral in polar coordinates, then the…

A: The objective of the question is evaluate the definite integral using polar co-ordinates and choose…

Q: AXB=[% O O O O O Given the following matrices A-B-²3³] [8 12-241 So 16 24 -48 a. a=6, b=6 Ob. a= -6,…

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Q: Hos solv the step? 0.10.9062cos (1-√√/3x) d x [sin (1. (3x) 3 sin (1-√√3a) - sin (1-√3(-0.1)) sin…

A: To find the given step how to came from the above step

Q: A company selling baseball gloves has fixed costs of ​$1300​, and it costs an additional ​$22.71 to…

A:

Q: Q5 \ Find a root of an equation Bellow by using Bisection method Where the accurate to at least…

A: Here we have to use the bisection method for the solution.

Q: Evaluate the following integral using inversion of order: SS²x5 dydx

A: I =∫xn dx= xn+1n+1 Ans = 1/72

Q: ind the volume of the solid whose base is a triangle with vertices (0, 0), (0, 5), and (5, 0).…

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Q: For a given cylindrical tank, the radius is 7 m and the height is 15 m. The tank is filled to a…

A: Use workdone formula for finding the work

Q: Find the roots of: (D² - 4) (D2)y = 0

A: To find the roots of the given equation D2-4(D-2)y=0

Q: Please solve the bottom question.

A:

Q: The z-transform of [n] = u[-n] is

A: Using Z transform

Q: 2. Factor. a) x² 18x + 81 b) x² - 2x - 15 c) x² + 2x - 24 d) x² + 6x-40 e) x²+x-30 f) x² + 3x-35 g)…

A: Please follow the next step.

Q: The directional derivative of f(x, y) = xe + cosxy at P,(2,0) in the direction of the vector 3i - 4j…

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Q: Evaluate the indefinite integral Select one: O a. 1 (1 - √√x)4 1 O b.. O c. - + C (1 - √√x)² 1 + C +…

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Q: Find equation of langent line y=-6-2x-3x² at (1,-11)

A: To find the tangent line.

Q: If [ f(x) dx = 18, then √ (f(x) + 4) da is equal to: A B с D 20 22 25 30

A: Evaluating the given definite integral