Find dy/dx: solution in handwritten 1. y = 5* (** + dx VE х4 3 -x²,

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Q: Given, A = 2? zi – 2332j+ x} zk. ind divA at the point (1, –1, 1).

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Q: determine which statement is true

A: Follow the procedure given below.

Q: Find the differential dy of the given function. y = V3- x² dy

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Q: 5- If Die is rolled find the probability that never appear 2 a) b): d) 3

A: The objective of the question is determine the probability.

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Q: The triple integral SLS (x+2y – 2)dxdydz is equal to -8 -1

A: This can be solved as follows:

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Q: Use the mean value theorem to prove the inequality for all a and b: |sina – sinb| < |a – b|.

A: Let, f(x)=sin x then the function is continuous and differentiable for all the real numbers hence on…

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. V64–x² ~80–a²-y² x dz dy dx -48+x²+y²

A: We know that integration of Xn is xn+1/n+1.     Here i attached the solution of this question.

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Q: Activity 2. Antiderivative of Trigonometric Functions Directions: Evaluate the folowing integral.…

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Q: у2 3 csc2 5x cot? 5x — CSC+ 5x сot? 5x

A: Use chain rule to find derivative

Q: The non-homogenous solution of the following equation by using variation of parameter method y" + y…

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Q: sech (r?t2 using logarith mic differon Tiation ニ r

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Q: 2.) Suppose E is the solid which is inside the sphere x + y² + z° = 4_and above the plane z = v3 .…

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Q: From the graph below which statement is true?   (A) not a function (B) function; range: R (C)…

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Q: Find the vector

A: The vector r=&lt;a,b&gt; is written as, r(i)=ai+ bj

Q: 1. Find the derivative of the following: (Simplify your final answers.) (a³-8)° (Va²+4) g. g(a) =…

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Q: 4. Find the arc length of r = cos? (0/2), 0 s 0 s 2n.

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Q: 1 q(x) = cot-1 ( V1-πx2

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Q: Let R be a variable and r a constant. Compute the derivative. d :(° · R') = dR

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Q: Answer the question. Show ALL your steps in your calculations. Answer in complete sentences. 8…

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Q: determine which statement is true y = (x + 2)2 + 2  (A) not a function (B) function; domain: R…

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Q: 8. If F(x)= dt, then F'(x)=

A: Using Leibnitz rule for integral.

Q: A conical surface is defined as 0 = 30°,0 < y< 2n,0<r< 2, the lateral surface area is what?

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Q: Evaluate: S Vx(x – 5)dx

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Q: Next, simplify. - 3t dt = dx

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Q: In a trend that scientists attribute, at least in part, to global warming, a certain floating cap of…

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Q: x² – 3x – 2 - if r<-1 x – 1 x + 3 f(x) = if - 1<x < 1

A: limx→-1-f(x)=limx→-1-x2-3x-2x-1=(-1)2-3(-1)-2-1-1=1+3-2-2=-22=-1

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