Let cos(t) sin(t)] t3 t² t4 t and B(t) = 2 [-sin(t) cos(t). Verify that (AB)'(t) = A' (t)B(t) + A(t)B'(t).

Q: a>0 is constructible, then asqrt(a) is also constructible

A: If a>0 is constructible, then we have to prove that   is also constructible.

Q: State and prove the first fundamental the orem of calculus and its importance?

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Q: Proof fourier transforms? ax e Caz0)

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Q: Express F = BC'+ AB + ACD in canonical form (both SoM and POM).

A: A B C D BC' V ACD F 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 0…

Q: What is the product when f(x) = 3x² + 2x - 4 is multiplied by g(x) = 4x² + 2 in Z₁ [x]?

A: Consider the polynomials fx=3x2+2x-4 and gx=4x2+2. To find the product of polynomials fx and gx…

Q: Evaluate (p → q) ^ (¬p → q) = O p→q O q O pnq O p

A: We evaluate

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A: Given expression is  y3−1=0 To determine whether y is an integer or not for any value of y.

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A: I have stated the used formula in the solution

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Q: State all of the maxima and the each function location locations Where the local for ottar local…

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Q: Perform the indicated operation and express the result as a simplified complex number. (5 + 7i) (4 –…

A: We have to simplify the following complex number -  (5+7i)(4-i)

Q: cot2 x+1 2. sec(2a) 11 cot2 x - 1 1

A: We will start with the right side. Replace cot x by cosx/sinx Then use LCD to add or subtract…

Q: Prove that

A: We have to prove given result:

Q: differientiate 6x^2 -7x + 5/x^2

A: Explanation of the answer is as follows

Q: 2x^2+2y^2+8x+7=0 Find the center and the redius

A:

Q: *Geometry at an Advanced Viewpoint* in $(z) = ez + 2 Write as a product of two reflections.

A: Given: The given function is ϕz=eiπ3z+2

Q: Determine the order and the degree: ((a^3 x)/(at^3 ))^2+7((a^2 y)/(t^2 ))^4=t+u A. Order – 4; Degree…

A: Order of a differential equation is the order of the highest derivative (also known as differential…

Q: Simplety (xc+-x(+ -2(42)을 @) 2. (D) (@) 2x(112)2 -1

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Q: (²)

A:

Q: Wueslien no 0BN Banach space 3. Show that R is a

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Q: What is an equivalent expression for (z+y) (z-y) that is true for all values of x and y?

A: So option (d) is correct.

Q: 5 - x2 + 2x – 3 = 0

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Q: (Rez)(Imz) (b) lim z→1+i

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Q: COMPLEX ANALYSIS: Find all possible values of z when 1. (z-1)^3=i 2. |sinz|>1

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: If Z=1//2+j/v2 then the value * ?=of conjugate of Z^5

A: According to Euler, the complex number of the form cosθ+isinθ can be written as eiθ. The conjugate…

Q: producf inner Give the definition of the complex space.

A: In this question we have to give the definition of complex inner product space.

Q: a)find fourier transformation f(x)=x in range (0,10L) b) find fourier transformaion Slx) in range_3…

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Q: Find the length of BE 3x +47- 10 C x+27 x+26-

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: