1009 1010 R= E (2k) =2+4 +6+ ... +2018 and S= 2 (2k- 1) = 1+3+5+...+ 2019. What is the value of R- S? Suppose k =1 k=1

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A: We have to find range of give function.

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A: Find the 23rd term of the arithmetic sequence

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A: Given problem:-

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A: The given vector field is: F(x,y)=5x2i+5y2j Let, F(x,y)=F1i+F2j⇒F1=5x2, F2=5y2

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A: Given: cos(x+y)=x

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A: This question is based on diffrentiation.

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A: We can solve as follows

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A: As per our norms we have to write three multiple questions at a time kindly repost remaining…

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Q: Determine whether the improper integral converges or diverges. Evaluate the integral if it…

A: To evaluate the value of  ∫-∞∞7x2+4x+8dx=7∫-∞∞7x2+4x+4+4dx=7∫-∞∞7(x+2)2+22dx

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A: Let's find.

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A: The derivative is given below

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A: Area bounded by curves :   If f(x) and g(x) are two continuous function on a,b and f(x)≥g(x) on a,b…

Q: Solve for x in the following expression using the quadratic formula. 3x2 + 19x – 4.9 = 0 Use at…

A: We can solve this as follows:

Q: 14. Evaluate L{e" cos(30)}. s-4 A) s - 8s +25 B) s - 8s + 25 4 C) s - 8s + 25 s+4 D) s - 8s +25

A: As we know that the Laplace identity; 1). If Lft=Fs then Leatft=Fs-a  2). Lcosat=ss2+a2   Given:…

Q: 5. By Chain Rule , evaluate a. y' for y = u? + 4u and u = 4x3

A: This question is related to Differentiation, We will solve it using given information.

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A: Given that,       r1(t)=9t i+4t2j+5t3k,   r2(t)=t4k

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A: We have to answer following Questions.

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A: Solution is done in step 2

Q: [1 1 1] Suppose we have a matrix A= |1 0 1 2 1 2 What is rank of A?

A: GivenA=111101212R2→R2-R1R3→R3-2R1A~1110-100-10R3→R3-R2A~1110-10000We know that The rank of a matrix…

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Q: Determine whether the improper integral converges or diverges. Evaluate the integral if it converges…

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