cosh(z) Evaluate 6- dz, where C:|z– 2i|=1, counterclockwise. - 4

Q: (b) Find A fo given that fo = 3, f1 = 12, f2 = 81, f3 = 200, f4 = 100, f5 = 8

A: Forward difference table is given below: x y △y △2y △3y △4y △5y x0 y0 △y0=y1-y0 △2y0=△y1-△y0…

Q: √ √2²²² dx = S 2x³ √1-x4 Hint: Use substitution with u = 1−x²4

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Q: Find the y sec! (+) %3D

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Q: f(z) %3D

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Q: Using Romberg's rule, approximate $²2dx.

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Q: Let u = and v=. (a) Find ||u||. (b) Find u – 3v. -

A: Given: u=1,4,3  and v=2,0,-1

Q: Pls

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Q: L-1 (s+1) (s²-1)

A: We have to solve given problems;

Q: SSsin(x – y )tydx . (i) Evaluate 00

A: Here we solve only first question, because question number is not mentioned. If you want more help…

Q: Fill in the blanks : See the attachment.

A: Given: x=--4±-42-41221 Simplifying given equation: x=4±16-82=4±82=4±4×22=4±222=22±22=2±2

Q: V16-x² .4 Evaluate: [4 16-x² J/x²+y² dz dy dx

A: We will evaluate the following Integral.

Q: dx T 1-x² 4

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Q: Ex: Using U= x²-1 x²+1, find: 1 x² - 1 x² +1√1+x4 dx

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Q: L{tcost + sint} 3. 2s a. (s²+1) 2s b. (s²+1)² 2s² C. (s²+1)² 2s² d. (s²+1)

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Q: - 1 dx 312x* – 2x² + 1

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Q: Find f(t). f(t) = (+2) s3 Need Help? X Read It *)u(-4

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Q: Given z₁ and 22, find the midpoint. Z₁ = −9+4i and Z₂ = 7 - 6i [?]+[] i 2 Enter

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Q: Determine the 2.x2 – 4x + 6 dx using the definition. (hint: lim Rn)

A: Given: ∫12 2x2-4x+6 dx  To find: Value of the limit.

Q: Write a in the form a = a-T + an N at t-0 for R(t) = t²i+

A: Given Rt¯=t2i+t+13t2j+t−13t2k We have to write a in the form a=aTT+aNN Since, Rt¯=t2,t+13t2,t−13t2…

Q: Evaluate: /x² 2 - 4 dx

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Q: Given z = 7t - 43 and y = 49 sin t dy (i) de to (ii) (1₂)

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Q: C. (5+ y³senx)dx + 3y²cosxdy = 0 %3D

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Q: HW/ O Find a, b to Continue The Punction at X=3:e OJっ8 flx) : ax+b x > 3 2a-b+l X = 3 bx-a+3 X < 3…

A: a = 4/5 &amp; b = 1/10  The detailed solution is as follows below:

Q: Q2: Evaluate ſGeascos² (y s) ds. COS

A: Using cos2(bs) = (1/2)*(1+cos(2bs) And integrating using by parts.

Q: d {(1+x – x²)°} da

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: Part (b) 1 What is 2ni L f(2) dz C2

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Q: Evaluate: +(1+x+x² + x³)e-4x² dx Evaluate ¹/² √cose de 0

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Q: Evaluate (2x - y) dx + (x + 7y) dy. C: x-axis from x = 0 to x = 5

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Q: Find -dx + C (To enter In(|x), you would enter In(abs(x)). Note: In abx(x) will not work )

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.