Q1:- Prove that r(²-x) (² + x) - (1-x²) x. secxx 4 Hint Inf(1-n) = = sin (1/2 + x) ₁ TU sin næ π = COS TTX = 0

Q: 4. Find two possible non-linear functions & and such that goh= √sinx-x²

A: To find the non linear function by the given composition.

Q: L: R³ → R² be defined by L(x) = |21 + 22, 02 - - 13¹. that I is a linear transformation.

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Q: Evaluate f{ [sec (x) + csc (x)] + sin ()} dx : (2)]? + sin (팔프)}dz O a. tan (x) In |csc (2æ) + cot…

A: To solve the following integral

Q: Q2. Prove that sec2(tan-x) = 1+ x?

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Q: 6. Prove the following sin (x + n) = -sin x cos x+ 2 - sin x

A: Part a,Given,           sinx+π=-sinx

Q: Show that the extreme values of f(x) = a sin x + bcos x tVa2 + b2. are

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Q: リ=!-Cos2x 1+(os 2x prove y = 2 tanx .secx

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Q: To show that rπ/2 sin" x cos" x dx: (m - 1) (m- 3) ... × (n – 1) (n - 3)... (m + n) (m + n - 2) (m +…

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Q: Calculate using Fixed-Point Iteration and Newton-Raphson Methods to determine the root of the…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 16. Evaluate ft tan5 x sec¹ xdx.

A: We know that Sec²x = 1+ tan²x ∫ xn dx=( xn+1)/(n+1)

Q: (10,00 Puanlar) Let f(x) = sin 2x. Then find f (999) (x). a) 2099 cos 2x b) – 2099 sin 2x - c) –…

A: Given: f(x) = sin(2x) To find: f999(x)

Q: Previous Problem Problem List Next Problem Solutions to linear differential equations can be written…

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Q: 5. [10] Use DeMoivre's Theorem to expand [4(cos 60° +i sin 60°)]". Write your answer in a + bi form.…

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Q: s2 L-1 (s² + a²)² 1 [sin at + at cos at] 2a

A: If the Laplace transform of a function f(t) be F(s), I, e L{f(t) }=F(s) then f(t) is called an…

Q: a) _*? (1-x²)Z x+3 b) S- x2+2x+5 c) Find the value of sin(tan-1- sec-d) dx d) S x² Vx2+1 e) S Vx2+2x…

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Q: 0 Prove for every x in the interval (0,1) the following inequality holds x² + sin² (ro) √T 1 + cos²…

A: We will use the basic knowledge of numerical analysis and applications of differential calculus to…

Q: Q Prove the following identities 1-sin (1) sec-tan ) 1 sin

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Q: . Let z = 1+ cos 0 + i sin 0, where - < 0 <0. (a) Show that |z| = 2 cos -1 and arg z = (b) Hence…

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Q: Show that sin(x)  can be approximated by x-x3/6  within 0.01 on the interval [-1,1].

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Q: 77. Find - Ans. (sin t – cos t + e-t) (8+ 1)(82 + 1) |

A: Topic:- inverse Laplace transform

Q: Solve the following equations for the interval (0,2m): a. sinx= b. 2 cos 2x-V3 = 0 C. sin(2x sin(2x…

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Q: 10. Show that there is a root of cos(x): = in the interval (0,7). TT Do NOT find the root. Explain…

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Q: 9. The value of f 1-x 1+x A. sin ¹¹x + √1 + B. sin¹x - √1 + dx x² + C x² + C C. sin ¹¹x + √1- x² + C…

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Q: 2x 2)/3x* 2) [3x* - 9x² +1 V9-x² dx .2 3) [ sin xcosx dx x cos.x 4) S sin² xcos 4) sin x cos x dx

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Q: 2. Prove the following identities. = tan (x+2) 1tanr 1-tanx b) sin(π-x) - tan(-x) = sin2x c) secx =…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Q) prove that (1) -2P xSinx 2.

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: QI: Choose the correct answer 1) f(3e*r - 6 sin(3x) + 10cse (2x)) dx = A)e - 2 cos(3x) + 5tan(2r) +C…

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Q: Prove that there is a real number r so that sin(r) = x – 1.

A: We have, sinx=x-1 Let us consider a function fx such that, fx=x-1-sinx

Q: Use Simpsons 1/3 rule to find sinx

A: Please refer to the image below

Q: 9.[4 pts] Suppose that - 1<x< 1. Circle all the correct statements: sin-¹ x must be positive cos¹ x…

A: Solution- if value of X lies between -1 to +1   let X =12⇒0.5,X=0.80    We will check the given…