On Integral of Trigonometric Functions: Determine the integral of the ff. functions. 3. sec 2 (3x + 7) dx 4. S (x+2) csc 2 (x² + 4x - 11) dx 5. 12 csc (-6x) cot (-6x) dx 2x³ cot x4 dx 6. 7. x4 sec (x5 - 9) dx 8. Stan ³ x dx

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A: Find your answer below

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Q: lim 1-3 (r-3) tan(9-x²) sin²(2x - 6)

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A: we have to find limit

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Q: Select the conic section represented by the equation. 4x 2 - 25y 2 - 8x - 100y - 196 = 0. line…

A: We can answer the question as below.

Q: 4 Identify the center of the conic section whose equation is x 2 +y 2 + 6x - 4y - 12 = 0. (-6, 4)…

A: The given equation is; x2+y2+6x-4y-12=0   As we know that; The general form of equation of the…

Q: Evaluate the ff. limiti. Uning of "L'Hospital' rule is not allowed lim √1-x + 2x + 7 x>-∞ √√9x²+5 -…

A: To evaluate the following limits without using L'Hospital's rule.1 limx→-∞ 1-x+2x+79x2+5-32 limx→1…

Q: Identify the center of the conic section whose equation is 4x 2 - 25y 2 - 8x - 100y - 196 = 0. (-1,…

A: We can identify the center as below.

Q: 6. Use Green's Theorem to find the counterclockwise circulation and the outward flux for the field F…

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Q: Verify Green's Theorem by evaluating both integrals dA [_v² dx + x² dy = [] (ON-OM) A ax ay for the…

A: Let's find.

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A: Solved below

Q: II. Find Do not simplify your answers. dr 1. log,(√2x² + y) + tan(x² − z³) = sin¯¹(x² − 1) + −

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A: follow the procedure given below.

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Q: ● Let B(x) Let C(x) = = = **f(t)dt. Evaluate B(1). * f(t)dt. Evaluate C(9).

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Q: Do as indicated. 2. Use the Squeeze Theorem lim sin (sinh x)csch x. x-18 to evaluate

A: Given problem:-

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A: Here we have to find the area.

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Q: Solve the D.E ý - 25 +2y = 2 X73

A: Please read whole answer your doubt will be cleared.

Q: Find Do not simplify your answers. dy dx 1. log3(2x² + y) + tan(x - ²) = sin-¹(x² - 1) + 2

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Q: Give the properties for the equation x 2 +y 2 + 4x + 6y - 12 = 0 Center (4, 6)

A: Given equation of circle is    x 2 +y 2 + 4x + 6y - 12 = 0   Now centre of circle is given by…

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Q: 1. lim x→-1 2. lim x →-00 1+ x 2x²+x-1 :-√√x² √√x² + x x- 2 x - x

A: Given:     limx→ -11+1x32x2+x-1

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Q: Ex: Solve the DE x²y"-5xy' +9y=0

A: To find the solution of the given differential equation.

Q: our answers.

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Q: 2. Let f(x)=√(2-x)². Use the local linear approximation of f(x) at xo = 1 to estimate √0.99 (1.01)².

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Q: Question 7. A manufacturer of jet engines estimates that the rate at which maintainance costs are…

A: Since the student has posted multiple questions and does not mention any specific question, so we…