Evaluat the integral:- 푼 is S. sec (cosx) dx dy D Sin y

Q: Problem 4 For x,y,z E R 5x +y Given: 2x - 2y 3x +3y and xyz = -48. Find: S = x+y+z +z = 0 +2z = 0…

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Q: Solve the given initial value problem and determine at least approximately where the solution is…

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Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allow 1+ 3/ 1. lim. 1 2x²+x-1

A: Given: limx→ -11+1x32x2+x-1

Q: Consider the function f with the following properties: f is continuous everywhere except at x = 2…

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Q: Locate the absolute extrema of the function on the closed interval. f(t) = ₂, [3,5]

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Q: Find T(t) and N(t) at the given point. T(17) N() = ㅠ r(t) = 4 cos(t)i + 4 sin(t)j + tk; t = 2 =

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Q: Find the volume generated by revolving the given bounded plane area about the line. Use shell…

A: Volume

Q: π/4 x³ dx (x²+4)5/2 ST/4 (Use trigonometric substitution)

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Q: d an equation of the plane with the given characteristics. The plane passes through (0, 0, 0), (4,…

A: Given; Points- (0,0,0),(4,0,6),(-4,-1,8)

Q: For each of the following integrations, choose the method that can be used to find its solution.…

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

Q: 2- Determine lim[ v( x-1000)+10]/x x-0

A: Given problem:-

Q: Find the solution of the given initial value problem in explicit form. Determine the interval in…

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Q: VI. Write TRUE if the statement is correct, otherwise write FALSE. There is no need to justify your…

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Q: Question 10 The polynomial of degree 4, P(x), has a root of multiplicity 2 at x = 4 and roots of…

A: Solving the problem by finding the value of P(x)

Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 1+ 3 1. lim x12x² + x1

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Q: A continuous F(x1= 글X K value V-V- 15 X x has CDF 16 X Co OBX C1 15X k of 17 18 19 20 21 An

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Q: SKETCHPAD Write the formula to represent the nth term of the following sequence. 6, 17, 34, 57, 86,…

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Q: • 1/2 dx x2 15. 16. dx [²2/ x6

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Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 3. lim (x-3) tan(9-x²)…

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Q: f/² () sin cos (sin (²) dx (Consider initially the first 2 terms)

A: To evaluate: ∫0π2sinx3cos4x3sin2x3dx Let I = ∫0π2sinx3cos4x3sin2x3dx We know that  sinxcosy =…

Q: Let a = ci + j and b = 6i + 36j. Find c so that a and b are orthogonal. C = i

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Q: 1+/ lim x-1 2x² + x1

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Q: Evaluate the integral √(4 by making the appropriate substitution: u √ (432² dx [ X (4x² + 11) 7 = X…

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Q: Evaluate the double integral ₁+² (y + 2x) dy dx p1+z² -1/2 O 0.0892 0.0888 O 0.0982 0.0999 0.0882

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Q: Y sinh(1) (use logarithmic differentiation) 3 (sec x)²/2[/cot-¹x]

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Q: V. Given: -2, if x ≤2 f(x)-[2x-5]. if 2 3 1. Determine if f is continuous or discontinuous at z=2…

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Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t). r(t) = 3t³i + 6tj - t²k (a) r(t) (b) r"(t) (c)…

A: Given data÷

Q: Question 7 Given : A B E 0 2π 3 F|+ π 4 (U) =|m x³sin(2x) dx = 3 5π 6 3πt 4 277²-24 64 Find bif sbst

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Q: Find the volume of the solid bounded above by f(x,y) = 8x², below by the xy-plane and the sides by y…

A: Volume

Q: [₁x³√x² + 3dx x-3 2

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Q: Describe the end behavior (long run behavior) of f(x) = 28 As → →→ ∞, f(x)→ ? As I→ ∞, f(x) → ? v

A: This question can be solved using the concept of limits.

Q: -2 + อน Ore 0

A: Suppose uxy=0 , denotes u = uy implies uy = 0 uxy = F(x) + G(y)  ,satisfies uxy = 0 a) y du/dxdy +…

Q: if f(X)= SINX+2X+1 and g is the inverse function of f, what is the value of g'(1) ?

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Q: 5. (a) Find the exact value of sin (20) given that sin (0) = 3/5 and 0 is in quadrant II. (b) If cos…

A: Given problems:- 5. (a) Find the exact value of sin (2θ) given that sin (θ) = 3/5 and θ is in…

Q: Describe the long run behavior of f(t) = As too, f(t) → ? v As t→→∞o, f(t)→→ ? - 4tº + 2t6-3t5+1

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Q: x+1 1-x In [cosh (x+1) + sinh (x+1) lim 2tanh x=1- lim_ In x=1+ l

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Q: 2. Use Squeeze Theorem to evaluate lim sin(sinh x) csch z. 8118

A: Given problem :- use squeeze  theorem evalute limx→-∞sin(sin(hx))csc(hx)

Q: The IBP formula fudv-uv-fvdu can also be written as fudv + [vdu = uv Which of the following…

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Q: a =(−1)²¹ (n − 10)₂ - What is the 9th term of the sequence n

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Q: 60. (a) dx SI dt 1 + √t (b) de fint di dt

A: We can solve this as follows:

Q: 15 Give the properties for the equation 3y 2 - 2y + x + 1 = 0. Center (-1, 1/3) (-2/3, 1/3)…

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Q: 3. Suppose that the revenue in selling a tables is equal to 200x -0.25x² dollars, and producing a…

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Q: 11. ydx + x(x²y = 1)dy = 0 -

A: y dx+x3 y dy- x dy=0(y dx -x dy) +x3y dy =0(x dy-y dx)-x3y dy=0dividing by x2;(x dy-y dx)x2=xy dy…

Q: Find the derivatives of the function xy² x-y x + y

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Q: 7T 2 Find 35 cos(7x) dx 5π 2 7T 2 35 35 cos(7x) dx = -5π လ

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Q: mposition =

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Q: 62. du * |x|dx

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Q: Find the laplace transform of f(t)= t²e³t sin 4t OF (s) OF (s) = OF (s) = OF (s) = OF (s): - OF (s)…

A: This question is related to Laplace transform, we will solve it using given information.

Q: 31. (a) 32. (a) 33. (a) 34. (a) ₁12x-11dx • S²₁₂ √2+ |x|dx 2+ |x| L₁ let |e* - 1|dx *) ₁²³-1-15|dx +…

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Q: Find the directional derivative of f(x, y) = direction of Q(2, —2). NOTE: Enter the exact answer.…

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