(e) S -dx, x = 3 sec t Ans. C + Vx² – 9 – 3 sec¬1 () (f) x² + 4x – 5 -dx

Q: x 0 5 10 15 20 f(x) 95.4 85.9 77.3 69.6 62.6 g(x) 44.8 40.9 36.8 32.5 28.0 h(x) 37.3 36.6 35.9 35.2 ...

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A: We have to find the derivative of given function using chain rule in differentiation.

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Q: If x is large, which function grows faster, f(x) = 2x or g(x) = x2 ?

A: Given,            fx=2x or gx=x2To find : if x is large, then which function grows faster.

Q: Evaluate the given limits below. 127 1. lim 34 x0* X 1028 2. lim 121 x→0 X 12345 3. lim 136

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Q: 64 The partial fraction decomposition of x2 can be 4 f(x) written in the form of g(x) where x – 2 x ...

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Q: 1 dx 9 - x2

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Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty o...

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Q: (® Find J (x) if fraxy = 10 Vzx-5

A: The given function is: f(x)=102x-57

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Q: 2. The voltage coming from the electricity distribution company is fluc- tuating according to the fu...

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Q: et H(x) = 3f(x) + 4g(x), where the graphs of f and g are shown in the figure to the right. Find H'(1...

A: Topic:- calculus

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Q: Symmetry 5. Look back at the graphs of the curves y = r2,x = y°,y² = x², y = ,y = VI, r2 + y? = 25 a...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

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Q: d. lim g(t), where g(t) = 1 2, t> -2 ={* rt+2,ts-2 %3D

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Q: Given f(x)=3x+8, evaluate (f(x^2))

A: f(x)=3x+8 Substitute x=x2 in f(x)

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Q: dr 1. Find if dt

A: Follow the procedure given below.

Q: Which vector below is NOT orthogonal to i = -2î – 8ŷ + 7k ? -- 1 2 8. O 0 î + 0ĵ + 0k 3. 1 O 4 î - )...

A: Given problem:-

Q: Q2\3-Functions f and g are defined by f(x) = 1/x + 3x and %3D .g(x) = -1/x + 6x - 4 find (f + g)(x) ...

A: (2\3). The given function is: f(x)=1x+3x             and           g(x)=-1x+6x-4

Q: (a) Estimate fw (20, 30) and give a practical interpretation. fy (20, 30) × If the wind is blowing 2...

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Q: 2t – 2 t2- 1, Let r(t) = - î - tan (t) ĵ+ In(2t) k. %3D (a) Determine the domain of r. (b) Compute l...

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Q: Is the line x = 6- 3t, y = 8 + 8t, z= -t parallel to the plane 3x + y -z=2? Give reasons for your an...

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Q: The line of intersection of II : 4x – 3y + z – 2 = 0 and - Пу : 2а + 5у — 32 + 4 — 0 is z – 2 %3D -1...

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Q: Test whether the equations generated by scalar multiplication are equivalent to the original equatio...

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Q: What is the area bounded by the curve z = tany and the y-axis from y = to y =}? 18 (P+0)(--+36) O n3

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Q: 2+cost Use IVT to show that g(t) = [0.7]. takes on the value 2.5 in the interval 1+ sin t

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Q: Find an equation to the tangent line to the graph of ?(?) = tan7(?) when ? =4?/5. Round coefficients...

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Q: True or False? The product of two imaginary numbers is always an imaginary number.

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Q: 4. Use the given information to sketch the graph of the function f. (-2,1)u(1,x) all real except X -...

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Q: Evaluate: J-1)–1) dy 0-my-1-등u-1)" + 즐피 ++ 11-arctan(Y )+c arctan () +c V3(2y+1) O-m-- 1³ + }n² + y+...

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Q: Determine the behavior of the functions defined below. If a limit does not exist or the function is ...

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Q: Find the area of triangle ABC, where A (1, 3, -2), B (5, 3, 1), and C (8,-2, -3). |

A: Here we have to find the area of the triangle ABC having vertex A(1,3,-2), B(5,3,1) and C(8,-2,-3)

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A: Given: To find the all the unit vectors making angle π3 with +ve x-axis. Key points: Given vector is...

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A: The given curve y=2xx+12, at the point 0,0

Q: Last

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Q: ) oe.no dy en x = 0-1 of the IVP = x² +y, y(0) = 1 %3D %3D dx s method. Iving the

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Q: Show that the function f(x) = |x – 3| is not differentiable at 3. We have if x 2 3 (x) = |x - 31 = i...

A: Now, lim x→ 3+fx-f3x-3=limx→3+x-3-0x-3=1lim x→ 3-fx-f3x-3=limx→3--x-3-0x-3=-1

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Q: (-9 9-10i) (2-7i)

A: Simplification

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Q: Use the Intermediate Value Theorem in the following exercise: Find an interval of the length 0.01 t...

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