Evaluate lim Vx-2 x→4 _Vx3_8

Q: Use f(x) = 3x − 5 and g(x) = 2 − x2 to evaluate the expression. (a)    (f ∘ g)(x)=   (b)    (g ∘ ...

A: Solving the problem by finding the value of composition.

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Q: singx 4. lim x-0 sinnx

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Q: 6. Suppose f(x, y) is differentiable. x(s, t) = 4s + 3t + 2st + 3 and y(s, t) = 7s + 3t2 + 2. We are...

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Q: Which of the following is logically equivalent to (uvb-vd_)A(uL b- v d) Auv b- v d) A (L vbv d)Auvbv...

A: Given logical statement is p∧q∧r ∨ p∧q∧¬r ∨ p∧¬q∧r ∨ p∧¬q∧¬r ∨ ¬p∧¬q∧r

Q: representing all ellipses having its centers at the origin and transverse axis X. z (wv" + (v)*] + u...

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Q: Find the value of c when f' (c) = 0 for f(x) = 3x² – 12x + 9, where 0 < x < 4 а. 2 b.3 с. 0 d. 1

A: Given that: f(x)=3x2-12x+9

Q: IV. SOLVE THE FOLLOWING MAXIMA/MINIMA PROBLEMS. Show the figure. 1. The strength of a rectangular be...

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Q: Which of the following uses integration by parts? (1) fxcos.x°dx (3) fxlnxdx (2) [x'e*dx - In x dx (...

A: we have to find the integration by parts from the following

Q: Use  f(x) = 4x − 5  and  g(x) = 6 − x2  to evaluate the expression. (a)    f(g(0)) =   (b)    g(f...

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Q: wn menu to indicate whether the sequence ng or strictly decreasing. one pose one -y increasing y dec...

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Q: 3.a) Eliminate the Arbitrary Constants in the equation: y = C1sin(2x + C2) y" + 4y = 0 у' — 4у%3D0 O...

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Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x2-3x)3 ; d'y/dx 1. y = 2. Y = (7x + 2)5 ;Y...

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Q: 3 dx is . Jitx The value of V1+x d. 0 b. 2 с. -1 а. 1

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Q: dy - y – 5a* – 3x? + 2x = 0 dx - 2y = 5x + 6x2 – 4x ln a + cx 5y = 2x + 4x? – 6x ln a + cæ %3D Optio...

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Q: Find the area of the region bounded by: r = 10 cos(100) 0 <0 < 2n

A: Given :r=10cos(10θ) 0≤θ≤2πTo find : The area of the region   

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Q: Activity 3: Limits of Functions A. Evaluate the following limits by completing the table of values. ...

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

Q: Determine a region whose area is equal to the given limit. Do not evaluate the limit. lim 2. 7i 1 + ...

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Q: Use the difference an+1 – an to show that the sequence {n – 11"}t n=1 is strictly increasing or stri...

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Q: 33 + 5f(x)+7²(f(x))° = 0 and f(-2) = –1, find f'(-2).

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A: To evaluate the given limit.limx→0+ ln xx    

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Q: Determine C when x=y=0 (xy+ 2)dx = (x'y +x² + y? + (z²y + z? + y} +1) dy %3D

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Q: representing all lines passing thru (-1,1) Y = -! r+1 None of the choices Option 2 f = y-1 (y – 1)dæ...

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Q: Tour approkimating onts. (Kound your tch the graph and the rectangles. y y y y 2 1. wour estimate an...

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Q: 8. Trace of (BA)²

A: Given :A=024-25-4431028336-43B=11121314125-201370214649  

Q: Use the properties of logarithms to rewrite and simplify the logarithmic expression. In(5e)

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Q: Find the area bounded by y = x2 – 2x – 3 and y = x + 1.

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Q: Let R be a region bounded by the curves y = x² and y = 4x – x². Evalua /| (a + y)dA. R

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Q: Determine C when x=y=0 (xy + x)dæ = (x²y + æ² + y³ + 1)dy

A: Given that xy+xdx=x2y2+y2+x2+1dySolution :xy+xdx=x2y2+y2+x2+1dyxy+1dx=x2y2+1+y2+1dyxy+1dx=y2+1x2+1dy...

Q: Find the dot product: (5, —3) о (2, 3) O 1 O -1

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Q: Determine whether the series converges using the Ratio test. 9k k3 k=1 The series

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Q: -х-f(x) Let g(x) = f(x) 2, find g'(1), if f(1) = 4 and f'(1) = 2 1 3 b. d.- а. с. -- 2 8

A: Differentiation in u/ V form    Here option   a  is the correct answer 

Q: ædy – ydæ = (x² – y²)dy (tan y – 2)dæ + (* sec² y + +) dy =

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Q: y = 2xy – x In(2y – 1) = –a² +C y = e**C + • Option 2 Option 3 In(2y + 1) = –x² + C Option 4 None of...

A: We need to choose correct option.