Matching functions and derivatives Match the functions a-d with the derivatives A-D. yA Functions a-d yA 4 3+ 3 2+ 1+ 1+ 1 3 4 1 3 4 (a) (b) YA YA 4+ 3+ 3+ 2+ 2+ 1+ 1+ + 3 4 x + + 3 2 4 (c) (d) 2. 1 2. 2. 2. 1, Derivatives A-D 2 1 2 3 (A) (B) y y 3 4 1 3 4 (C) (D) 4. 1. +1

Q: Evaluate Sc 24-223 z+1 dz, C:|z1|1= 2

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Q: (3x"-1)(3) %3D 3 Y +1 e 3x"-1 s 3x"+xY =4 %3D -) m =4 30 that 3x +1 %3D 3x4+1

A: See the attachment

Q: Please (re)solve the questions below in some detail

A: Step 1: explanation for question Step 2: required formula

Q: omplete the table. y = f(g(x)) y = (2x - 8)² U= u = g(x) y = f(u) y = 4²

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Q: Find the values of the function. g(x, y) = x2e2y (a)    g(−2, 0)       (b)    g  2,  1 2…

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Q: ax? +b given f (x) and f' (0) = -4, what is the value of " bx+a

A: first we find f'(x) . see 2nd step.

Q: -1 df Find for f(x) = x+3 dx 2x+5 at X= 3 . 1 A 25 (в -25 1 81 81

A: topic - derivative of a Inverse function

Q: Based on the graph of the function y = (2,4) -2 (A) f f (x) dx = (B) f f(x) dx = (C) f₁ f (x) dx 3…

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Q: 2x + 3 The equation of the line tangent to f(x) = at x = – 2 is x + 3 y = 3x +

A: Given that function fx=2x+3x+3  To find equation of line of tangent at x=-2solutiony=fxfx=2x+3x+3at…

Q: (6) If w = f(u, v), where u = x + y and v = x – y, show that = 2 ди

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Q: The velocity, in feet per second, of a rocket t sec into vertical flight is given by v(t) = –3t² +…

A: To find an expression h(t) that gives the rockets altitude in feet,t seconds after liftoff.

Q: 4. Find the perimeter of a rectangle whose area is 84 m². The length is 5 m more than its width.

A: Let the length is L and width is b. Given: L=b+5 Area of a rectangle=84m2 As we know that the area…

Q: x= y2-5 x-intercept     (x, y) = y-intercept (x,y)=          (smaller y-value) y-intercept (x,y)=…

A: