21. If g(x) = A. =/20 C. 2 {22² (x² + 2, x ≤ 1. (2x + 1, x > 1' then g'(1) is B. 1 D. 3

Q: 7. For g(x)=(x² + 7x− 1)*, determine 8 (0). Show your work. C. 0 d. 7 a. -28 b. -4

A: this is question of calculus we have to find the derivative of function further calculation is…

Q: = E R is ² +1' 38. The range of the function y A. -Sus} B. -}

A:

Q: -3z + 4, a < -2 22 - 2, 2-2 18. If f(x) = find f (-2). || A. 10 В. 2 C. -2 D. -6

A: Given function is fx=-3x+4, x&lt;-2x2-2    ,x≥-2.

Q: 4. Let f(x)=1+x³-x. Find an x-value that makes f(x) 0.

A:

Q: 8. Find f-1 (x) for f (x) = 2-4

A:

Q: 6. Let y = f(x) be a function that is differentiable at all real numbers. Suppose f has the form:…

A: given  f(x)=cx2-b  if x≤4-2x+c  if x&gt;4given  f(x) is differentiable at all point

Q: √ (9+x²) ²0 dx is equal to 3x a. + Arctan) + C 3x b. (+ Arctan) + C - 54 c. + Arctan) + C 27 d. - (+…

A:

Q: Find the point on y = 4+ x² that is closest to (1, 1). 0 (0,4) O (0.142, 4.020) O (0.545, 4.194) O…

A:

Q: Suppose that 2x² - y² = t² and x = t cos 0. Find (a). ¹(2), X and 0

A: answer is in next step

Q: Ex:- f: [2₂2] →IR xzo f(x) = { } 2 Show that fERE 2, 2] and find S²fdx

A:

Q: 6. If f(x)= V3x + 4 , find (7).

A: Given function is To find inverse function of f , we set y=f(x) and solve for x Therefore,

Q: 6) Find R100 for y = x³ on the interval [0,2]. Use four decimals.

A:

Q: 3. 5. 17. (f+g) (x) (f-g) (x) (fg) (x) If f(x) = 4x² + 3x -1 and g(x) = -8x + 5, find: (f+g) (-1)…

A: Since you have posted question with multiple parts. As per guidelines, we are supposed to answer…

Q: c. x = t3 and y = 2t2 /2, 0<ts v3 3 d. x = t2/2 and y = (2t + 1)7/3, 0<t< 4 %3D

A: 1)x = t3  &amp; y = 2t22,  0≤t ≤ 32)x = t22  &amp; y = (2t + 1)323,  0≤t ≤ 4

Q: Determine the length of x = ¹³ (y − 1)³/² between 1 ≤ y ≤ 4.

A: Thank you 😊

Q: Differentiate. 4) f(x) = e2x

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: D. 1

A: Given that : The function is f (x) = - x - 3     ; x &gt; 10x - 2         ; x &lt; 10 .

Q: q.1.x, q.x² q.1.X + d²w_S.w dx2 D 2. D 2. D Solve the ODE ( S>0, D>0, q > 0, 1> 0)

A:

Q: 4. Let f-(x) = g(x) = x-5, k-1(10) + 7 = 10 and h(x) = then find: b. Domain of h(x). c. (hof)(2). (Z…

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Q: Which graph corresponds to the function given? h(x) = {x², x 1

A: Here we have to draw the graph of the function.

Q: 2. If f(x) = 1+ x2, find fof. * %3D A. 1+ x2 + x4 B. 2 + 2x2 + x4 C. 2 + x2 D. 1 + x4

A:

Q: 21. What is the domain and range of f(x) = V– In x ?

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: nd frr for the function z = x ° - 6xy+ 4y .2 30x 2- 42x 6x- 6y

A:

Q: Q/ Let x~P(m) and let y = 5x , find the p.d.f of y

A:

Q: 5. Determine f,(x); f(x) = x*², x > 0

A: We need to find out first partial derivative

Q: 32. For the function f(x) = 3X *5 Find: f (0) f(-2) f (3)

A:

Q: Find y’'. 9. if y = (x² + x + 1)²

A: As per guidelines we have to solve the 1st one. Again upload for another solution

Q: 8. Simplify f(x + h) - f(x), where: a) f(x) = 2x + 3 b) f(x) = 1 c) f(x) = x² %3D 1 2.

A: a) f(x)=2x+3b) f(x)=x2c) f(x)=11