Find the derivate of the functions a) F(x) = (7x²-9) (2x + 7) f'(x) = b) f(x) = 8x² - 2 8x +3 f'(x) = 1) F(x) = f F(x) = -7x²³-6 6x²+7 F'(x) = 2 d) f(x) = 6x² ex+ F'(x) = +7/

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A: pq=16  and p=2demand=pq×dqdp

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A: Given :y=2322x-132

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A: We need to choose correct option.

Q: mine the average rate of change of f(x) = x³. - x over the interval 1 ≤x≤ 3.

A: We will find the required.

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A: Here is the solution:

Q: lim x 8个 xxx 782_11x+67 cx87-67 lim ax87-11x+67 Cz87-67 lim x →∞ ar ax87-11x+67 cx82-67 =C =C =C

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Q: Solve the equation for the indicated variable. (Enter your answers as a comma-separated list a² + b²…

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Q: A function y = g(x) has a derivative shown below for -3 ≤ x ≤ 3. Three -3 O Four 312 3 (b) Where is…

A: Answer: The solution is given below:

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Q: Find all the complex roots. Write the answer in exponential form. The complex cube roots of 16+16i

A: Given:  z = 16 + 16i

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Q: ts) Let f(x) = 1. f'(x)= 2. f'(4)= 5x² tan(r) sec(x) Find the following:

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Q: -4 +00 24 y 2 -20 -2 4 2 4 ४ c. 1

A: we will find the required.

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Q: For the following exercises, the vectors u and v are given. a. Find the vector projection w= proju v…

A: Given: u=5i+2jv=2i+3j

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Q: Let f(x) = 7x sin(x) cos(x). Evaluate 3TT f'(x) at x = 3³77₁ ƒ' (³)

A: f(x)=7xsinxcosxd dx(sinx)=cosxd dx(cosx)=-sinxd dx(a.b)=adbdx+bdadx

Q: Question 2 Find all critical numbers of the function f(x) = sin²6x + cos 6x, 0<x<3. O T N 2x 36 0 9…

A: We have to slove above question Find the critical number of function

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Q: Evaluate the iterated integral **²y³ dady.

A: K=∫04∫016x2y3dxdywe know ∫xndx=xn+1n+1+c

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A: f(x)=x2m=f'(x)d dx(xn)=nxn-1

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A: When a particle is located at distance x meter from the origin, a force of  fx=3x2+4x newtons acts…

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Q: What is the x-value and y-value of the point of intersection of y=-3x+10 and y=2x-5?

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Q: Consider the function f(0) = 4cos2²0 + 4sine. (a) Find f'(0) = (b) Determine the critical points of…

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Q: 15

A: Given: The instantaneous rate of change is determined by finding the difference quotient over a very…

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A: We can solve the given problem by using the second derivative test.

Q: Find the limit. sin(8) lim 0 0 90 + tan(0)

A: It's in a 0/0 form, so we can apply L'hopital rule.

Q: "This passcode consists of the two below limits which include an Remember to type "infinity" for 0,…

A: For x approaching c from the left, x&lt;c  ⇒  x-c5&lt;0The denominator is a negative  approaching…

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Q: X -4 -2 0 2 4 36 6 10 0 -10 -6 ind h(f(g(0))) X ind k(3) if k(x) = . -3 -1 0 1 3 x²g(x). g(x) -7 -5…

A: f(-4)=6 f(-(-4))=f(4)=-6=-f(-4) same for other values of f(x) hence f(x) is odd function    g(x) is…

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A: Given: g(x) = x+3x2-9 The function does not exist when their denominator is zero. That is,…

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A: Consider the provided question, We need to evaluate the integral  ∬De-x2-y2dA by changing to polar…

Q: Find an equation for the graph sketched below: -5-4-3-2 ME 6 S -2 -3 -4. 5 -6 -7 -8+ N a

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Q: 12. The average rate of change of f(x) = (x-a)² over the interval a ≤ x ≤a + 1 is

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Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: The concentration of the antibiotic in the bloodstream is modeled by the function C(t) = 6(e−0.4t −…

Q: Solve using the elimination method. 0.2x 0.5y = 1.1 0.5x 0.2y = 1.7 (Hint: Since each coefficient…

A: 0.2x-0.5y=-1.1.....(1)0.5x-0.2y=-1.7..........(2)

Q: A region R is shown. Decide whether to use polar coordinates or rectangular coordinates and write…

A: given shaded region is between concentric circles with radius r=8 and r=10. So, it is better to use…

Q: 4. Find the exact arc length of the curve over the stated interval: x=3t², y=t³,0 ≤t≤2

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Q: Let P(x) = F(x)G(x) and Q(x) 7 (a) Find P'(2). (b) Find Q'(7). y 15 + 3 2 1 - = N F(x) G(x) 3 where…

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Q: Consider the ellipse 25x² + 64y² = 1600. Consider the point P(16,5). Find an equation for both lines…

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