Let f(z) Find the values of a where f' (1) = 6. こ+7 Give exact answers (not decimal approximations). The greater solution is r = The lesser solution is 2 =

Q: Find the derivative of a function f(x)=(x^2+1)^3 (2x−1)^4 f ' (1) = ____

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Q: Find the limit , if it exists:(Do not use L'Hospital's rule) 16 lim 2→16 16 Note: Give the exact ans...

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Q: A function F is an antiderivative of the function f on an interval I ifLfor all x e 1. (A) F(x) =f (...

A: A function F is an antiderivative of the function f on an interval I if 

Q: "Jung Kook PROBLEM SOLVING" Jung Kook stayed at McDonald's and ordered a cup of hot coffee. When the...

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Q: Q4. (a) Evaluate the definite integrals: (i) ſ(2 – 5/1 – x² }tx_ (ii) [sin 2x cos 2x dx (iv) [": 'V1...

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Q: 23T Does the angle 45 have a compliment? If so, what is its compliment. If not, explain why. Show al...

A: We can find the complement as below.

Q: 22. n/2 sec (t/2) dt 24. | (tan?x + tan*x) dx

A: using the properties of integral we find the given integral 

Q: g(z) h(2) If f(z) = then f'1) -

A: Given that:f(x)=g(x)h(x)                        

Q: On the graph of f(x) = cot x and the interval 2T, 47), for what value of x does the graph cross the ...

A: Follow the procedure given below.

Q: Initially 100 milligrams of a radioactive substance was present. After 9 hours the mass had decrease...

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Q: How do you evaluate csc^-1(sec2)? It's an inverse function

A: We have to find the value

Q: Question 2 In the expression /In²sinx -dx, the integrand is tanx Insinx A tanx B -Insin'x + C In sin...

A: Given:- ∫ln2sinxtanxdx To Find:- Integrand from given expression

Q: An investment firm expects the price of the Campbell’s Soup Company stock to increase via P(t)  =  P...

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Q: Find the point on the graph of f (x) = (3x + 9)/x + 9x (x > 0) at which the tangent line is horizont...

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Q: Question Evaluate the following limit using L'Hospital's rule. 1 lim 4x cos 6x4 Provide an exact ans...

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Q: 12. The volume of a spherical cancerous tumour is given by the function V(r) = {ar³, where r is the ...

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Q: Find the Taylor polynomial T,(x) and compute the error |f(x) – T2(x)| for the given values of a and ...

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Q: cof), 5T Cos What is the exact value of 4

A: Find the exact value of cos(-5π/4)

Q: yesin 3y* dy dy 5. csc 6y

A: The question is a little incorrect. I have modified the question a bit: the denominator should be: c...

Q: Solve the triangle below. Re 6. 37 R

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Q: Evaluate the following definite integral: dx = 12

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Q: Question 9 = sin20 +C, then f (0) =-cos20. 2 A True B) False

A: topic - derivative

Q: 30. 7/3 tan'x sec'x dx

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Q: Determine whether the following is always true or not always true. Given reasons for your answers. J...

A: let Vector  u=u1,u2,u3  v=v1,v2,v3  w=w1,w2,w3 

Q: dy +Ydy=e'

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Q: 16 9. 4 in

A: As we know that; The sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫ax+bndx=ax+bn+1an+1+C ; n≠-1 An...

Q: Suppose h(1) = (f(x) + VI) · g(x), f(4) = 3, g(4) = -1, and f'(4) = gʻ(4) = 5. What is h'(4)? Expres...

A: solution:-Given:h(x)=f(x)+x·g(x)f(4)=3g(4)=-1f'(4)=g'(x)=5

Q: Length of a Curve Find the length, L, of the curve given below. 6t4 – 1 dt, 2 < a < 3 2 L

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Q: Sketch the region bounded by the graphs of the equations and find the area of the region. y = cos x,...

A: The region is bounded by y=cos x and y=2-cos x, 0≤x≤2π

Q: onsider the ellipse E in the xy-plane defined by the equation ax2 + y2 = 1 where a is positive. (1)...

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Q: Question Evaluate the following limit using L'Hospital's rule. lim (e + 2a)() 6x Provide your answer...

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Q: 4х + 3 dx x2 +1

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Q: Question Evaluate the integral below. dx

A: Given that: ∫x7e3x4dx

Q: Rewrite the statement in mathematical notation. (Let n be the number of cases of Bangkok flu and t b...

A: Given that - There are currently 200 cases of Bangkok flu, and the number is growing by 20 new cases...

Q: Find the exact length of the curve. 36y? = (x2 – 4)3, 4 0 23.335

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Q: A contour map is given for a function f. Use it to estimate f(2, 1) and f,(2, 1). Figure Description...

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Q: The average change of a function f over an interval [¤1, x2] is f(x2)-f(x1) First find the average r...

A: We can find the instantaneous rate of change as below

Q: If y=3(−7x^2+7x+1)^13, then      dy/dx=

A: Given:- y= 3(-7x2+7x+1)13 To find :- dy/dx

Q: Let f (a, y) — 5x? — 8ӕу + 2у - fy 10х - 8y 4y -8х + 4y 10х -8х + 4у

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Q: A wound is healing in such a way that t days since Monday, the area of the wound has been decreasing...

A: We have to find area on Monday.

Q: Use the Pythagoraen Identities to fill in the blanks. 1= 1= :

A: NOTE: Refresh your page if you can't see any equations. . from the right angle triangle, we can wri...

Q: Write the exponential equation in logarithmic form. For example, the logarithmic form of 2 8 is log,...

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Q: t 1. Perform the indicated function evaluations for g(t) = 2t+6' a.) g(0) b.) g(-3) c.) g(10)

A: topic - functions note : As per bartleby guidelines, we are supposed to answer only first three subp...

Q: 4 x2-4 xp

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Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = 0 for f(x) = sin(x). (Use symbolic ...

A: We will find the T2(x) and T3(x) for the given function.Below find the solution in the image.

Q: For the missing elements to satisfy the condition A-1 + 14 = E e 2 b 3 5 -2 A 4 -2 i -3 Ly a 268 14 ...

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Q: Find the derivative of f (x) = (4x + 1)(5x² + x/x ). Upload your work in the next question. The deri...

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Q: (x1+e*)dx e* -In(4) 3.

A: Given that: ∫(x-1+ex)dxex-ln1xdx

Q: 4. (3 coshm +ecoshm sinhndm

A: Given that: ∫(3ecoshm+ecoshm)2.sinhm.dm

Q: S*(1+v*) -\dv (cot-ly2) 2.

A: