Determine f (x) given that f'(x)= 16x-9x-x.

Q: The below curve is rotated about the y-axis. Find the area of the resulting surface. x7 y = 1s* 10, ...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: (1+cot 8) de 5. sin eJ4 - cote

A:      ∫1+cotθsin2θ4-cot2θdθLet u=cotθ.=∫ -1+u4-u2du=-∫14-u2+u4-u2du=-∫14-u2du+∫u4-u2du=-arcsin12u-4-u...

Q: Find the critical points for the function f(x, y) = 5æ² – 10zy + 6y? – 6y and classify each as a loc...

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Q: solutions. 1. S(7x³ + 4x²)dx e*dx 2. f 1+e2x 3. S(V1– cos x )dx

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Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b). (Select all tha...

A: The function is  f(x)=(x-2)(x-5)(x-7)

Q: Find the area of the surface generated by revolving the curve y = Vx + 3, 4 < y <7 around the y-axis...

A: We have to find area of the surface . Given y=x3+3                                 4≤y≤7

Q: 1 What is the expansion of f (x) = 1-r OE(-1)"x" Ο Σ 2n

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Q: le 10- 5- 0- -5- -10- .... OC. OD. 10- 10-

A: We have to choose the correct answer from the given options according to the given information and u...

Q: The total resistance R produced by three conductors with resistances R1, R2, R3 connected in a paral...

A: Here, the given equation is: 1R=1R1+1R2+1R3...(1)

Q: - 4

A:     ∫1yy8-4dyLet u=y8.=∫18uu-4du=18·∫1uu-4duLet v2=u-4. =18·∫2v2+4dv=18· 2·∫1v2+4dvLet v=2w.=18· 2·∫...

Q: The owner of the Rancho Grande has 2,972 yd of fencing with which to enclose a rectangular piece of ...

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...

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Q: Calculate the divergence of cach of the following functions (a) r²î + y²§ + 2²k. (b) yzî + xzj+ xyk....

A: As per the instruction, we will answer only the first 3 subparts. For (a), For a given vector fx, y,...

Q: Use the graph to find the following. (a) the domain of f (b) the range of f Q (c) the x-intercepts (...

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Q: Find the area of region enclosed by x = t – t, y = t – tº, 0 < t < 1 using Green's Theorem.

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Q: 12. cosx(1+ tanx)² = secx + 2sinx %3D

A: Prove : cosx ( 1 + tanx)^2 = secx + 2 sinx

Q: (e) Without finding T and N, write the acceleration of the motion F(t) = (sint – t cos t)i + (cost +...

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Q: EX:- Show that dw Vす 2. の ē" dw fcb)-VEerfa) %3D e dw ei

A: Using error function erf(f) . 

Q: Hw Fin ow and dw for the fallowing functions e 2- X+リ

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

Q: Give an equation for the cylinder passing through (0, 2, 4) with the vertical line through (1,0,0) a...

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Q: Determine the coefficient of the 6th term of the Maclaurin serie expansion of f (x) = e² 6! 6!

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Q: Use any method to determine whether the series converges or diverges. 00 Σ k3 + 512 k=1 O The series...

A: Given query is to find series converges or diverges.

Q: Write the equation of the function g(x) that is transformed from the function f(x) = |x], and whose ...

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Q: Determine whether the series converges. 1 Σ Ve k=1

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Q: Find the transition points. y = 3x6 – 27x* - (Use symbolic notation and fractions where needed. Give...

A: Given : y = 3x6 - 27x4 For critical point(s) : y'(x) = 0 Now, y'(x) = 18x5 - 108x3 Put   y'(x) = 0 1...

Q: Use the second derivative test (is possible) to find the relative extrema of f(x) = 3x^4 - 8x^3 + 6x...

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Q: tan (X) where : Let z=f(x,y) = (10 + 23x)y" where : 13 - e (t – 1) + tan'(t) , and y= (2- t) e'- 13(...

A: Here, the given functions are: z=f(x,y)=(10+23x)ytan xx=13-e2e(t-1)+tan-1(t)y=(2-t)et-13(t-1)

Q: Find the equation of the tangent line to the function f(x)=-3x^2-2x at the point where x=1. Give yo...

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Q: Jrin m In(cos m) dm

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Q: 1.Determine the convergence of the following sequences {a,} = {In (#)}

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Q: Find the exact value of sin 20, cos 20, tan 20, and the quadrant in which 20 lies. 45 0 in quadrant ...

A: Given query is to find the value of indicated trigonometric functions.

Q: End the taylor series for fcz) = centered at a= 2

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Q: Given the graph of the function on the below, what is the lim f(x)? x -2+ a. 5 O b. 1 C. 0 d. 3

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Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all tha...

A: f(x)= (x-2)(x-5)(x-7) , [2,7] 

Q: 12 २ (४) = dt | २स Prove !- \) ২-০০) = २(-०० ) 3D \

A: Given that Qx=12π∫x∞e-t22dtTo prove:1. Q-∞=12. Q-x=1-QxSolution:we know that ∫-∞∞e-x2dx=π       ... ...

Q: Plot the point: (r, theta) = (3,-139) The angle is given in degrees. Clear All Draw: Dot

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Q: P-# 150, 000, r= 490, t= 4, compounded MonthlY.

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Q: dx Maybe used: sin(x – y) : 1. JTV#² + x + 1 sin a cos y – cos a sin y

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Q: Hw Find Land dw cosh (cot( 3- 4-ws

A: We know, ddx(xn)=nxn-1, n is any real number. ddx(cosh(x))=sinh(x) ddx(cotx)=-cosec2x

Q: The following Graph shows the regions of feasible Solutions. Find the siinimure values of the Olgect...

A: Given that a graph and the graph shows the feasible solutions. We have to find the minimum values of...

Q: 7. (1+x*)dy + x(1+ 4y°)dx =0

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as...

Q: The function k(x, y) = e cos(2x) has a critical point at (0,0). What is the value of D at this criti...

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Q: Let f(x) = 2/3x3 + x2 − 12x + 17. Find the values of x for which the following are satisfied. (Enter...

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Q: cot dv 3. cot (v²+9) 1-cos² - Iem

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Q: Match the graph of the function on the right with the graph of its derivative.

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Q: cof dv 3. cot ( +9) 1-cos let u= du=

A: Given problem:-

Q: For what values of the constants A and B is the polynomial function Ax 2. 2 4 f(x, у) %3D Ах + Bxy +...

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Q: Calculate the gradient, Vƒ, for the following scalar functions (a) ƒ = xyz. (b) ƒ = x² + y² + z². (c...

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Q: Evaluate the integral

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Q: According to on of the derivative, lim (Enter the simplified form of the difference quotient) (Enter...

A: Using formula :