C. ta the sum or the values of a and h such that f(x) - 2ax2 1 hr + 3 has a relative extremum at the point (-1,2). А. 1 В. -1 С. 2 3 D. 2

Q: У(2 — 2х)100 — у — хz; ху and yz.

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Q: YA Y= 5X-x² 2. (4,4) Y= x Find the Alea Of the shaded hegion

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Q: S tan³ x sec x dx sec3 x - sec x + С none of the choices sec³ x + sec x +C 1 sec3 x + sec x +с В

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Q: If R is the region enclosed by 36 – 4x? - 4y² = 0 and 2x + 2y?- following sets gives R in the polar…

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Q: dr Evaluate: EV9 + 4 A f (x) = = - 9r² + 4+2 +C 3x B f (x) = -4 ln 9x² + 4+ 2 +C 3x ©f(r) = -2 In…

A: A detailed solution is given below

Q: So

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Q: Find the indefinite integral. (Use C for the constant of integration.) sinh(5 – 2x) dx

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Q: Evaluate Sum 80

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Q: T = i+ R+1 +1 1 N = i+

A: answer is in next step

Q: S sin®xdx

A: ∫sin6x dx       We have sin2 x=1-cos2x2 Then ∫sin6x dx=∫sin2 x3dx                  =∫1-cos 2x23dx…

Q: Let v = (-2, 3, 4) Calculate: v xi= ( || v xj= ( v x k = (

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Q: dæ Evaluate: 9x² + 4 A None of the given choices B f (x) = -4 ln 9x² + 4 + 2 + C f (x) = -2 ln 9x2 +…

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Q: 1 * cot³. CSC2 x3 x2

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Q: If ở x w = i- j+ k, and v · w = 4, and 0 is the angle between v and w, then (a) tan 0 (b) ө

A: (a)v×w =i-j+k|v×w| =12+(-1)2+12=3|v×w| =3|v×w| =|v| |w| sinθ →(1)now,v.w =|v| |w| cosθ →(2)(1)(2)⇒…

Q: Determine whether the Mean Value Theorem can be applied to f on the dosed interval [a, b). (Select…

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Q: S sin?x cos³x dx i sin*x -sin*x + c i sin*x +sin°x + C O A B -sin'x -sin'x + d

A: The given integral is ∫sin3xcos3x dx We evaluate the integral using proper substitution. At first we…

Q: (1) 8 6 2 "2 -2 -4 Increasing: Decreasing: Constant: 4.

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Q: S sec?x csc²xdx O None of the choices tanx + cotx + C O - tanx + cotx + C O - tanx - cotx + C O O

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Q: Consider / sin'x cos²x dx. jf we let " =cos x , the integrand can be transformed to , O J(- 2u?- u*…

A: The given integral,    ∫sin5x cos2x dx

Q: x² + 64 Using trigonometric substitution, given dx, the simplified form of the integral is: […

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Q: Eind the volume of the solid genrated By hevolziay the region bounded by the curve the. line y-2at…

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Q: evaluate intel9a) Evaluate intelga

A: Use property of integral.

Q: Evaluate the following limit using Taylor series. lim 2x X00 ... Rewrite the given limit using a…

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Q: Consider the function on the interval (0, 27). f(x) = sin(x) cos(x) + 8 (a) Find the open…

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Q: A survey shows that a candidate is gaining votes at a rate of 2000t + 1000 votes per day, where t is…

A: Given problem:- A survey shows that a candidate is gaining votes at a rate of 2000t + 1000 votes per…

Q: In each of the problems, solve the given differential equation. 3. xy` = (1 - y2)1/2

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Q: Find the values of a and b for the curve x'y+ay =b if the point (1,1) is on its graph and the…

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Q: Using the rule of 72, how long does it take for country X's production to double? 19 years Using the…

A: answer is in next step

Q: solution

A: We have to choose the correct option from the given options according to the given information

Q: Differentiate the function:  k(x) = 4 ln (x) + 2 cos x + x^2 k'(x) =

A: k(x)=4ln(x)+2cosx+x2Differentiate with respect to xk'(x)=(4×1x)+2-sinx+2xk'(x)=4x-2sinx+2x

Q: 9- 4x2 Evaluate: xp-

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Q: 15

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Q: Find dy/dx by implicit differentiation and evaluate the derivative at the given point. x + y 12xy -…

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Q: Question 7 dy = 2/y- 5In|Vy+ 5| + C Vy+5 T True F False

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Q: Find the inte gral. Box Final Answer. For the definite integral, give the excact answer only dx

A: Answer is in below steps.

Q: u+ 2v = 1+ vw; wy, and vw.

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Q: Question 6 xdx can be solved by either algebraic subsitution or integrataion by parts. х - 1 T True…

A: We solve it by integration by parts.

Q: S sin³x vcos x dx 2 Vcos7x + Vcos³x + C |cos³x 2 Vcos³x + C B 2 Vcos"x -Vcos?x + C Vcos³x + C none…

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Q: Finding a Derivative In Exercises 31-44, find the derivative of the function. sin x 36. у %3D

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Q: Find the inte gral. Box Final Answec For the definite integral, give the exact answer only r se?- gE…

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Q: Consider the function f(æ) = 10,/T + 7 on the interval [2, 10]. Find the average or mean slope of…

A: This question can be solved using the concept of mean value theorem.

Q: Find the volume of the solid obtained by rotating the region underneath the graph of the function…

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Q: 2 2 y 6 L72 L48 yzdxdzdy =

A: Topic = Integration

Q: A rectangular garden is to be constructed using a rock wall as one side of the g and wire fencing…

A: We are asked to find dimensions of the rectangle.

Q: dy = 2/y- 5In|Vy+5| + C Vy+5 (A) True B) False

A: we will use basic integral rules and the method of integration by substitution.

Q: In solving the antiderivative of f(x) = sin(x) + 3cos(x) + 3 by miscellaneous substitution, the…

A: Given the function,        fx=1sinx+3cosx+3

Q: Evaluate S. F dr where F(x, y, z) = e'i+ (xe + e²) j+ye²k and C is the line segment from (0, 2, 0)…

A: answer is in next step

Q: Consider the region bounded by F(x)=10x3 +7x2 -7x +6 and g(x)= 9x3 +8x2 - x +6. Find the area, in…

A: Given query is to find the area bounded by the curves for the given intererval.

Q: 2x + 1 -d.x J (3x – 1) (x² + 2.x + 2)' Evaluate:

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Q: sin dx. Use trigonometric groups- 4. cos

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