Given: x² dx Find: Formula So"du Sa"du

Q: 14. Find dr/de: r= 0 sin 0 + cos 0 а. cos @ b. 0 cos 0 0 sin 0 C. O a O b

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Q: Apply derivatives to determine the critical points of the function ?=?(x−6)².

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Q: Find dydx for y=ln2x3−x2

A: This question is based on derivative.

Q: implicit differentiation to find the equation of the tangent line to the function defined implicitly...

A: Topic = Functions

Q: 4 tanz dr 2. The value of the definite integral (b) (e) 1- (d) 0 (a) 1

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Q: Evaluate the integral tan 4x S- Vtan? 4x - 24 O 1 Arcsec sec 4x + C 5 sec 4x + C 5 O 1 Arcsec 20 1 A...

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Q: lim x→0 4-Vx+16

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Q: Evaluate the integral tan 4x dx tan? 4x - 24 nltan- O inltan 4x + Vtan? 4x – 24| + C 1 Arcsec tan 4x...

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Q: dx Given: 2x- 3xlnx Find: du dx 3 dx dx 3 dx ---

A: Explained below 

Q: dx x² Vx²-1 -2.

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Q: 4x4 + 7x + 16 Consider the rational function f(x) 6x2 – 11 a. What monomial expression best estimate...

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Q: 1 |dz 4z

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Q: 3-Vz dz 2+yz

A: Power substitution  is a  method of integration that aims to replace the nth roots in a function, wh...

Q: Given the Table of Values for the given limit, which of the following is FALSE?

A: The objective is to find the false option.

Q: A Detroit-based oil company estimates that for the next several months, oil will be pumped (in thous...

A: A(t) =integration of R(t) dt  Amount for three years put t=3

Q: What is the balance after 1 year in an account containing $1000 that earns a yearly nominal interest...

A: This question can be solved using the concept of compound interest.

Q: Evaluate the integral dx 3e2x - 2e-2x 1 VZe-2x + /2e-4x - 3+C 2/2 1 -Arcsin V2e-2x +C V3 2/3e2x - 2e...

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Q: A 12-lb weight stretches a spring 2 ft. The weight is released from a point that is 1 ft below the e...

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Q: Solve the differential equation with appropriate method. Simplify final answer free of fractions and...

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Q: Find the equation of the tangent line to the parabola at the given point. x2 = 2y,   (−7, 49/2)

A: The objective is to find the equation of the tangent line to the parabola at the given point.

Q: k! Σ 4k k=0 10

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Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, Y...

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Q: Determine the Laplace Transform of the functions shown and simplify.

A: Our Aim is to determine the Laplace Transform of the functions shown below:-14cosh (16t)+16sinh (16t...

Q: Find the equation of circle and the equation of line from the following graph (3. -4)

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Q: Use sigma notation to write the Taylor series about x = function. 1 x + 5

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Q: Consider the following image. 10 -10 -5 10

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Q: e2t+a (2 cos at – 3 cosh 2at) -

A: We have to find Laplace transformation. 

Q: The table to the right shows the electricity rates charged by Better Than Lightning Utilities in the...

A: NOTE: Refresh your page if you can't see any equations. . the base charge is $6.5 and for the first ...

Q: The volume, V, of a sphere in terms of its radius, r, is given by V (r) = Tr³. Express r as a functi...

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Q: Given: x² dx Find: Formula 1 o fe'du

A: Given problem:-

Q: Consider the following rational function: anx" + an – 1xn-1+ ... + a1x + ao f(x) bmxm + bm - 1xm-1+....

A: The rational function,      fx=anxn+an-1xn-1+....+a1x+a0bmxm+bm-1xm-1+....+b1x+b0

Q: dx Evaluate xV x2 - 4 TT 2 4 O O

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Q: Solve the differential equation with appropriate method. Finalize answer free of Logarithms and frac...

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Q: Which among the following is an improper integral? 1 A x[In?(3x) – 4] Inx x[In*x- 1] ` .0.5 1 dx -0....

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Q: Write an equation for a rational function with the given characteristics. 4, x-intercepts at (-4,0) ...

A: Explained below 

Q: The revenue function Rin terms of the number of units sold, a, is given as R= 250z – 0.32? where Ris...

A: topic - functions and application of derivatives

Q: 7. Using integration by parts evaluate the integral /(z- 2x)e-3 dz

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Q: 45-56 Find the absolute maximum and absolute minimum values of f on the given interval. 45. f(x) = 1...

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Q: To determine how fast a change in weight will occur, the most plausible assumption is that is propor...

A: Given that dwdt is proportional to the net excess C-19.25w

Q: A vertical wall makes an angle of radian measure ?r with the ground. A ladder of length 20 ft is lea...

A: Let's find. 

Q: DIFFERENTIATE THE GIVEN y = x² co sec™ 3 -1 * COS

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Q: What is the shortest distance from the point (4, 0, 5) to the sphere (x-1)2 + (y+2)2+2 = 367? %D O V...

A: topic - shortest distance between point and sphere

Q: The radius of a circular puddle is growing at a rate of 15 cm/sec. (a) How fast is its area growing ...

A: Given :-  dr/dt = 15cm/sec  a) how fast its area growing when radius is 30cm  b) how fast its area i...

Q: 4-x lim x-4 Vx-2

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Q: ces 3. Find dæ/dy (watch out!) of the relationship 3-5% + sin y = In x + Vy3

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Q: The graph of a function f is shown below. 2 -4 4 -2 -4 For the following questions, note that you ca...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: Suppose f(x) (x + 5)(x + 2)(x + 1) a. Determine the roots of the function f. Preview b. What is the ...

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Q: Evaluate the integral dx |V7 + V3x -In 3 V2 - V3VX +C 1 -In V3x + V2 V2 +C 2/2 O In(2 V x³ - 3x Vx)+...

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Q: If $1500 is invested at an interest rate of 3.5% per year, compounded continuously, find the value o...

A: topic - exponential function

Q: Evaluate 1 + x2 + y?dS, where S is the helicoid with vector equation r(u, v): 0 < u < 2, 0 < v < T

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