Without eliminating the parameter t, find a Cartesian equation for the line tangent to the curve C, defined by the parametric equations x = 9E – 2, y = 3t2 – t3, at the point (-9, 2).

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Q: 5. (5 + j2)5+j2

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Q: 1. / 2dx 3D 0 + С %3D С 2. Sx²dx = 2x + C %3D 3. S 5x*dx = x5 1 4. Sdx = + С 2(х2-5) x2-5 5. ſ tan x…

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Q: Consider the double integral ° S sin a dy dx. What conclusion can you make about the value of this…

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Q: er each series is conditionally convergent, absolute (-1)" n n! c) E n'+1 2 '100"

A: We have to find the nature of the series according to the given information

Q: 1. Determine the smallest positive root of f(x) = Sin x + Cos ( 1 + x*) - 1.. Use 5 iterations of…

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Q: Use the mean value theorem to prove the inequality for all a and b: |sina – sinb| < |a – b|.

A: Let, f(x)=sin x then the function is continuous and differentiable for all the real numbers hence on…

Q: 4- The number of element in the sample space when you flip 3 coins together a) 2 b) 8 c) 6 d) 12

A: To find the number of elements in the sample space when 3 coins are flipped together.

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Q: Publishing The following table shows the results of a survey of 500 authors by a publishing company.…

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Q: Given: re + In(x - y) xe*? Find dy/dx. 2ry(z=y)+z* 1+(z=v}(2»² +1)e| dy dr 2r(z-y)-z1z…

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Q: d Calculate r1(t) · r2(t)] and ri(t) × r2(t)] first by differentiating d dt dt the product directly…

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Q: Directions: Solve the following using the theorems on differentiation. 1. Evaluate x5dx 2. Evaluate…

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Q: 3. Write an equation for each function graphed below (they are transformations of familiar…

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Q: d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly…

A: ddtr1(t).r2(t)=r2(t)dr1(t)dt+r1(t)dr2(t)dt ddtr1(t)×r2(t)=r1(t)×dr2(t)dt+dr1(t)dt×r2(t)

Q: a) 2 B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card…

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Q: What is the probability you draw two cards of the same color from a standard 52 card deck you are…

A: favourable conidtion is  26C1*25C1 = 26*25 total condition is 52C151 C1 = 52*51 probability =…

Q: 6. For the series E-13 * )", a. Find the first two partial sums si and s2 b. Does the series…

A: 6) ∑n=1∞314n  a.  partial sum S1=3(14)=34=0.75      partial sum S2=3(14)+3(14)2…

Q: Demand for the latest best-seller at OHaganBooks.com, A River Burns through It, is given by q = -p2…

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Q: 53-58 A particle is moving with the given data. Find the posi- tion of the particle. 53. v(t) =sin t…

A: We know that if 's' is position of a particle at a particular time 't' then velocity v (t) and…

Q: Find the derivative of the function: f(x) = [sin(4x + x)] [cos(x4 + 4)] f(x) = e3x²+*(cscx + secx)2…

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Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

A: We can answer both the question as below.

Q: 12

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Q: If the function is continious at x c, then the right limit at x= c is equal to f(c). Select one: O…

A: To verify if the given statement is true or false.

Q: Approximate the local minimum value of the function given below. Use Newton's method with the…

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Q: Determine the area of the largest rectangle that can be fitted between the x-axis and the curve…

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Q: (a) 2. A bug begins to crawl up a vertical wire at time t=0. The velocity v of the bug at time t,…

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Q: Graph the function and find its average value over the given interval. h(x) = x² – 1 on [0, V3] -

A: The given function,  h(x)=x2-1 on 0,3

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Q: Given the equation x In(y) dz = z Arctan(3y). Assuming z as a function of variables x and y, find ar

A: To partially differentiate the function z with respect to x.

Q: f(x) = √x2−2​ ; x = 2 what is its derivative?

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Q: The cost, in dollars, of producing x yards of a certain fabric is given by C(x) = 84 + 0.16x –…

A: Topic:- application of derivatives

Q: घा 13) convergant or Divergant A) Each tem is less Ehan that of a converget Bach tem is less Anon…

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Q: Find the average rate of change of the function from X1 to X2 Function x-Values f(x) = x2 - 4x + 6 X…

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Q: The triple integral SLS (x+2y – 2)dxdydz is equal to -8 -1

A: This can be solved as follows:

Q: Sketch the graph the integrands and use areas to evaluate the integrals. 1. Llx| dx

A: As per our guidelines, we can help you in solving only first problem, rest of the problems you have…

Q: An approximate

A: answer is in next step

Q: A MANUFACTURER NEEDS TO MAKE A CYLINDRICAL CAN THAT WILL HOLD 1.5LITRES OF LIQUID. Determine the…

A: Follow the procedure given below.

Q: If Lpl=)dz = 7 and p(z)dz = 9.5 what does the following integral equal? p(z)dz = Question Help: D…

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Q: 0.75 3 0.50 4 0.75 A) Rate = k[A] B) Rate = k[A]? C) Rate = k[A][B] D) Rate = k[A]?[B] E) Rate =…

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Q: Use power series to show that 1 1 1 e =- + 0! +...** 2! 3! 4! 5! 6! 117

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Q: Find y ' if xº = y* .

A: Given problem:- xy =yx  To find:- y'

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Q: Question 9 Find the volume of the shaded region when revolved about the indicated axis. 21 x = V7+ y…

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Q: 1. Identify the type of conic section whose equation is given, then find the vertices and foci.…

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Q: If 10 | f(z)dz = / f(z)dr + f(x)dzx – f(2)dz, what are the bounds of integration for the first…

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