Without eliminating the parameter t, find a Cartesian equation for the lin curve C, defined by the parametric equations x = 9VT – 2, y = 312 – t³, at the point (-9, 2).

Q: Given that å = i+ 53 -3k and b = 3ỉ – 23 +k are vectors in 3D. Find the value of ả x b and b xả…

A: Given; a→=i→+5j→-3k→, b→=3i→-2j→+k→

Q: y² = csc*5x cot°sx aS C

A: Here, the given function is: y2=csc25x cot25x⇒y=±csc 5x cot 5x...(1)

Q: Question 2 Find the volume of the solid generated when the region enclosed by the given curves is…

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Q: Q2// Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0

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Q: determine maximum/mininum local values and its saddle points for this function  f(x,y) = 3x^4 +…

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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: Find dy/dx: solution in handwritten 1. y = , Vu du

A: Note:- Here limit of integral 0 to t4  then in your question we need to find dy/dt instead of dy/dx…

Q: 2. Find all the derivatives of f, given f(x) = x8 – 5x7 + 4x6 – nx* + 3x3 + 11.

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Q: dy Use an appropriate technique to find dx from x² + y² = (2x² + 2y² -x)*.

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Q: (a³-8) g(a) = (Va²+4)* .3.

A: The given function,     ga=a3-86a2+43

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: determine which statement is true   x + 2y^2 + 20 = 0 (A) not a function (B) function; domain: R…

A:

Q: Find the equation of the final function after all the following transformations have been made on y…

A: The below image has all the steps

Q: Use Newton's method to approximate a root of the equation z + c + 3 - 0 as follows. Let I, = -1 be…

A: Let's find.

Q: 3 (-4V3,-2V3) :44. V=

A: Vector

Q: 8. 8 If , f(x-c)dx = 5 where c is a constant, then f (x)dx= -c

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Q: a²z Determine if z = tan- + r2+02° r

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Q: Make the u-substitution 1– u? 1+ u? to convert the integrand to a rational function of u, and then…

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Q: The MAIN use of Newton's Method is to: OFind the roots/zeros of a function O Find the derivative of…

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Q: A line is parameterized by x = 5 + tand y = 6t. (a) What part of the line do we get by restricting t…

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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: d 31. Evaluate et ht dt 1 ((1+ Int) dx 1 A) x(1 + Inx) C) x+1 xe* B) 1+x D)

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Q: Postal regulations require that for a rectangular package with a square base, the perimeter of the…

A:

Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: -3 -2 -1 1 2 4 8 16 32 64

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Q: Given the three vectors å ,b and ở in 3D. The following question is t termine if operation involving…

A: We can solve this as follows:

Q: Q1// Find the Area bounded by: x = -y2 and x = y-2

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Q: 22// use the tests indicated in front of each of the series ollowing to determine if the series…

A: 1. Summation of (k+1)/(k2-1) from k=2 to infinity.  2. Summation of 1/(5k+1) from k=1 to infinity.

Q: 2 sec" x AX JS -sec? x

A:

Q: Graph the following function by using a convenient method. y = -3cos(30° - x/3)+ 7

A: This is a graph function

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = 10xe…

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Q: (x+1) dx 13 (メ-

A: We have to solve above question

Q: y csc's x cot 5x 2.

A:

Q: Derivative of f(x) and derivative of g(x) are equal. Then f(x) = g(x). %3D Select one: O True False

A: Answer is given with example.

Q: Find dy/dx: 1. у %3D Vu du

A: Given: y=∫0t4udu

Q: 3-A coin is tossed 3 times the probability that all 3 tosses are tail equal a) b); c); d) 9.

A: Our Aim is to calculate the probability of flipping a coin three times andgettiing 3 tails.

Q: Q1// Find the Area bounded by: x = -y? and x = y- 2

A:

Q: Find dy/dx: 1. y = J" cos t dt

A: Given

Q: Given yz = ln(x+ z), find dz and dz fie

A: As we know that; The Power law; ddxxn=nxn-1 The Chain rule; fgx'=f'gx·g'x And c·f'=c·f' ; where c is…

Q: What is the exact value of z? – y if (x, y) is the corresponding Cartesian coordinates of the polar…

A: Given that the polar coordinates (r, θ) = (-2, -π/3) We have to find x²-y² where (x, y) is the…

Q: f(#n) for For the function f(x) 3x +1, write Newton's formula as , 1 - F(En) f'(an). solving f(x) 0.…

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Q: A certain radioactive substance decomposes at a rate proportional to the amount present. Suppose…

A: I have appended the formula used in the solution part.

Q: Solve for n in permutation 9(n²-1Ps) + 9(7²P6) = n²+1 P7 %3D

A: Let's find.

Q: 4. If the marginal cost for a product is MC = 2x +9 and the production of 10 units results in a…

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Q: determine which statement is true (A) Not a function (B) Function; domain: R (C) Function;…

A: This is a function problem

Q: 16) Rewrite the integral 10 3(1 – z/10) 7(1 – y/3 – z/10) dx dy dz in the order dz dy dx.

A: To rewrite the integral ∫010∫031-z10∫071-y3-z10 dx dy dz in the order dz dy dx

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

A:

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: Q3.4:Choose the appropriate answer: 1-If P(A)=0.7 ,P(B)=0.2, P(AnB) = 0.5,then P(A U B) = c)2 a)0.6…

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

Q: Select the conic section represented by the equation. 13x 2 + 5y 2 - 6x + 3y - 5 = 0 circle point…

A: We can select the conic section as below.