Express the given quantity in the form a + ib. sinh 8 + )

Q: Consider the position function below. r(t) = (1-16,5-4t²) for t≥ 0 a. Find the velocity and the…

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Q: (3) Let A be commutative ring with identity, then A has just trivial ideals iff A is ....... O…

A: Here you have posted multiple question, So as per the policy I can answer only first question for…

Q: : (A) By using the definition of derivative, prove that (answer only one): d d (secx) = = secx tanx…

A: As in question asked to answer only one therefore I am answering only first question.

Q: 1. Evaluate the improper integral 150 xe dx or state that it diverges.

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Q: WA #

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Q: a) Find the simplified form of the difference quotient for the function f(x) = 2x² - 4x + 5. b)…

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Q: дz (B)If Z = f(x,y) , x = s² - t² , y = 2st . Prove that s дл 2 (s² + t²) of дх дz ||

A: Use total derivative and chain rule

Q: For the following set of planes, determine which pairs of planes in the set are parallel,…

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Q: Q6/(A)Evalute √2² £2ª ex² dxdy.

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: * Find dy/dx for the function_y=2 sin(3x) cos2x 4 sin (3x) sin (2x) - 3 cos (2x) sin (2x) O 6 cos…

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Q: A particle start from the point (4,4) and it's coordinates change by the increment AY=5 and AX= -8…

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Q: TT 4 f*cot³ z dz

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Q: The circle x² + y² - 18x + 8y +48=0 is translated one unit right and two units down. Which is the…

A: We know that general form of a circle equation is -  (x - h)2 + ( y -k)2  = r2. Here (h,k) is center…

Q: Find the general solution for the following second order D.Es? +y=sinx (Variation of Parameters…

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Q: ) Evaluate using the squeeze Theorem. lim 0² cos (-)

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Q: The signal of Micha's Wi-Fi router covers a circular area, whose border is modeled by the equation…

A: Given the signal of Micha's Wi-Fi router covers a circular area, whose border is modeled by the…

Q: 20.21. Suppose that the sequence (X) is fundamental in probability in the sense that for e positive…

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Q: Express the given quantity in the form a + ib. sin(-8i)

A: Given.

Q: Find a point on the graph of 3x y = x-4 12 where the slope of the tangent is - 23. (find x value…

A: This question can be solved using the concept of slope of tangent at a given point.

Q: Find maximum,minimum,and saddle point of the surface Z= x³-y³-12x + 3y + 12.

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Q: The line y - 42-1457 is tangent to the graph of 111 at the point y=2x²-182²-158z+1

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Q: R: y² = 4x, y = 4, y -axis

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Q: 2. A cheetah chase a deer which is 100 m ahead. The time in which the deer takes 10 leaps the…

A: We want to find number of leaps in which cheetah catch up the deer.

Q: Show that the following equation [ has a solution on (0, 2). 42-1 = πX 2 5 cos(-

A: The given equation,       4x-1=5cosπx2

Q: 2.) (cotx + tanx) ² dx

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Q: 2. Evaluate the improper integral S₂ (5. dx (5-x)4/3 or state that it diverges.

A: The given integral,      ∫28dx5-x43

Q: 2x² + 3 Find f'(x) given that f(x)= x² - 5x+2 5) Find f'(x) given that f(x) = (2x³ + 2x² − 3)(3x³ -…

A: I am attaching image so that you understand each and every step.

Q: Find the indicated derivative and simplify. [3x log x³] dx [3x log x³] = dx (Type an exact answer.)

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

Q: Let f be a function defined by: f(x) = ln(22x). In Then, f-¹(x) = e¯* + 2. ос إختر واحداً: True…

A: Topic = Functions TRUE

Q: any produel defective computers that must be rejected tends to increase as the daily output creases.…

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Q: Calculus I

A: Consider the given table :

Q: [1 if A= 2 13 23 2 1 -2 find det (A) if 3 3 -1. 6 O 38 O 16 O 18 O 48 O

A: The solution is given in the next step.

Q: 4. Find the limit of the sequence 3e" + 20n 6e +37 7} or determine that it diverges.

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Q: Use the Chain Rule to find dQ where Q=√√3x² + 3y² + 4z², x= sint, y = cost, and z= cost. dt'

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Q: 24 S2−3x√1 + y² dydx 0

A: To solve the following iterated integral.∫02∫x24-3x1+y2 dy dx

Q: Solve the given differential equation by separation of variables. dy dx x√ 1 - y² y = =

A: Solving the problem by finding the value of the problem.

Q: Q2: Find y(2) if D.E as give dy 2+3y=sin 2x, y(0) = 6 dx Given

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Q: Find y' y= y" = 3x + 4 2x-3

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

Q: INTEGRATE dx ¹.Sa 4x1 2.fdx

A: According to question,Given Integral,1. ∫dx4x-1

Q: Calculate the work (in joules) required to pump all liquid out of a full tank. Assume a = 6 m, b =…

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Q: 1 Is the function given by f(x)= 3x+2, for x ≤ 3, 4x-7, for x>3, continuous at x = 3? Why or why…

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Q: if (1+i)(x+iy) = 2+4i then 5x is : * O 15 O 10 O 5 O 3 Let z be a complex number such that |z| = 4…

A: To find the value of 5x:

Q: Jse calculus to find the open intervals on which the function f(x) = x+8√√2-x is increasing or…

A: solution given below

Q: What percentage grade should a road have if the angle of elevation of the road is 5 degrees? (The…

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Q: Question (1): Find dx² in terms of t for the following parametric equations: x = 3 + 4 cost; y = 1 -…

A: Topic = Derivative

Q: Question 8 Match equation graph with its parametric equation. Not all equations will be used. All…

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Q: Can you please write out an explination that shows steps?

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Q: y+2y+y=sin x-4e™.

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Q: Q4\ Solve by Gaussian elimination x-4y-2z = 21 2x+y+2z = 3 3x+2y-2=-2

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Q: y = (x²+4)* Use Logarithmic Differentiation to find dy dx = dy dx

A: