Find the derivative of each of the following functions:-- log₂ x 2. y= X

Q: dr Given arcsin(z) = arccos(r²), solve for dz |

A: This is a problem related to derivative of the function. Based on the general formula and concept we…

Q: 17 Evaluate the integral: SERV - dx x²√x² + 25 (A) Which trig substitution is correct for this…

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: To find: Maximum profit

Q: Evaluate h(4), where h = go f. 3 f(x)=√x²9, g(x) = 6x³ +9 h(4) =

A: The given functions,fx=x2-93, g(x)=6x3+9

Q: Find the first derivative of y = (e³x)(3x² – 7)

A: This question is related to differentiation, We will solve it using given information.

Q: Solve the following integrals. 3.) S fafy dxdy y²-x²

A: On solving this we will get

Q: Q4: (A) particle moves in a straight line with an acceleration a(t) = (2t + 3)-3 m/sec² If the…

A: Let's find velocity 2 Second after the start of the movement.

Q: (-1)n+1 Given that ³²= 24 x²n. Obtain the power series representation of each of the following 9+x²…

A: Given: Now,           -39+x2' =-319+x2' =-39+x2-1' =-19+x229+x2' =-3-19+x22· 2x=6x9+x22

Q: 5. (a) Use Newton's binomial theorem to calculate √50 with 4 terms.

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Q: Your are driving away from Tampa. Your distance (in miles) away from Tampa x hours after 12:00 noon…

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Q: .2 3. If o (x) = f Ví dt, then 0 (a) 2x2 (c) O do dx (6) SA (d) 1. is

A: ϕx=∫0x2tdt

Q: Q5: (A): Finding a curve whose slope at the point (x, y)is 3x² if the curve is required to pass…

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Q: du (A) Show that if y=csc(u), then=-csc(u) cot(u) dx dx

A: Given :y=csc(u)Proved

Q: compute each of the problem completely. (Partial Derivatives) 1) Compute Əz 25 and да at for 2=x²y,…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Let f(x) = cos z. Determine the z-value(s) where the function has a maximum or minimum value on [0,…

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Q: (B) Use Tabular integration f(t³-4t² to evaluate the following: - + 5t+ 32) sin(t)dt

A: We nee to evaluate ∫t3-4t2+5t+32 sin(t) dt

Q: (2 fi = f(x²+xyz, y² +22= Prove that (y²-2x) ou 2ZX) then ne (²h-x) he 18

A: Concept: Partial derivative : The partial derivative is similar to the normal derivative except in…

Q: Let x be a continuous random variable that can take any value in the interval [0,3]. Let its…

A: Solution:

Q: Given the number or numbers where the function is discontinuous. Is the discontinuity removable?…

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Q: 2. f(-7sinx + 3cosx)dx (-7sin 3. √(3x − 2 + sin x) dx TE 4. (3 sec² x + 4 csc² x) dx

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Q: 2. If function f(x) = 3²-12 is continuous at x=2, find f(x). x-2

A: We need to find f(x).

Q: Angle ABC is: 1- Obtuse if and only if its complement is right 2- Obtuse if and only if its…

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Q: C. Find the volume of the solid generated by revolving the area bounded by the given curves about…

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Q: Refer to the graph of the function f and determine whether the statement is true or false. y 4 3 y =…

A: we have graph of f vs xAndwe need to check if limx→4- f(x)= 3

Q: Given a > 0, evaluate the following limit: k X lim x-0 a 1x

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Q: Find the root of f(x)=(x^2)-5, in interval [0,4] by using bisection method.

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Q: dy/dx=x2+3y2/2xy

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Q: Calculate the partial derivative d using implicit differentiation of x³w+w7+ wz² + 2yz = 0. дz Use…

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Q: Q3 find 1)angle between two vector. 2)projection of vector A&B. A = 2i + 2j - K B = 4i-6j + 4k

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Q: Let f(x,y) = 8x - 2y + 5. Find the following values of f(x,y) for the given coordinates. (a) f(2,…

A: Let's find value of given function.

Q: 4. A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At t = 0,…

A: Above question is solved.

Q: Find the tangent line approximation for √1 + x near x = = 5. ||

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Q: Find the tangent line approximation for √1+ x near x = 5. y = ||

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Q: B. Solve the following integrals. 1.) ²(x + 1)dydx

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Q: The director of the school play has to assign 5 lead roles. If the roles are being chosen from a…

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Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² + 5t+ 32) sin(t)dt

A: The tabular integration is a process of evaluating the integral using integration by parts. In this…

Q: 4. Letf(x)=x22/5 - 19x². Determine the largest n for which fis n-times continuously differentiable.

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Q: 2. Determine the area above f(x) = 3x² + 6x - 9 and below the x-axis.

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Q: differentiate 3thetacos(2theta)+2sin(2theta)

A: A detailed solution is given below.

Q: I. Find the general solution of the following: 2x* 1. dx 2.d = xy 3. dy = (6e³x + 1)dx

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Q: Which of the following is not an indeterminate form? * ∞-∞ O Option 1 0/0 O Option 2 1∞ 1/0

A: Topic = Limits Correct option = 4

Q: -. Find the area of the region between f(x) = 1-x² and g(x) = x + 3 on the interval [-2,2] 0 2

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Q: 2. Let f(x) = 24. Sketch the graph of f(x) on the graph below. Then use the graph to find the…

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Q: 2. f(x) = √x²-4 if x<2; √x-2 if x≥2 ; a= 2

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Q: Find the equation of the plane that passes through the points (3, -2, 2), (-9, 2, 4) and (-6, -4,…

A: We need to find equation of plane.

Q: 3e-20 + 2x 3.y" + 6y + 8y = 3e-2x

A: Here we have to solve the differential equation.

Q: 2- Are the vectores [4,2,6] and [6, 3, 9] collinear? How do you know?

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Q: 1. 2²₂(3x-4)dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the arc length of the curve x = Length = -2y³/2 from y = 0 to y = 10.

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Q: Given that f(-10) = -0.1 and f(-9.6) = 1.8, approximate f'(-10). f'(-10) ~ ≈ 94

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