let z- 5 dy By chain Ruie

Q: -3 sec-(VI) y = 4"(log, r)sech z

A: Given y=-3sec-1x4xlog2xsechx To find dydx

Q: 4 3

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Q: 3X1+ 5X2-3Х3-9 2X1+6X2+4XЗ-14 -5X1+2X33D10

A: This question is based on solution of linear equation in three variables.

Q: If f(x) = f(t) dt +5x, and f(0) = 0, what is f(2)? Select one: a. e? - 5 O b. 5e? – 5 О с. 5е-5 O d....

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Q: If a(1) = 2, and a(k) = 5a(k-1) for all integers k >= 2, then what is the 4th term of the sequence? ...

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Q: (x+ 7)" n En=2 2" 3/ 2 1

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Q: Compute ∆y and dy for y = x^2 − 4x when changes from x = 3 to x = 3.5.

A: Topic:- application of derivatives

Q: (a) In(1– x) +xe? (b) 2х 2x 1-cos(x) (d) V1+x-1 Check and briefly explain how to avoid the loss of s...

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Q: Let f(x)= √2x^2+2x+5 f'(x)= f'(2)=

A: Given fx=x2+2x+5 To find f'(x) & f'(2):

Q: Prove using the formal definition of limit that lim c = c. xa

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Q: Let z ax y + bx'y?, with a and b constant. P is a point given by (1, 1) and it is known that az (Р) ...

A: Solution is written in below steps.

Q: Use the rules of differentiation to find the derivative of the function. y = 20

A: Derivative of a constant is zero

Q: Use sigma notation to write the sum. 5 5 5 4 + 1 4 + 2 4 + 3 4 + 12 Σ

A: By using sigma notation to write the sum.54+1+54+2+54+3+...+54+12  

Q: 10. J =-2x+1)a dx Learning Task 3: Complete the table by identifying u and du for the integrals. Not...

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Q: Approximate the critical numbers of the function shown in the graph. Determine whether the function ...

A: Solved below

Q: Find the differential dy of the given function. (Use "dx" for dx.) a. y = (x+2)/(4x-7)   dy=   b. y...

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Q: Simplify

A: we need to simplify 1x-1+x+3x-3+1x+4

Q: Find the extrema of the following function on the given interval, if there are any, and determine t...

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Q: Solve the following systems of equations. Sketch their graphs and identify the intersection points i...

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Q: sinh(3r) 8. Solve for f(21)(x) given that f(x) = 3

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Q: Find the area of the parallelogram that has u = 2i – 3j + 2k and v = 2j +k as adjacent sides. NOTE: ...

A: The given question has been solved in detail. 

Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density ...

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Q: The vector n = (7, –4, 2) is normal to the tangent plane to z = h(x, y) at (4, –5,6). Estimate h(4.0...

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Q: h(x) = sin? x + cos x 0 <x< 2n X =

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Q: Determine the resulting surface area when the curve y = x is rotated about the y-axis in the interva...

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

Q: 1. Given the function f:x → Inx. a) Find the interval on which f is increasing. b) Find the point at...

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Q: 5-14 1 Solve the differential equation. 5. y' + y = 1 6. y' – y = e* 7. у' 3 х — у 8. 4x’y + x*y' = ...

A: According to our guidelines we can answer only three subparts.Question 5,Given,           y'+y=1

Q: The graph of f is shown below on the TY-plane. Explain why y = 0.8(r – 1) +0.4(x – 1)² + 0.1(r – 1)3...

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Q: What are all of the solutions for the equation: cos²(θ) – 3cos(θ) – sin²(θ)= –2 on the interval of [...

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Q: Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an an...

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Q: Given that e* and e5x are solutions to the differential equation y" - 4y' - 5y - 0, find the possibl...

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Q: Lake Taal has a volume of 458 cubic km, and its rate of inflow and outflov are both 175 cubic km/yea...

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Q: Find the general Solution of the Partial differential equation (xz + yz)p+ (xz- yz)q = x' + y?

A: This is Lagrang's linear equation so solve using auxiliary equation. 

Q: Find the value of the derivative (if it exists) at each indicated extremum. (If an answer does not e...

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Q: Use Newton's method to approximate a root of the equation 3z + 2c + 1 0 as follows. Let 1 = 1 be the...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: Find the equation of the tangent plane to the graph of f(x, y) = In (13x² 10y²) %3D at the point (1,...

A: Solution is written in below steps.

Q: Find the area under the graph y 2x + 3 on the interval -1, 2). 2]. AY 8- 71 6. 4 ++H+ 54 3. 1 234 5 ...

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Q: entiable at x = 1. What is f'(1)?

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Q: Let f be a differentiable function. Consider the relation = x•f where z is implicitly defined in ter...

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Q: Find the particular solution if dy/dt=sin(t) and y(2)=2.

A: Topic:- application of integration

Q: A street light is at the top of a 20 ft tall pole. A woman 6 ft tall walks away from the pole with a...

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Q: 18. 2ху' + у %3D 6х, х> 0, у(4) 3 20

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Q: logzx = 3 – log,2x 7. In(x + 2) + In x = In(x+ 12) Pgol+x0ol 6. log 3x + log 2x = log 150 %3D 8. 15(...

A: As per the company's guidelines, we are supposed to solve the first three sub-parts for you, kindly ...

Q: Let a = ci + jand b = 4i + 3j. Find c so that the angle between a and b is=. Round your answers to f...

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Q: Solve the differntial equation by integration x? dy + 3xy=x4

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Q: ) Solve the following inequalities and draw them on the number line 3x+2 1) 2x-2 2) 15y-31-2 s 10 3)...

A: Since you have posted multiple questions i can do first question (with all subparts) as per our comp...

Q: 1+2+...+n 2. Let n be a positive integer. Evaluate lim if possible. If not possible, explain n2 n 00...

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Q: dy using implicit differentiation. dx 3. Find sec (xy?) = (cosh x)(tanh =+/9) + 2 csc¬1 (tan(y + 1

A: Given: sec3(xy2)=(coshx) (tanhx+sqrty)+2csc-1(tan(y+1)).

Q: Match each Power Series with it's centre. One of the series is not a Power Series, so match that ser...

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