secx 7. When does the graph of the function f(x) have a horizontal tangent? 1+ tanx

Q: Find the value of a that will make the function continuous at every real number. x 2

A:

Q: Calculate the area of the figure given by the law of the mean of two bases 15 :8 13 10 11 8. 8 8. 8.

A: Area of trapezium =12(sum of two parallel sides)×heightArea of triangle=12×base×heightArea of figure...

Q: 3x (2) Determine the inverse of the function ƒ(x)= 2x -5

A:

Q: TO Show Jv - x-V そーレ V+ dx

A: Jvx = ∑m=0∞ -1mx22m+vm! m+v!

Q: Sketch the region enclosed by y = 4x and y= 6x². Decide whether to integrate with respect to x or y....

A: Given query is to find area under the curve.

Q: f(x) = x2 + 7x +  5 x f '(x) =

A: Given query is to find derivative of the expression.

Q: Determine the value of x of: * (x² – 1 f(x) = { x – 1 x 1

A:

Q: |(9 cos(9 x) +4 sin(4 x))dx =sin(9x)-cos(4x) +c Select one: True O False

A: topic- indefinite integral

Q: 1. For 4 of the following 5 series, Determine, with justification, whether the absolutely convergent...

A:

Q: 2 3 2 Q5. Evaluate the value of integral |[xy'z dx dy dz . 0 11

A: I have stated the used formula in the solution

Q: 1. The graph of a tunction f is displayed below What is the limit of f(=) approaches O? +++ i23 456 ...

A: Given question:- What is the limit of f(x) as x approches 0

Q: Given the Table of Values for the given limit, which of the following is FALSE?

A: The objective is to find the false option.

Q: The n-th term in a sequence an is given by an = 3-eol (a) Is this sequence increasing, decreasing or...

A: Given:           an = 3-e-3n (a) Here:      a1 = 3-e-3(1) =3-e-3        a2 = 3-e-3(2) =3-e-6       a...

Q: Use appropriate Lagrange interpolating polynomial for the following table and approximate f(1.5) Xi ...

A:

Q: Apply integration by parts: S udv - S vdu = uV sin2x – cos2x dx sin2x + cos2x

A: Integrate the function (sin2x-cos2x)/(sin2x+cos2x) w.r.t. x 

Q: The present value of a sum of money is the amount that must be invested now, at a given rate of inte...

A:

Q: The Taylor polynomial of order 2 generated by a twice-differentiable function f(x) at x= a is called...

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Q: Find the area of the shaded region. r= 4 + 3 sin(0) TT - 2 2

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Q: lim f(x) 2. x2 6 7

A: Topic = Limits

Q: Given the differential equation y" - 4y' = 0

A: given differential equation is -  y"-4y' =0   

Q: If the total revenue function for a computer is R(x) = 2600x - 11x2 - x3, find the level of sales, x...

A: Given problem:- If the total revenue function for a computer is R(x) = 2600x - 11x2 - x3 find the le...

Q: minimum values and saddle point(s) of the function, If you have three-dimensional graphing software,...

A:

Q: (х +у—4)dx — (х — у + 2)dy %3D0 -

A:

Q: 15-28 Sketch the graph off by hand and use your sketch to find the absolute and local maximum and mi...

A: Find your answer below 

Q: e3 (20" – 1) dx (e – 2)“(e« + 1)+ 6x 3x A 2e3 -1 B B 2e -e D(e+1)+ E 6x 3x F) None

A:

Q: Given the differential equation y" + 7y' + 12y = 8x e-3x Determine the General Particular Solution f...

A:

Q: Evaluate: dt A 4e*+C B +C +C 4 C D pert +C 4 E None

A: Topic:- integration

Q: The weak Axiom of Revealed Preference is satisfied by the choices of demand bundles xD(p) at any com...

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Q: 3t 3 dt +C 3lna A) True B) False

A:

Q: c =

A:

Q: Juan's body metabolizes caffeine at a rate of 14.2% per hour (so the amount of caffeine in Juan's bo...

A: The amount of caffeine in Juan's body decreases by 14.2% each hour.

Q: Describe data in terms of variability, association, and relative standing.

A:

Q: Find  f '(x). f(x) = (x2 + 4x)(x + 3)

A:

Q: Find the limits of the functions below a) lim,-3 2x3 sin a b) lim

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Q: -siny(x + siny)dx + 2x²cosydy = 0

A:

Q: a. Find the equation of the line tangent to the following curve at the given value of x. b. Use a gr...

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Q: Find the volume v of the solid obtained by rotating the region bounded by the given curves about the...

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Q: 3lnx +2x4 A 3lnx B D 3lnx+ 2x+ E None

A: First we simplfy given expression using am+n=am.an and then put 2x4=u and differentiate both sides w...

Q: dy if tan (xy + y) = dx = x. %3D Use implicit differentiation to find dy dx

A: We know,  d/dx (tann x) = ntann-1 x.sec2x d/dx(y2) =2ydy/dx by Implicit Differentiation. 

Q: What is the maximum value of f(x) = x³ + 3x2 -2 ? %3D Answer:

A: Solution: f(x)=x3+3x2-2 find the maximum f(x)  

Q: unction f(x, y) = 7x – 8y + 2xy – x² + y°

A: Given:- f(x, y) =7x-8y+2xy-x2+y2 To find:-

Q: Direction: I. Determine whether the series converges using any appropriate test. Identify the test f...

A:

Q: 11. sec(x)/sec(x) + tan(x)dx

A:

Q: 3 y = log ( cos DIFFERENTIATE THE GIVEN:

A: The detailed solution is given below Thank you 

Q: (a) Solve the following: (ii) log,(x+3)=1-log,(x-1)

A:

Q: Evaluate: (x² – 1 х1

A: Topic:- limits and continuity

Q: Find the directional derivative of the function at P in the direction of v. f(x,y,z) = x²+y²+z² P(1,...

A:

Q: Evaluate the following improper integral. Give an exact answer. (Remember, the natural exponential f...

A: Topic:- definite integration  

Q: 1- 2x b) f(г) — x² + 1

A: (b) To find the derivative of  f(x)=1-2xx2+1 The function is of the form f(x)=uv where u and v are f...

Q: Calculate the definite integral. 4xy Vx2 + y2 dy Calculate the iterated integral. (1 (1

A: Here we have to calculate ∫014xyx2+y2dy