1 Discuss the continuity of the function f(x) on the interval (0,2] and [-1,3] x2 -4

Q: :-'In²(Ine*)dx A In?x В Inx C Ine* D) Inx2 E None

A:

Q: alignment at x² + x – 1 limx→ 2x2 — х + 1 has a horizontal at???

A: Topic = Limits

Q: Differentiate the function by using the definition of derivatives. f(x + h) – f(x) f'(x) = lim h-0 h...

A: Given :f(x)=x3f'(x)=limh→0 f(x+h)-f(x)h

Q: 2. Stanley Ford makes mountains out of molehills. He can do this with almost no effort, so for the p...

A:

Q: 1. (a) Find the first four nonzero terms of the Taylor Series for the given function centered at a #...

A:

Q: Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x3 – 2x2 – 4x + 1, [-1, ...

A:

Q: A cola vending company estimates that their cola will be consumed by people at a rate given by: C ′...

A: Topic = Algebra

Q: Question Select your answer. On which interval(s) is ƒ(x) = 2 ln(x² +x – 20) continuous? (-00, –5) (...

A: Topic:- calculus  Note :- as per our guideline if more than one question uploaded than only first qu...

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

A:

Q: У(xtanx + Inу)dx + tanxdy 3D C

A: The given equation is; y(tan x+ln x)dx+tan xdy=0

Q: Consider the series (-1)"(2x+ 3)". n=0 (a) Find the series' radius and interval of convergence. (b) ...

A:

Q: et kdt k A True B) False

A: First we solve L.H.S then solve R.H.S . We use the formula integration of eat=eat/a

Q: Given the general solution to a differential equation and its initial conditions y(x) = C, e + C, e-...

A: Answer and explanation is given below...

Q: Choose the angle (in radian) between the following two vectors u = (3, 7, – 8) and v= (-5, 4, - 3) O...

A:

Q: A vehicle purchased for $32500 depreciates at a constant rate of 8%. Determine the approximate value...

A:

Q: 2 Find all local extreme values of f(x) = a – 5a? + 8x – 50. 3 The FIRST local extreme value, moving...

A:

Q: 6. Consider a surface E = {(x, y, 2) | z = f(x, y)}, given by the graph of a function f(x,y). Sketch...

A:

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3 cm/min....

A: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3 cm/min....

Q: 11. Find the slopes of the curve y y?- r2 at the two points shown hcrc. 2 (V3 = y2 - x?

A: we have the curvey4=y2-x2

Q: flIth)-f(1) find lim.

A: Given query is to find the Indicated expression.

Q: A manufacturer estimates that its product can be produced at a total cost of C(x) = 45,000 + 100x + ...

A:

Q: dy 9ху — 5у dx

A:

Q: . If f = In(x² + y² + y³ ) then find the divergence of falso find its magnitude at 2 3)

A:

Q: k 2. Σ-0(-1)* -, 100 k+1

A:

Q: Let g(s) = (5s – 8)*. - Then g'(s) is g'(3) is s! (s),,6 and g''(3) is

A:

Q: Question / Iil Use the defination of improper integray to define 1. dox 1.2 use your defination in H...

A:

Q: csc5x cot5x dx A csc 5x -csc5x B 3 -csc5x 3 D csc5x E None

A:

Q: Find the derivative by use of definition y = 3x / sqrt 2x + 1 Please answer asap

A:

Q: Q2: Use Cramer's Rule to solve the system:- 4х — у +z%3D-5 2x + 2y + 3z = 10 5х — 2у + 6z 3 1

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

Q: Given f(x) = x- 1 and g(x) = x2- 1 Find and simplify the following 1. g {f (x)} 2. g-1(x)

A:

Q: Expand $it) in Fourier series in the interva) (- 2, 2) when fit) = -2st <o %3D 1.

A:

Q: 1 4lnr Evaluate: | (A +C - 2(r5 – 3) +C 2(,5 – 3) 2 +C 15 4lnr 4

A:

Q: Find the derivative of the function.   g(x) = 9 3   x + 8

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: dy Find dx if y = x (log2(x* – 4x))° dy dx ||

A: Topic = Derivative

Q: Write out the first four terms of the Maclaurin series of f(x) if f(0) = 4, f'(0) = –15, f"(0) = 8, ...

A:

Q: Evaluate: 3 +4dy

A: ∫ 3y3y+4dy  

Q: ekt kdt, where k is constant k A True B) False

A: B) False   

Q: Determine the value of x of the continuous function: * (x – 1 x 3 f(x) = {3x – 3 Зх — (-4x + 3

A:

Q: Calculate the Taylor polynomials T(x) and T3(x) centered at a = 8 for f(x) = In(x + 1). T2(x) = (r-8...

A:

Q: Given that f(x) = 5x° + x³ + 2, find the derivative of f- by using dy che formula d.x 1 Check dx you...

A: To find: The derivative of inverse of f(x)=5x5+x3+2 by the formula dydx=1dxdy. Calculation: Find the...

Q: TO Show Jv - x-V そーレ V+ dx

A: Jvx = ∑m=0∞ -1mx22m+vm! m+v!

Q: Find all the first partial derivatives of; glw,2, y, z) = xe2w - wyz?

A: Topic:- partial derivatives

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

A: we need to find the extreme points of f(x,y)=7x-8y+2xy-x2+y3  

Q: 2. (a) Determine whether the Mean Value functions on the given interval [a,b].

A:

Q: Find the shortest distance from the point (2,0, –3) to the plane x + y + z = 1.

A: This is a problem related to geometry part. Based on the concept of plane and point we will find the...

Q: Compute the surface area of the solid of revolution formed by rotating the bounded region formed fro...

A:

Q: 5. Discuss real world quantities that the circulation of a vector field around a closed loop could m...

A:

Q: S sinrdr In(cosr – 3) ° cosr -3

A:

Q: 12x2-5x+7 lim x++00 V9x²–7x+13

A: Hello learner, we can answer first question as per the honor policy. Please resubmit other question ...