Explain if the function is continuous or not for the given number a. if x>1 if x = 1 ,a=1 if x<1 f(x) = {1 2x 2

Q: \ x² Vx2 + 16 Evaluate the integral: 29 dx (A) Which trig substitution is correct for this integral?...

A: The objective of the question is evaluate the indefinite integral .

Q: Find the divergence of the vector field V(x, y, z) = –5e*"i – e'0xyj + 4e®y=k. (Give an exact answer...

A:

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

A:

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

A:

Q: csc5x cot5x dx A csc5x B esc5x 3 -csc5x 3 D csc5x E) None

A: Given  ∫csc5x cot5x dx5csc5x3    

Q: To determine To find: The value of lim ( - →5 12-41-5 6(1-5)

A:

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

A:

Q: Use the Trapezoidal Rule with n = 4 steps to estimate the integral. (Hint: if you calculate using de...

A: This question can be solved by substituting n=4 in the general approximation of definite integral by...

Q: Given the demand function D(p) = 125 – 4p?, Find the Elasticity of Demand at a price of $1 At this p...

A: topic - derivative of a function 

Q: 3lnx +2x*dx A 3lnx B 2r4 | 3lnx + 2r4 D E None

A: To evaluate ∫e3 ln x +2x4 dx.  

Q: Detemine the x- values at which, g(x)= 2x-3x²+x 2x3+5x²-3x is undepined. Evaluate the limit ac x=8 u...

A: To find: The value of x at which g(x)=2x3-3x2+x2x3+5x2-3x is undefined also evaluate the limit as x=...

Q: Does the series converge or diverge? n=1 (In 1.5)"

A: We will use ratio test to find convergency.

Q: 7 B lim f (x)% = 6 T--2- A 2 1(-0.1, 0.5) B2 -7 -6 -5 -3 +2 2 -1 -2 -3 F E 3.

A:

Q: TRUE or FALSE. Type in "1" if TRUE, type in "2" if otherwise. | f(x)dæ = F(x) implies that d [F(x)] ...

A:

Q: Let f(x) = ln(2x). Note that 1 and 2 can be done at the same time if your answers are in table forma...

A:

Q: If sin(a) and a is in QII, and cos(ß) = and B is in QIV, find cos(a+B)

A:

Q: zV1 - (a – 1)}'da = a;+ :) a+b? What is

A: Given,             ∫12x1-x-12dx=a1b+πcTo find : What is a+bc.

Q: [1 23 A 3 4 5] Given matrix A above, in the matrix multiplication: IxA = A.What is matrix To create ...

A: Find your answer below 

Q: Suppose that P2(x) = a + bx + ca? is the second degree Taylor polynomial for the function f about æ ...

A: Given : P2(x) = a + bx + cx2 is the second degree Taylor Polynomial for the function f about x = 0. ...

Q: Below is the function f(x). 7+ -7 -6 -5 -4 -3 -2 1 4 -4 -5 -6 Over which interval of æ values is f' ...

A: This question is based on derivative application of function.

Q: A dancing contest has 11 competitors, of whom three are Americans, two are Mexicans, three are Russi...

A:

Q: Write an equation for the line parallel to y : – 3x + 3 and passing through the point (4,-16) y =

A:

Q: tan(tan3x)dx Evaluate: cos-3x -In |sec (tan3x)| + C (B ® - in [cos(tan3x)| + C © - sin( tan3x)| + c ...

A: We need to evaluate the following integral I = ∫tantan3xcos23xdx                            ...........

Q: 100 4. If En=1 an converges absolutely, then n=1 an converges conditionally (C). 1 For p > 1, the ro...

A: Theorem : If the series ∑n=1∞|an| converges, then the series ∑n=1∞an also converges.                ...

Q: Σ 11 cos n=1

A: We will use the concept of nth term test.

Q: The integral of any quotient whose numerator is the differential of the denominator is the LOGARITHM...

A:

Q: 2x +3x-2 (i) lim 2х-1 1 +1 1) lim x+2 x+3 x-3

A:

Q: 3 Q 11 -3 -2 -1 1 2 For the above rational function f( x ) = identify the interval on which f is con...

A:

Q: Q1:A/ Find the absolute maximum and minimum values of f(x) on the given interval. and local points I...

A:

Q: Consider the function shown below. V. 4 8 What type of function is shown in this graph? O A. density...

A:

Q: Evaluate: A 4e". 4e+C B +C +C 4 D +C E None

A:

Q: shadow moving? 3 25 ft åbove the ground. What is the rate of change of the length of her shadow when...

A:

Q: dy Given that y = x² log2(6 – 5x), find dx

A: This question can be solved using product rule of derivative.

Q: 1 Use the trapezoid rule and Simpson's rule to approximate the value of da with n = 4. 9 + x3 Note t...

A: Trapezoidal Rule :         ∫ab f(x) dx ≈ ∆x2f(x0)+2f(x1) + 2fx2+...+2fxn-1+fxnwhere , ∆x = b-anSimps...

Q: The right endpoints approximating R, is n always an over-estimate for the area under the graph of f(...

A:

Q: 3 1 321 A = B = 2 2 654 1 3 1. What is the size of A? 2. What is the size of B? 3. Is AXA defined? I...

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you ar...

Q: e^x Evaluate A arc sin e^x +c B arc tan e^x+ C arc cot e^x+ C

A:

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

A:

Q: Question Select your answer. The function below is continuous on which of the following intervals? [...

A:

Q: Calculus Question

A: Perform integration

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

A:

Q: dy Use implicit differentiation to find if tan'(ry + y) = x. dx dy dx

A:

Q: For sets A and B, define A+ B = {a +b: a € A, b e B}. (a) Prove that if A and B are open, then A+ B ...

A: Let X be the topological space and A,B⊆X where A and B are compact Let {Xα}α∈I be and open cover of ...

Q: 4

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: a*dy= +C Ina A True (B) False

A:

Q: The above is the graph of the derivative f '(x). How many critical points does the original function...

A: How many critical points of f(x)

Q: An airplane is flying on a horizontal path at a height of 3500 ft, as shown in the figure below. At ...

A: The solution of the problem is given in the next steps.

Q: A vertical plate is submerged (or partially submerged) in water and has the indicated shape. Explain...

A:

Q: 3lnx +2 x4 'dx

A: To solve the integral ∫ e3lnx+2x4dx Concept used: Power rule of integration: ∫xn=xn+1n+1+c ∫ eudu=eu...