-2F (a) f(-2) DNE (b) lim f(x) x→-2 DNE (c) f(0) 4

Q: Use integration by parts to evaluate the definite integral. t° In(t)dt

A: Given that, I=∫1et2ln(t) dt we have to calculate the value of the integral.

Q: Show all steps please

A: Given: fx, y=x2+ky2+5xy

Q: Solve the differential equation

A: A first order differential equation in separable form is given by: dydx=gx. hy & hy≠0 where gx i...

Q: please help solve

A: (a) The intersection point of the lines y=-x-2 and y=-2x-8 gives the solution of   

Q: next set of i, ii, iii questions:

A:

Q: Choose the correct Taylor expansion of f(x)= xi using the first three non-zero terms at a=1, then us...

A: The Taylor expansion of a function fx centered at a can be written as, fx=fa+f'ax-a+f''a2!x-a2+........

Q: attached question

A: Given: ∫2∞2xx2-4dxTo determine whther this integral is converges or diverges

Q: etermine whether the series converges or diverges. If it 4" –1 (Hint: The summation of a difference ...

A: The given series is ∑n=1∞4n-17n=∑n=1∞an ⇒an=4n-17n

Q: Find a particular solution of y″ - 6y′ + 9y = e3x?

A: Given: y''-6y'+9y=e3x

Q: Determine if the series converges or diverges

A: NOTE : As per Bartleby guidelines for more than one question asked only one is to be answered please...

Q: 1.Let matrices be 19 4 -4 B = | 4 7 [-4 0 11] -2 -21 1 [3 C = 0 -2 A =| 10 -3 1 L-10 5 1 [4 a = |1 b...

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

Q: Determine the intervals on which intervals the function f(x) = x² – e² is concave up or concave down...

A: Here, the function is  f(x)=x2-ex

Q: A company is increasing the production of a product at the rate of 25 units per week. The demand and...

A: GIvenP=50-0.03xC=5000+30x-0.04x2To findrate of change of the profit withh respect to time.

Q: A three particle system with with masses: m1 = 5.0 Kg, m2 = 3.0 Kg and m3 = 5.0 Kg. The position co-...

A: Given: A three particle system with with masses: m1 = 5.0 Kg, m2 = 3.0 Kg and m3 = 5.0 Kg

Q: In the given equation as follows , find dy/dx:- see the equation as attached here

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It...

Q: Find the local extreme values of ƒ(x, y) = x2 + y2 - 4y + 9?

A: Given: fx, y=x2+y2-4y+9

Q: Find the equation of the tangent line to f(x) =1 – x² at (1,0). -

A: here we use formula  y-y1=m(x-x1) at point (1,0)  

Q: State all properties of the parabola (x+4)^2= -12(y-2) Vertex: __________   Opens: __________   Focu...

A: Given Equation of parabola x+42=-12y-2 To do  State all properties of Parabola

Q: Determine the convergence or divergence of the series.

A: Given: ∑n=2∞nln n

Q: For the function f whose graph is​ given, determine the following limit.

A: We know that for any given functiony=fx at x=a limit will exist If, limx→a-fx=limx→a+fx

Q: Find a power series representation for the function. (Give your power series representation centered...

A:

Q: ar" arn–1 as a se

A: The summation given is, ∑n=1∞arn-1. For the series starts at n=0. Substitute k=n-1 which is index sh...

Q: (Posting this again) Somebody already answered this here previously but I just wanted to post it aga...

A: Given :Lui is pre -selling a collector's edition anime figure which is valued at5000 pesos.f(t)=1700...

Q: 61,67

A: 61) we have to prove that: sinα+βsinαcosβ=1+cotα tanβ

Q: The solid lies between planes perpendicular to the x-axis at and x = 6. The cross-sections between t...

A: Given: x12+y12=6

Q: 73,79 plz

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

Q: Show work neatly please

A: We have to find the given sequence of nth term is monotonic and whether it is bounded.  sequence is ...

Q: Write the equation of a parabola in standard form from the given information Vertex at (2, -2)  Focu...

A: Vertex of the parabola is at 2, -2 and focus at 2, -3. Now vertex is, h, k=2, -2⇒h=2  &  k=-2 Fo...

Q: Find the area of the surface generated by revolving the given curve about the x- axis: y = 19 – x², ...

A: Given,y=9-x2   squaring both the sides,y2=9-x2x2+y2=9x2+y2=32this is the equation of the circle with...

Q: 2.x S(1 + e2) e d O e^x + e^ -x + c O e^-1- e^x + c O (c^2x 1) / e^x + c O (c^-2x -1) e^x+ c

A: Integral is in some sense the inverse of the derivative. This is seen from the fundamental theorem o...

Q: Find a function fand a number al such that f(t) dt = 2/I 2+ for all a > 0). f(x) = a =|

A: Given that : 2+∫axf(t)t2dt =2x ,         for all x>0 We need to find the function 'f' and the num...

Q: 3. Evaluate the indefinite integral 1 -dx x' + 3x? 3

A: Given,

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A: Function is the unique relation where each x is mapped to unique y. It can be of many type, injectiv...

Q: sin 4. lim

A: problem is solved using L'hopital rule

Q: Please see image

A: Summation of each box needs to performed separately. Opening the summation individually and summing ...

Q: Show your work neatly pleaseee!!?

A: Given: ∑n=0∞ x2n(2n)!To find the radius of convegence of the power series

Q: Find dy/dx if x2+y2-2axy=1

A: Given: To find dy/dx if x2+y2-2axy=1 

Q: dt 4e -et

A: To evaluate the integral: ∫dt4e-t-et Solution: Given integral can be written as: ∫dt4e-t-et=∫1e-t4-e...

Q: Need help with grade 12 calculus homework question ASAP!

A: Definition of the velocity helps to find the required impact velocity. The path is modeled as h(t)=...

Q: From a thin piece of cardboard 40 in. by 40 in., square corners are cut out so that the sides can be...

A: Given: From a thin piece of cardboard 40 in. by 40 in.

Q: Answer with explanation and reason it out as well.

A: We know that a function fx is continuous at x=a if: limx→a-fx=limx→a+fx=fa Removal discontinuity mea...

Q: Test

A:

Q: Write the stabdard form equation of each hyperbola. Vertices (0,1) and (4,1) foci (-1,1) and (5,1)

A: Given,Vertices: (0,1) and (4,1)foci: (-1,1) and (5,1)Now,distance between vertices=4-0=4therefore,2a...

Q: 4b

A: GIvenw=ln(x2+y2+z2) where x=ue3vsin(9v) , y=ue3vcos9v and z=ue3vTo find∂w∂u and ∂w∂v

Q: Test the series for convergence or divergence. Vi j+ 7 J = 1 O convergent O divergent

A:

Q: 3 dx 4+x2 00 Find

A: Let I=∫2∞34+x2dx. Simplify the integration I by using the constant multiple rule. I=∫2∞34+x2dx=3∫2∞1...

Q: Please show complete solutions for the problem below: Luis is pre-selling a collector's edition anim...

A:

Q: 7 dx 7 X. de

A: Given that, y=x7+7x7   We have to find, dydx  

Q: Evaluate the integrals and state whether they are divergent or convergent:

A: ∫131xx2-4dx

Q: let A= (7,3), B= (7,7), C= (3,4) Let f(x)= solid line and g(x)= dashed line  Set up the integral tha...

A: