x? + 2х — 15 39. f(х) %3D х — 3 k, I= 3 sin x ** 0 40. f(x) = 2х k, I = 0

Q: Given 3xln xdx, which of the following is true? Select the correct answer below: The integral conver...

A:

Q: How much can you barrow to buy a house if you agree to pay $1500 per month for 30 years at 4.5% annu...

A: In the given question we have to calculate the amount needed to be borrowed of which monthly payment...

Q: The base of a solid is the triangular region bounded by the y-axis and the lines 2x + 3y = 6 and 2x ...

A:

Q: 1 The linear approximation at = 0 to is V2 – x A + Bx where A is: and where B is:

A:

Q: Solve the initial value problem (dy/dt) + 2y =7 , y(0) = 1

A:

Q: If In/x² + y? =sec, use implicit differential to proof the following: - (x²+y²). sec, tan dx

A: The given function is: lnx2+y2=secyx

Q: Select all the series that converge. 1 E(-1)"-1, Inn n=3

A: We have to find out the convergent series.

Q: nestion 17 2 sec(y) dy se integration to find the general solution to the differential equation: dx ...

A:

Q: Q1. Find the domain and the Range for the function: f(x) = |V1-x2

A: Given the function f(x)=11-x2 Now, For the domain  1-x2≠0⇒1-x2≠0⇒x2≠1⇒x≠±1And for the square root fu...

Q: A car traveled at a rate of 50 km/hr for 8 minutes and then at 25 km/hr for 7 min and finally at 20 ...

A:

Q: Firnd Por Th fanedhong! cathew y = Cotcx) Co

A:

Q: For each table, identify the parent function that corresponds to the new function given.  Then graph...

A:      Definition used -         Horizontal shift-          If the graph of a function f(x) is shifted...

Q: find if series diverges or converges. if converges, find its limit 1 Ln=1 Tn+ 6) (n+7)

A: Telescoping Series : A series is called Telescoping series if nearly every term cancels with a prece...

Q: Dep check the continuity of f(x) at x 0, 1, 2, 3 and 4 2-x, 0sx S1 2, 3, 15x S2 x = 2 2x-2, 2< x S3 ...

A:

Q: Bluetop Cab charges $3.20 for the first mile and$1.35 for each additional mile or part of a mile.

A: Given: Bluetop Cab charges $3.20 for the first mile and $1.35 for each additional mile or part of a ...

Q: v(1) 0.3 0.2 0.1 4. 9. 7 8 10 11 12 -0.1 -0.2 Caren rides her bicycle along a straight road from hom...

A: Acceleration is the rate is change of velocity with respect to time.

Q: Use log differentation.

A: The detailed solution is as follows below:

Q: Show every step

A:

Q: se a linear approximation (or differentials) to estimate arctan(1.001) – arctan(1).

A:

Q: Use substitution to solve the following system of equations. 3x + 3y = 24 AND y = x + 4 %3D ([?], [ ...

A:

Q: 1 approximate Use linear approximation, i.e. the tangent line, to 1 and as follows: Let f(x) - 0.504...

A:

Q: Q2: - If y = 3sec3t and x = etan3t prove that: - dy (In3)? dx y logy x

A:

Q: Suppose 0(t) measures the minimum angle between a clock's minute and hour hands in radians. What is ...

A:

Q: Given R(x), find R(−2). R(x) =  3x + 16 −6x3 + 37x   R(−2) =

A:

Q: Show steps

A:

Q: Consider the Vector function a.) Find t:0 ur leng th t= l the of rle) from to b. Find the curvatore ...

A: (a) part Consider the given vector function rt=t , t2 , 23t3 The vector function can be written as, ...

Q: Use implicit differentiation to find an equation of a tangent line to the curve, tan? y = e* at the ...

A:

Q: Define two vector functions F(t) = 8 sin(t)i + 6 cos(t)j + (t – 2)k ü(t) = 6 sin(t)i + 8cos(t)j + (t...

A: We have to find the dot product of r(t) and u(t)

Q: Use the given graph of f to find the following.         (a) The open intervals on which f is increas...

A: Authoring guidelines: ______________________________________________________________________________...

Q: Find the equation of the plane that contains points Pi(-2,1,4), Р2(1,0,4) and orthogonal to plane Р,...

A:

Q: FIND dy/dx for the following Question 27) y = Vsin x.cos x 1+ 2.In x 3 y cot x tan x 2 (ans.: 2 x(1+...

A:

Q: In AQRS, s = 520 cm, r = 170 cm and ZR=85°. Find all possible values of ZS, to the nearest degree.

A: Here we are given a triangle QRS. We need to find the angle S.

Q: Suppose a product's revenue function is given by R(q)=−8q2+1000qR(q)=-8q2+1000q , where R(q)R(q) is ...

A: Derivative of revenue function is called as the marginal revenue function.

Q: For each value below, enter the number correct to four decimal places.Suppose an arrow is shot upwar...

A:

Q: Consider the equation below. f(x) = 2 sin x + 2 cos x0 ≤ x ≤ 2? Find the inflection points. Find the...

A:

Q: Question 16 dy Use integration to find the general solution to the differential equation: dx х — 2 y...

A:

Q: COS X Use logarithmic differentiation to find y' for the function y = (sin x)°

A:

Q: 8 feet 9. As shown in the figure to the right, water is draining from the conical tank with height 1...

A: Given information: The height of the conical tank is 12 feet and the diameter is 8 feet. (a) To writ...

Q: Write an equation for the normal to the curve f (x) = 4 - x2 at x =1.

A: fx=4-x2,   x=1 Differentiating with respect to x, we get f'x=0-2x=-2x Now slope of the normal at x=1...

Q: verify that the matrix B is the inverse of the matrix A. - 3 -1 A В %3D 3 -4 [ 1 1 -1 0] -1 2 B =1 -...

A: (1).  The given matrices: A=112232          and        B=  3-1-4   2

Q: Please help me solve this

A: Given: Green fabric :  223 yard Blue fabric :  316 yard Black fabric :  512 yard

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim t→5  t2 − 3t − 10...

A:

Q: 2,3 Given z = sin (x + y) where x = s²t, y 2s 3t. az as az at

A:

Q: For each table, identify the parent function that corresponds to the new function given.  Then graph...

A: New Function: g(x)=-(x-2). Parent Function:  f(x)=x. Reflections:  The new function is obtained by r...

Q: Use the graph to write the formula for a polynomial function of least degree.

A: Given that by using graph we need to write the formula of a polynomial of least degree. Now,  By gra...

Q: (2х — у — 2 lim (ху) -(2,0) 2х —у —4

A: Multiply by 2x-y+2 in numerator and denominator- fx,y=limx,y→2,02x-y-22x-y-4=limx,y→2,02x-y-22x-y-4×...

Q: In ARST, r = 96 inches, t 33 inches and ZT=58°. Find all possible values of ZR, to the nearest degre...

A:

Q: In Exercises 13 and 14, find the slope of the curve at the indicated point. 13. f(x) = |x| at (a) x ...

A: Since you have posted multiple questions, as per our policy we will answer first question. Please re...

Q: Suppose that r = sin (f(2t)) where f(0) and f' (0) = 4. 3 dr at t = 0. dt Find the value of dr (Ente...

A:

Q: Thank you so much!

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.