Find the arc length of y = (x +4) + (x + 4)- for 1 < x < 2. (Give your answer to three decimal places.) S =

Q: Let f(x)= -6x^4+8x^3+72x^2 a) lim x-> +inf f(x) b) lim x-> -inf f(x)

A: Here, the given function is: f(x)=-6x4+8x3+72x2 Here, note that the leading coefficient is negative.

Q: Let h(x) = sec(x). Find h'(0).

A:

Q: 1/3 Find the minimum and maximum values of the function y = (t – 3t²)" on the interval [-1,2] by com...

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find a singular value decomposition (SVD) of the matrix: 3 2 2 H = 2 3 -2

A: Given Matrix is  H=32223-2 Then SVD of H is given by: H=UDVT Where, U=Matrix of the orthonormal eige...

Q: Find symmetric equations for the line of intersection of the planes. 4x — 2у — 2z %3 0, 2x + y + z =...

A: NOTE: Refresh your page if you can't see any equations. . system Ax=b is 

Q: Suppose you solved a second-order equation by rewriting it as a system and found two scalar solution...

A: Given:     y = e4x      z = e5x   

Q: not 2022-02-20 5.44.12 PM.png Discard edits Save Find the time required for an object to cool from 3...

A: Use integration formula

Q: Solve the differential equation: (2y+3)y'=-(1-3t²)

A: Given that: (2y+3)y'=-(1-3t2)

Q: Given that 2 + [* dt = 3x-1 find the function f and a value for a. (Hint: See what happens if you di...

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: V3 2dy 3 у\у2-25 y.

A:

Q: 3. [x*e"dx x'e

A: Given query is to find the value of the integral.

Q: Which among the following illustrates the limit of an identity function? O lim z = 2 I+2 O lim z = 2...

A:

Q: Suppose that 5 J of work is needed to stretch a spring from its natural length of 24 cm to a length ...

A: NOTE: Refresh your page if you can't see any equations. . Natural Length=24 cm=0.24 m Extended Lengt...

Q: 6. Roughly, speaking, we can use probability density functions to model the likelihood of an event o...

A: we have to just apply the conditions which is already provided in the question  Given function must ...

Q: find the point (x,y) at which the graph of y=7x2+5x-6 has a horizontal tangent line.  The function ...

A:

Q: What is the absolute maximum on the curve x2 4х — 7 on the interval [-7, -3]?

A:

Q: Pls help ASAP

A:

Q: 1 1 xa(1 - x)*dx = | x*(1 – x)ªdx Þ(1 – x)ªdx

A: Given: - The  equation is, ∫01xa(1-x)bdx=∫01xb(1-x)adx, That if a and b are positive numbers. To pro...

Q: cos -1

A:

Q: As the table shows, projections indicate that the percent of adults with diabetes could dramatically...

A: This question can be solved using line of best fit(method of least square)

Q: 5. f(2)=-_? 2x+4 %3D 7. _*+1 * +x+1 f(x) = - 2. 9. 2-4x+3, x#0 f(x) = x=0

A:

Q: Analyze the polynomial function f(x) = (x + 6)(x – 1) using parts (a) through (e).

A: Given:- f(x)=(x+6)(x-1)2  To find:- c. Determine zeros and multiplicity d . maximum number of turnin...

Q: a. lim f(x) b. lim f(x) x→4+ c. lim f (x) 1. x-4 X→4-

A: Given query is to find indicated limits.

Q: xe-x*dx dp.

A: ∫-∞ ∞ xe-x2dx  

Q: The cost of fighting crime in a country increased significantly during the period 1982-1999. Total s...

A: Given that : P(t) = 1.744t + 29.84 billion dollars C(t) = 1.099t + 10.65 billion dollars J(t) = 1.91...

Q: Find the derivative f'(x) of the following function f(x). f(x) = sinh (x + 8x*)

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

Q: Determine the area of the given region. y = x + sin x 3+ 2+ 1 4.

A:

Q: Find the volume of the solid obtained by rotating this region about the line x = 3.

A:

Q: Calculate the average rate of change of the given function over the given interval. Where appropriat...

A: The given function,  f(x)=x2-3 ; 0,10

Q: what is the answer for a? The graph of f behaves like y = [  ] for large values of |x|. Is it positi...

A:

Q: Find the slope of the graph of the function f(x) = V3x at (3,3). Then find an equation of the line t...

A:

Q: e height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = - 1...

A:

Q: Find the general solution to y = -e*y² + y +e²

A: Given first order differential equation is solved by using integrating factor.

Q: Evaluate : 1) | cos x 3) [ cos x 2) [ ,cot ydy sin' x 1+ sin x 7/4

A:

Q: QUESTION 1 Which is the best descriptor of the level curves for a function f(x.v)? a. A selection of...

A:

Q: Let F(x) = f(r°) and G(r) = (f(x))° . You also know that a = 12, f(a) = 2, ƒ'(a) = 15, f'(aº) = 5 Th...

A: We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x   Given: Fx=fx9 ; Gx=fx9a8=12...

Q: Write the equation of the tangent line to the graph of y=x2  the point where x=2.5

A:

Q: sin 0 = 1 to determine the limit. Use the relation lim tan 0 lim 0→0 0 cot 7O

A: We know that  limθ→0 sin θθ = 1 Also  limθ→0 sinaθaθ = 1   where a is any real number.

Q: Let f(x) = -3x° + 8x – 5 Use the limit definition of the derivative to calculate the derivative of f...

A: The given function,  f(x)=-3x3+8x-5

Q: If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: In(a³b') (c) In(bc) - 3 1 а (d) (In ...

A:

Q: Consider the curve defined by the equation 2x + y = 3xy for questions (4-6). %3D 2 1 -3 -2 -1 1 2 3 ...

A: The given curve is: 2x3+y3=3xy

Q: Analysis: Real-life Applications Derivative is defined as the rate of change of a function with resp...

A: solution:-N(t)=2500(1+2t2)the rate change of the number is:N'(t)=ddtN(t)= ddt2500(1+2t2)=2500ddt(1+2...

Q: 2. 4)Evaluate Na89-x²

A:

Q: 3. S cos? x dx 1+sin x க

A:

Q: Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direct...

A:

Q: The figure below shows the graph of a function over the closed interval -25xs2. Complete parts (a) t...

A: Topic:- calculus

Q: Use the chain rule to find the derivative of 15 f(x) = 4( – 2a + 10x')" You do not need to expand ou...

A: We can find the derivative using chain rule as below

Q: 12) sin-1 -1 14) tan 0 V3 16) sin-! |

A:

Q: It is DC if not. 1. Answer C. a. lim f(x) X-2 b. lim f(x)

A: Given that: 2. Graph of f(x)

Q: Consider the graph a function f along with its inverse fI, The slope of the tangent line to the (1.)...

A: