1.80 Find an open cover of the interval (-1, 1) that has no finite subcover. Justify your claims. 1.81 Find an open cover of the interval (-0, o0) that has no finite subcover. Justify your claims.

Q: Find the linearization L(x) of the function at a. 9 f(x) = a = 3 - L(x) =

A: We have to find the linearization L(x) of the function at a.  We have, f(x)=9x and a = 3 

Q: 00 n Does the series (-1)"n*=| converge absolutely, converge conditionally, or diverge? n = 1 Choose...

A:

Q: Consider the graph of the function f (x) = x2 – x – 6. (a) Find the equation of the secant line join...

A:

Q: Use Green's theorem to evaluate s cy? oy)dx + (y²rlo4") dy where Cis s hoon belbw, N y = 2-x² G,1)

A: The given path contains 4 curves: C1:  from (1, 1)  to  (-1, 1)C2:  from (-1, 1)  to  (-1, -2)C3:  f...

Q: 75 ft A pole stands 75 feet tall, An angle 0 is formeđ when wires of various (engths of r feet are a...

A:

Q: Find the Taylor polynomial of orders 0, 1, 2, and 3 generated by f at a. f(x) = cos x, a == Po(x) =]...

A:

Q: Write the equation of the sphere centered at (5, – 2, 4) with radius 3.

A:

Q: 3) Does E-1 ati converge? 00

A:

Q: If g = 1845°, simplify the expression sin- (sin g). If undefined, enter Ø. %3D

A:

Q: Use the difference an+1 – an to show that the sequence {n – 2"}n=1 - is strictly increasing or stric...

A:

Q: Let (M; d) be a metric space. Show that the set {B(x; 1=n); x ∈ M; n ∈ N*} is a Basis for the metric...

A: Given :  (M; d) be a metric space. To Show :  the set {B(x; 1=n); x ∈ M; n ∈ N*} is a Basis for the ...

Q: 13 Find the Maclaurin series for f(x) = 1+x 13 -? 1+x What is the Maclaurin series of

A:

Q: Use the ratio test to find the radius of convergence of the power series. 00 4x" Σ n=0 3" (n+ 1)

A:

Q: Determine whether the function is a polynomial function. If it​ is, identify the degree.   ​g(x) = 3...

A:

Q: f f(w) = tan (3w), find f'(w). Use exact values. f'(w) =

A: Given query is to find the derivative of the expression.

Q: Find the x vals of all pnts where the function over the given interval has any relative extrema & fi...

A: The given function,    f(x)=7sinπx ; 0<x<2π

Q: 25.) Find the radius of curvature of a parabola y? - 4x = 0 at (4,4).

A: Solution is given below:

Q: Find the volume of the solid obtained by rotating the region below the graph of y = e-2x about the x...

A: Given problem:- Find the volume of the solid obtained by rotating the region below the graph of y = ...

Q: Discuss the similarities and differences between what it means for a sequence to converge and what i...

A: Sequence and series. 

Q: 137 What is the value of cos-(cos d) where d = 15T radians? If undefined, enter Ø. 2 Provide your an...

A:

Q: this subject is all about integral calculus.. please do help me with the image i uploaded... please ...

A:

Q: f(x) – f(a) Simplify the difference quotient for the given function. X-a f(x) = 4 – 2x – x?

A: Given query is to perform indicated operation on the function.

Q: Consider the following function. y3D - 2x + 2 (a) Find y' = f'(x). (b) Find the critical values. (En...

A: ANSWER: As per guidelines we can do only first three subparts , the solution is given below : 

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A:

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A: Given the improper integralI=∫01ln(7x)dx

Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series c...

A:

Q: 2. (D+7)°y = 0

A: Hope you are asking for question number 2 in part C  I am answering it here.

Q: gent subsequer O an = (-2)" O an = 1+ (-1)" · 10(-1)"-n n sin () %3D O an = O an = 1+2· (-1)"

A:

Q: Find the derivative of the function. y = a6 + cos6 x y'(x) =

A: Given

Q: Given the function: f(x,y) = x cos (xy) – x²e*Y - Find fa(x, y) а. b. fy(x, y) a fzy(T, y) C.

A: As per our guideline we are supposed to answer 3 sub parts of a question please repost the other que...

Q: Calculate S3, S4, and S5 and then find the sum for the telescoping series 1 S = n=5 n+1 n+ 2 where S...

A: Given: S=∑n=5∞ 1n+1-1n+2

Q: Answer the following True or False: If g(x) is the inverse of a differentiable function f(x) with de...

A: Find your answer below 

Q: Given sets X and Y. For x EX and for y E Y, we form the Cartesian produc X x Y := {(x, y) : x E X, y...

A: Given that: X={-1, 1}Y={-2, 0, 2}

Q: Test the series for convergence or divergence. 3.7.11 (4n – 1) · (5n – 1) * 4. 9. 14... n=1 Part 1: ...

A:

Q: Find the abs extrema as well as all values of x where they occur for the domain.   f(x)= x/12 + 1/...

A:

Q: Evaluate the ff: 23 D S fda, given f 6)- and acx) F 1 3+3 X

A: Let's find. 

Q: [sin (21x) dx

A: ∫sin4(21x)dx Note- sin2x=1-cos(2x)2 and cos2x=1+cos(2x)2

Q: A time study showed that, on average, the productivity of a worker after t hours on the job can be m...

A: The productivity of the worker after t hours is given by: P(t)=21t+6t2-t3, 0≤t≤8 where P is the numb...

Q: lim (3+ 2)

A:

Q: To the nearest tenth, what is f′(k) if f(x)=0.09e^xln(x) and k=8?

A:

Q: Question Calculate for w = zsin(xy2 + 2z). Do not include in your answer. Provide your answer below:

A:

Q: 11+11-12=

A: Given that: 11+11-12

Q: 1. Find by implicit differentiation for xe = 2xy + y³.

A:

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. cos'x sin x dy + (y cos²x – 1) dx = 0 2. xy' =2xex - ...

A:

Q: Evaluate the integral S - dx V16-x2

A: Evaluate the integral of the integrand  x2/√(x2-16) .  

Q: The height of a hot air balloon can be modeled by the function S(t) = −2t2 + 60t + 1, where S(t) is ...

A:

Q: 1. Find the length of the curve r(t) = (sin 2t, cos! cos 2t) from t =0 to t 2n. %3D II

A: 1)- Given: r→t=sin 2t, cos 2t from t=0 to t=2π. The objective is to determine the length of the curv...

Q: A particle is moring along ASit reaches to the point 2,6), the y-cordinate S decrea Sing ata rate of...

A:

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A:

Q: 20 18 16 14 12 10 8 D 6. 4 0 1 3 4 6 7 8 9 10 11 12 Quantity Suppose that supply and demand at a mar...

A: