Classify the series as absolutely convergent, conditionally convergent, or divergent. (– 1)* Σ k=I V6k(k + 1) The series is eTextbool divergent conditionally convergent >

Q: find the equation of the tangent line and normal line to the ff. curves at the indicated point.

A:

Q: 4. At Grande Anse Beach the height of the water in metres is O onainTEbigoT modelled by the function...

A:

Q: A solid wooden object tumed on a lathe has a length of 50 cm and diameters (measured in cm) shown in...

A:

Q: If 0° < 0S 360°, find all the angle measures of 0 that makes sec 0 = -V2 and Ssc e = V2.

A: Given,           secθ=-2 and cscθ=2To find : The measures of all angle, θ.

Q: MY NOTES ASK YO Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementa...

A:

Q: Solue the following d.e. 16 tang x

A: Let's find. 

Q: Se sin 3x dx Using integration by parts, if u = sin 3x and dv = e*dx , %3D what should be du and v? ...

A: We know that, The expression for the integration by parts: ∫udv=u·v-∫vdu   Given: I=∫exsin3xdx

Q: Find the second derivative in its simplified form. y=(7x^3 + 3)^6

A:

Q: Given f(x)= Vx -5;x+5 and g(x)=x +3. Find the domain of (gof)(x)? | All real numbers greater than 5....

A:

Q: 6- A thin plate with uniform density is placed in the region bounded by the circle.x + y = 25 in the...

A:

Q: र्® 5x

A:

Q: Find the tangent line to the curve y = 2x - x2 at (2,0)

A: The equation of the curve is given by y = 2x-x2 The point is x0, y0 = 2, 0 Formula Used: The formula...

Q: Find the points on the curve y = 2x3 + 3x2 – 12x + 1 where the tangent line is horizontal. (х, у) %3...

A: Solution ) given f(x) = y = 2x3 + 3x2 - 12x + 1 f'(x) = 2 × 3 × x3 - 1 + 3 × 2 × x2 - 1 - 12 + 0 For...

Q: If F is a continuous on the set of real numbers, then A True B) False

A: Note that we can take constant outside of an integration. So, the given statement is true.

Q: The cubic function of best fit to data is T(x)= -0.0103x^3+0.32x^2-1.37x+46.09 Use this function to ...

A: Basic curve fit problem 

Q: 4 (11) lim f(x) = X-0 (12) lim f(x): %3D |-10 -8 -6 -4 4 8 10 X +0 -2 -4

A:

Q: Find the maximum rate of change of f(x, y) = In(x² + y²) at the point (1, -4) and the direction in w...

A: Here, the given function is: f(x,y)=ln(x2+y2)

Q: Show that the limit does not exist: (y² + x – 1)² - lim (x,y)→(1,0) (x – 1)2 + y4

A:

Q: lim (-4 0 sin x x

A: Let ,I=limx→ 01sinx-1xTaking cross multilplicationI=limx→ 0x-sinxxsinxI=0-sin(0)0sin(0)I=00Which is ...

Q: 16. Use Implicit Differentiation to find an expression for dy/dx given r*y² + cos(y) = 1. %3D

A: Given: x3y2+cosy=1   We know that; The Sum rule: f±g'=f'±g' The Product rule: f·g'=f'·g+f·g' The Pow...

Q: 1. Find the moving trihedral and the curvature at any point of the curve R(t) = cos t î + sint ĵ+ k.

A:

Q: y 6- 5 4. 3+ 2 1 1 3 4 5 6. 7 Graph of g The figure above shows the graph of the differentiable func...

A: Graph of G is given.We need to find the value of a by using the given conditions.Below find the deta...

Q: what points, if any, does the graph of f have a local minimum? A. The graph has a local minimum at x...

A: We are aske to find local maximum and minimum of the function.

Q: Name and graph the following quadratic surface. 9x2 + 4z2 – 36y = 0

A: For (b) Sketch of z=9-x2-y2: The graph is a paraboloid.

Q: Solve the problem. Show illustrations. Find the dimensions of the right circular cone of greatest la...

A:

Q: When you evaluate: dx. The sum of the coefficient of X" for any constant n> 0 is. A None of the give...

A:

Q: D. Tell if the function is continuous at given interval. 31-35 2x+4 [-2,2]

A:

Q: lim cos x f(x) f(x)

A: Answer :-  Given limit x tends to π then cosx is what.

Q: A soft-drink vendor at a popular beach analyzes his sales records and finds that if he sells x cans ...

A: The given equation is P(x) = -0.001x^2+5x-1875. We have to find maximum value of P(x) ( profit). Cle...

Q: The base of a 10-ft ladder leaning against a wall begins to slide away from the wall. At the instant...

A: Given:          From the above figure     dxdt=6 ft/sec

Q: From the top of the tree, the angle of depression of the top of a cabin is 40° while from the bottom...

A:

Q: Sin x y = 2+Cos x

A: Given, y=sinx2+cosx We have to find the derivative of the above function.  

Q: 7. Sketch the graph of each of the following. (a) f(x, y) = 6 – x – 2y (b) f(x,y) = 6 – x²

A:

Q: 4. Find the derivative of the function using the definition of derivative. State the domain of the f...

A: f'(x) = limh→0 f(x+h)-f(x)h. The domain of the function is the set of all possible input values for ...

Q: Sin x 10. y = 2+Cos x 3 2+Cos x Ob. (2+Cos x)? Cos x C. (1+Cos x)2 1+2 Cos x d. (2+Cos x)? Oa. (2+Co...

A:

Q: Find the derivatives c %3D b)' y = e(4*+) c) y = e*(sin x %3D d) y = In(3xe-> %3D

A:

Q: 1 Σ 4 K(k + 2) k=1 eTextbook and Media

A:

Q: Solve the given differential equation. x²y" – 6y = 0 y(x) =

A: Let x=ez ⇒z=ln(x)⇒dzdx=1xSo, dydx=dydz*dzdx=1xdydzSo, d2ydx2=ddx(dydx)=-1x2dydz+1x2d2ydz2

Q: Vx - 9 lim X→81 X – 81

A:

Q: y = Sin- (3x – 1)

A:

Q: 19. Use the method of Lagrange multipliers to find the extreme values of f(x, y, z) = 4x + 2y + z, s...

A:

Q: 2. Let R(t) = }sin 4t î – bcos“(21) j + 2t Ř. Find the moving %3D trihedral of the curve of R(t) at ...

A:

Q: Solve for the value of "C" on the given differential equation below. Let y(1)=1 10 (x + y) dx - xdy ...

A:

Q: Show that f(x, y) = e2x cos(x + In y) satisfies the differential equation 2f - yfyx = 5f.

A: Given that fx,y=e2xcosx+lnyShow that 2fx-yfyx=5f

Q: 3n5 Consider the series 2n5 + 3 n=1 The Test for Divergence tells us that this series: Explain. migh...

A:

Q: Evaluate the Limit. Use L'Hopital's Rule wl 2lnx – x + 1 lim х-1 х2 + хх — 2 - x→1

A:

Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT. 1...

A:

Q: Determine the equation of the line through the point P tan) that is parallel to the line with equati...

A:

Q: (1+ e2x) dx 2X

A:

Q: Which of the following is equivalent to 24 f /4- da O none of these • 12 f(1 -cos 0) dº O 24 f (1 - ...

A: