Any line perpendicular to r(t) =< -1,2,5 > t+ < 1, 1, 2 >·

Q: 6. Find a set of parametric equations for the line tangent to the space curve at the given point. 2 ...

A:

Q: 1 dx (use trigonometric substitution) x/1+x6

A:

Q: Determine whether the series converges, and if so find its sum. 00 1k+2

A: Given that: ∑k=1∞4k+27k-1

Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. E (- 1)nn ...

A:

Q: Find the equation of the tangent line on the function f(x) = arctan (x²) at the point (1,).

A: We can find the equation of tangent line to the curve as below.

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 10" Σ...

A:

Q: Consider the following sequence: {a,) = {n – n²} Sn=1 Use an+1 - An to show that the given sequence ...

A: Calculus   sequence 

Q: Does the series (- 1)"n²| =| 3 converge absolutely, converge conditionally, or diverge? n= 1 Choose ...

A: We want to check the series is convergent or divergent.

Q: For each of the following pairs of functions f and g, determine if the level curves of the functions...

A:

Q: se 1 + where a and bare odd numbers. It is f(r, y) = ra + yb' %3D 0, se r +y = 0 %3D It is correct t...

A:

Q: Evalate the limit 6. lim (e + x)²/x

A:

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

A:

Q: Suppose it is known that for a given differentiable function y = f(æ), its local linearization at th...

A:

Q: Represent the function 8ln(8−x) as a power series (Maclaurin series) What is the radius of converge...

A: Given:- The function is, f(x)=8ln(8-x) as a power series. To find: - The radius of convergence of th...

Q: Find the linear approximation L(x) of the function g(x) = V1+ x at a = 0. L(x) = Use it to approxima...

A:

Q: 2. Use the following information to write out the polynomial functions in factored form. Sketch a gr...

A:

Q: Consider the function f(x)=1/x on the interval x>=1. find the Surface area and volume of the solid f...

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:

Q: For y = sqrt of 5x+8 ***As in 5x+8 is all under the square root symbol.   find dy, given x=2 and ...

A:

Q: 0.9012 82 82 82...

A:

Q: The graph of f(x) is given by 3 Determine the following limits. Write your answer in the form lim f(...

A:

Q: lim 2 tan 2/ TC 2. 8IN

A: Solving the problem by finding the value of the limit.

Q: sin(tan-) -

A:

Q: Entered Answer Preview Result 23 23 correct -3 -0.0241935 incorrect 124 At least one of the answers ...

A:

Q: An initial investment amount P, an annual interest rate r, and a time t are given. Find the future v...

A: P=$350 r=0.0272 T=12years Formula used A=P((1+(r/n))^(n*t))

Q: Show that the given differential equation is exact and then solve the given IVP: (3y² – t² \ dy t 0,...

A: Given equation 3y2-t2y5 dydt+t2y4=0   ; y(1)=1

Q: Simplify the expression sin (cos (300)), where the angle is measured in degrees. Do not include the ...

A:

Q: 10. Show that the function f(x, y, z) = 2z³ – 3z(x² + y²) satisfies the Laplace Equation, = 0

A:

Q: 5) lim f(x) x--2

A:

Q: The count of a bacteria in a culture was 5 initially and doubles every 30 minutes. Find the size of ...

A:

Q: + cosx r- 2xy)y' = yly + sinx] ;when x = 0, y = 1 %3D %3D

A:

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region a...

A:

Q: the value of tan-(tan m) where m = radians? If undefined, enter Ø. your answer below:

A: Please refer to the image below

Q: Let f(x) (8 sin r + 9 cos I)tan f'(x) =

A: Topic = Derivative

Q: 24.) The radius r of a circle is increasing at a rate of 4 centimeters per minute. Find the rate of ...

A: Area of the circle , A =πr2 ; where, 'r' is the radius.

Q: 11+11-12=

A:

Q: d²f df (b) +2-+ 5f = 0, f(0) = 1, f(0)=C dr? dt

A:

Q: Show that V is not a subspace of R°: V is the set of all (x, y, z) such that x + y +z = 3

A:

Q: A country's production of solar power, in megawatts, can be modeled by f(1) = 440(1.4) , where t is ...

A: This question is related to differentiation, We will solve it using given information. 

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

A: As we know that, The expression for the length of vector-valued curve is: L=∫abx't2+y't2dt   1). Giv...

Q: 2. SS y' e ř drdy D: x=0, y=l,y= 2

A: Given: I=∫∫Dy2e-xy2dxdy And D: x=0, y=1, y=x2 We know that; ∫eax+bdx=eax+ba+C And ∫a·fxdx=a·∫fxdx, w...

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

A:

Q: Find the distance between (1, 2, 3) and (-1, 3, 4)

A: Consider the points  1,2,3  and   -1,3,4  

Q: A moving truck rental company charges $20.95 to rent a truck, plus $0.62 per mile. Suppose the funct...

A: Given:- A moving truck rental company charges $20.95 to rent a truck, plus 50.62 per mile. Suppose t...

Q: 1. Let y be the part of the curve y =r² running from (-1,1) to (2,4). Calculate ry dr + (x+ y) dy.

A:

Q: Find the derivative of the function. y = cot2(sin ?) y' =

A:

Q: Differentiate. y = In (8x? -7x+8) y':

A:

Q: Evaluate the integral. Show all your work. tan’ x sec xdx 3

A:

Q: ydx + x(Inx - lIny - 1) dy = 0, when x = 1, y = e %3D

A: Given :     ydx+xlnx-lny-1dy=0,        when x = 1 , y = e that means y1=e

Q: integral f theta^2  cos 3(theta)   d theta

A: