Find the equations of the tangent line and normal line to the curve y = x3- 2x 1+ at the point (0, 1). Draw the curve, the tangent line, and the normal line.

Q: 18. The points (3, 0), (x, 0). (x, ). | are the vertices of a rectangle, where x 2 3, as shown in th...

A:

Q: (1+y² ;+ cosx – 2xy) y' = yly + sinx] ;when x = 0, y = 1 %3D

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

Q: Find a parametric equation for the line through the point (6,4,1) and in the direction of ai +bj +ck...

A: P

Q: dx Evaluate | x² + 2x +5 [(x+1)/] a. arctan +C arctan +C 4 [(x+1), |(x+1), с. arctan -C d. arctan +C

A: Let I is the value of given indefinite Integration.

Q: 1 2) Evaluate n(n + 1)(n + 2) n=1 A B + n + 1 1 Hint: Find constants A, B and C such that п(п + 1)(п...

A: We are asked evaluate the given

Q: The radius and height of a right cylinder are measured at 2.4m and 1.5m respectively with a maximum ...

A: I am attaching image so that you understand each and every step.  

Q: The monthly revenue R (in dollars) of a telephone polling service is related to the number r of comp...

A:

Q: 3. Using the steps in solving for homogeneous differential equations, evaluate: dy x² + 2y² dx ху

A:

Q: 1. Use the graph below to find the integer value(s) of x where the limit does not equal a finite val...

A: From the figure we can see that as x approches to 3 than function value goes to infinite.

Q: 5.2.1. Evaluate the Frobenius matrix norm for each matrix below. (0 1 0 B= |0 0 1 1 0 4 -2 4. A= (3)...

A:

Q: Find y''of 4cos(x/2)+e^-2x

A:

Q: sinx dx 5+ cor?x

A:

Q: Which of the following function/s is/are homogeneous? a) x3+x2y+x3 b) lnx-lny-ex/y c) ex d) 1/ (...

A:

Q: Determine whether the series converges. 17 19k k=1 The series

A: ∑k=1∞1719k consider f(x)=1719kuse integral testlima→∞∫1a1719xdxThen∫1a1719xdx=1719∫1a1xdx1719(ln(a)-...

Q: S2x+1, x54 x² +12, x>4 3. Is the function f(x) = continuous?

A: topic - continuity of a function

Q: 6. lim 4x(x+2) 77

A: Let's find. 

Q: - (x,y) =- 5х— 4y fo х— 4у

A:

Q: da formula in each part below for the number of zebra m ay as a function of the number of years sinc...

A: We are asked to find the linear and exponential growth

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. cos?x sin x dy + (y cos³x – 1) dx = 0

A:

Q: Find an equation of the tangent line to the curve y =√x  at the given point (4,2) Use the definitio...

A: The expression for the equation of the tangent line is: y-y1=mx-x1 Where, 'm' is the slope of the ta...

Q: Question 2 The trough below is full of water. Recall that water has weight density 62.4 lb/ft³. 2 ft...

A:

Q: Evaluate the DE y²/x(x+y) = -y'

A: Given

Q: The length function for the curve yz ln(sinx) arc stacting point (,0) cwith

A: The arc-length of the curve y=f(x), a≤x≤b is given by: L=∫ab1+(f'(x))2dx

Q: (x+1)dy = (2xe* - xy - 2y)dx 90° %3D 381 -IS3

A: First we find integrating factor then find particular integral. 

Q: Find an equation of the surface of revolution generated by revolving the plane curve about the indic...

A:

Q: 5. Let L and Q be lines in R³ given by the equations below. Line L:y +t-3 日- 3 Line Q : -13 +r |3 13...

A:

Q: Compute the gradient of f(x, y) = 7 – 6x² – y" and evaluate it at the point (2, – 4). The gradient i...

A:

Q: 3. f(x) = v2 – x at x = 1

A: As per our guideline we are supposed to answer only one question you can repost other questions in n...

Q: 4. A ball's position, in meters, as it travels every second is represented by the position function ...

A: The objective of the question is determine the velocity of the ball after 5 seconds.

Q: sin xdx 5t car? x

A:

Q: Find the inverse function of f. f(x) = 5 + 7x

A:

Q: Evaluate: mod 13= -19 div 7

A: Find your answer below 

Q: The number of women graduating from 4-yr colleges in a particular country grew from 1930, when 48,85...

A:

Q: 3.b) Eliminate the Ar bitrary Constants in the equation B.a) Eliminate the Arbitrary Conatanta in th...

A: Using differential equations. To eliminate arbitrary constant 1.differentiate given equation as many...

Q: Separate the variables and evaluate the DE: cosx/dx + 1/ydy = 0

A:

Q: Express the repeating decimal as a fraction. 0.2513 23 23 23.

A: Let the given number be x

Q: Laplace Evaluate the following. Differential Equation 1. L{e* + cos 6t – est cos 6t} ,3t -

A:

Q: (a) At what rate (in ft/s) is his distance from second base decreasing when he is halfway to first b...

A: Follow the procedure given below.

Q: c.rechudu = 2 tan -I eu tc C. %3D

A:

Q: 2 Sí (8x3 + 3x?) dx

A:

Q: 1 2. If f(x) = and g(x) = , then lim [f(x) - g(x)] equals х2 -х X-1 x→1+ а. -1 b. 1 C. -00 d. 0

A:

Q: Determine the value of C for the given first order differential equation when x-2 and y=1. e*+y = e2...

A:

Q: Find the value of 6dx x2 + 1

A: Use simple integrations concept. 

Q: 19 please

A:

Q: 1. The strength of a rectangular beam varies as the product of the width and the square of the depth...

A:

Q: Determine if the given function is continuous and differentiable at the indicated values of x. Write...

A:

Q: 34. y = -x2 + 6x – 8, y = 0; about the x-axis %3D

A:

Q: Let R be a region bounded by the curves y = x² and y = 4x – x². Evalua /| (a + y)dA. R

A:

Q: The ratio of working-age population to the elderly in the United States (including projections after...

A: For the given function

Q: Use the limit comparison test to determine whether the series converges. 00 4 5k + 5 k=1

A: Given that: ∑k=1∞45k+5