3.) Find the arc length of the curve where 0 ≤ x ≤ 3 y = 1 . J|M + 4 x 3 داد at [013] defined by y=1+ J|M 4 X 3 -(~

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) Tim (√²+1-7) t 0

A:

Q: Find y' for (ry)”/” – 64 at the point (4,4). (wy)³/2 C At (4, 4), g' DE

A:

Q: (e) What are the co-ordinates of the relative maximum point? (  ,  ) (f) What are the co-ordinates…

A: (e) To find the co-ordinates of the relative maximum point. (f) To find the co-ordinates of the…

Q: on a family vacation amy's dad drove the car at a constant speed and traveled 585 miles in 13 hours.…

A: Given: distance= 545 miles time = 13 hours  New distance= 810

Q: Find the derivative of the function using the definition of derivative. y = √x y'

A: Here we have to find the derivative.

Q: Find equations of the tangent line and normal line to the given curve at the specified point. y = 8x…

A:

Q: Question 2 Classify each differential equations as separable, linear, homogeneous or Bernoulli…

A: Given differential equation dydx = 7y-x

Q: Classify each differential equation as separable, linear, homogeneous, or bernoulli equation. Some…

A: Given differential equation dydx = y3 + yx3 + x

Q: A manufacturer wants to design an open-top box having a square base and a surface area of 150 square…

A:

Q: Classify each differential equations as separable, linear, homogeneous, or Bernoulli equations. Some…

A: Given differential equation:- xdx+ydy=0

Q: Evaluate the integral. *π/2 3 3 cot³(x) dx

A:

Q: dy 3. Solve the IVP: 2x²y dx − 1 = x¹, y(1) = 1. You must give your solution in explicit form. dx

A:

Q: The function f(x)=√5-x is continuous at (-∞, 5]. True False

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 14/12 + 121 12 9 X lim…

A:

Q: Graph the given equation. 2x - 5y = 30

A: This is a problem related to linear equation. Please follow the procedure given below.

Q: Find the length of the curve x = 3 + 1 from y = 1 to y = 2.

A:

Q: (9) (a) Find the point P on the plane ry+2=-3 that is closest to the point Q(2, 3, 4). Is the point…

A:

Q: 3. √ √ 9. 13 dr ²+6x +34 dz

A:

Q: Find e > 0 such that the area of the region enclosed by the parabolas y = x² - c² and y = c² - x² is…

A: given y=x2-c2and y=c2-x2given area is 270

Q: Find the discontinuity of the given graph

A: This is a problem related to continuing of the function. Please follow the procedure given below.

Q: 1. Find th directional derivative of f(x, y) = x²z+y³z² — xyz at the point (1,-1,0) in the direction…

A: To find directional derivative of given function.

Q: How would I sketch the level curves of the plane segment 2x+y+2z=8?

A:

Q: This question makes an important point: the maximum point of a function may not always be found by…

A:

Q: 17. The total worldwide box-office receipts for a long running blockbuster movie are approximately…

A:

Q: How would I find the equation of the line through points (1,2,0) and (1,4,1) in parametric vector…

A:

Q: For j(x)=(−2x2−2)(−3x2+2x), find j′(−1) by applying the product rule.

A:

Q: lim x sin() = 2-0 A) 1 O A B с E B) 0 C) ∞ D) -1 E) None of these

A:

Q: If g(0) g'(0) g"(0) = = sin(0) Ө 7 find g'(0) and g "(0). 0 cos (0) - sin (0) 0² (sin(0) + 0 cos (0)…

A:

Q: Identify the open intervals where the function /(x)=x²-3x4 is increasing or decreasing. A increasing…

A: On solving this we will get

Q: Calculate $F.. F. dr for a path going from (0,0,0) to (1,0,0) to (0,1,0) back to (0,0,0) for…

A:

Q: (8) Are the following vector functions (a) r(t) (4 sin 4t, 4 cos 4t) (b) r(t)-(4 six ().4cce()) are…

A: We have to solve given Questions.

Q: Calculate the integral below by partial fractions and by using the indicated substitution. Be sure…

A:

Q: Question 2 Classify each differential equations as separable, linear, homogeneous or Bernoulli…

A:

Q: Evaluate the integral. [ dx (x² - 1)3/2

A: The given integration is: ∫261x2-132dx  To evaluate the integration.

Q: lim x²-x-6 2 =→3-x²-7x + 12 ||

A:

Q: Let the function f be defined by tan(x) -1 sec(x) (a) Use the Quotient Rule to differentiate the…

A:

Q: The terminal ray of ZA passes through the point (-4, — 6). - ZA is drawn in standard position. What…

A:

Q: What's the derivative of y=(3 tan t)/(2 + 2 sec t)

A: y=3tant2+2sectd dt(tant)=sec2td dt(sect)=sec(t)tan(t)d dx(ab)=b×dadx-a×dbdxb2

Q: 4. (x + y)dx + (2x - y)dy = 0.

A:

Q: Find the derivative of the function using the definition of derivative. g(x) = = √9+ 2x g'(x) =…

A:

Q: Express the repeating decimal as a fraction. 0.2222...

A:

Q: Question 3 Determine the open intervals on which the graph of the function y = 3x - tan(2x). · |-7.…

A:

Q: ose that f(x, y) = x³y². The directional derivative of f(x, y) in the directional (-3, 3) and at the…

A: Directional derivative of f along u is given by  Grad f . u/|u|

Q: Find by implicit differentiation. dy dx dy dx || 9 sin(x) + cos(y) = sin(x) cos(y) 9 cos(x) sin(y) +…

A:

Q: Find the indefinite integral using the substitution x = 5 sin(0). (Use C for the constant of…

A:

Q: Suppose that an object in motion has position function s(t) = t² cos(5t) where t is the number of…

A:

Q: 7.f(x) = 10x4 - 3x³ + 8x² - 4x - 8 8.f(x) = 4x5 + 3x² + 9x³ − 8x² + 16x - 24

A: Hi this is your answer.

Q: Find the length of the unknown side of each triangle. Give the exact length and an approximate…

A:

Q: Compute at 0 = 0. de [tan (20) + 04]

A: here we have to find the differentiation.

Q: Suppose that f(5) = 2, f '(5) = 4, g(5) = -5, and g'(5) = 6. Find the following values. (a) (fg)'(5)…

A: given  f(5)=2f'(5)=4g(5)=-5g'(5)=6(a) frm product rule(fg)'=fg'+gf'