af Find a d () + In (). of the function f(x,y) = arccot and ду

Q: Find the points on the ellipse 5x2 + y2 = 5 that are farthest away from the point (1, 0). smaller…

A:

Q: Eind the conorel ond norticulor solution of the linoor first order oguot

A: Given query is to find the solution of the differential equation.

Q: 4. dx + (x – y + 2)²dy = 0

A:

Q: Sa413 - 3x5/2) dx x4/3, 5)

A:

Q: Evaluate the definite integral. (Use symbolic notation and fractions where needed.) 12 dt 3t +4

A:

Q: x2 1. Let f(x) = 3Vx² – 1 and g(x) x4 – 81 (a) Determine the domain of f and g. (b) Compute gof and…

A: Find domain.  According to guidelines we solve only first question.

Q: Complete the table. (Round your answers to four decimal places.) x-4 lim x-4 x2 - 5x + 4 3.9 3.99…

A: We have to estimate the given limit.

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A: f(t) = -16t2 +385t +8 avg height from t = 5 to9.7 second f(9.7) =-16(9.7)2 +385(9.7) +8…

Q: 2. Differentiate the following function: y = Jo tan 2x Hs dt. 1+t3

A:

Q: Area inside the circle r = 3 cos 0 and outside the cardiod r = 1+ cos 0

A: The region which is inside the circle r=3 cos θ and outside the cardioid r=1+cos θ is:

Q: (a) Find the y intercept(s). (Enter your answers as a comma-separated list.) y = 675 (b) Find the x…

A:

Q: A ball is dropped from a 200 foot cliff. If gravity is 32 ft/sec2, find the position function of the…

A: Given :- Initial height of ball (S0)= 200 feet Accelaration due to gravity(g) = 32 feet/sec2…

Q: 2 4 -1 1 0 05 -2 3 2 1 1. Let A B= and C 4 0 Let a = 4 -2 -6 5 -2 2 and 3 =. Compute the following:…

A:

Q: Calculate the value of the integral dx to show that it is convergent. Then, use this result and the…

A: The given integral,∫1∞1x2dx and ∫1∞x2x4+x2+1dx

Q: Listen Use the Ratio Test to determine if the series converges or diverges. ne-Sn n=1 Converges…

A:

Q: (2x – 3y +1)dx – (3x + 2y – 4)dy = 0

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution of the…

Q: 1. State the domain and range of {(x, y)|y = + 3}.

A:

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

A:

Q: x = -Jy from y = 1 to y = 4

A: The objective of the question is determine the area bounded by the given function.

Q: Find the limit. Use L'Hospital's Rule where appropriate.If there is a more elementary method,…

A:

Q: You will create an estimate in order to assist your boss in gaining the job! The equation that is…

A: As per bartleby guidelines we are supposed to answer only 3 subparts of a question. This question…

Q: Find the area of the triangle with vertices P(1,5, –6), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the…

A: Here, PQ=Q-P=-1,-5,6PR=R-P=3-1,4-5,1-(-6)=2,-1,7

Q: Find the value of x if mz1 = x mz2 = 2x – 10 mz3 = 2x + 10

A:

Q: Refer to the graph in the textbook. If x screwdrivers produced in thousands, and y represents the…

A: The total cost of producing 20 thousands of screwdrivers is 20,000 dollars

Q: Let a = ci + jand b = 9i + 54j. Find c so that a and b are orthogonal. c = i

A:

Q: During the summer months Terry makes and sells necklaces on the beach. Last summer she sold the…

A:

Q: -4x2 f(r): r(r+8)(r – 2) (x+2)3 8(7r - 4) (x+2)4 with f'(r) = and f"(x): (r + 2)2 ' a. Find the…

A:

Q: Find the dimensions of a rectangle (in m) with area 216 m² whose perimeter is as small as possible.…

A:

Q: Apply region based segmentation for the sequence: F={7,5,9,1,10,2,9,12,4,11,3,17,16,19,15}…

A:

Q: 4 (2+ VT)5 5. Calculate 0.

A:

Q: sin t 11) dt (5 + cos t)6 A) (5 + cos 5 + C B) (5 + cos t)5 +C 1 7(5 + cos t)7 D) 5(5 + cos + C

A:

Q: Tutorial Exercise Find the sum. 4(k + 1)²(k – 4) k = 0 Step 1 Recall the definition of summation…

A:

Q: af when r = 2, t =- 1 of the function ar 4. Use the Chain Rule to find- f(x, y, z) = e3xy² cos 2xyz…

A: This is a problem related to chain rule for differentiation. Based on the formula we will find out…

Q: 7. Х Arcsec (2х) dx 3 (4x2 – 1)7

A: The objective of the question is evaluate the indefinite integral.

Q: 12) (sin (4x - 9) dx

A: Given function : sin (4x -9) To find : Integral of the function.

Q: Given that Vf (5, -4) = 8 i – 7j, find the directional derivative of the function f at the point (5,…

A:

Q: to find thę coordinates of the absolute extremum (absolu maximum and/or absolute minimum) for the…

A: f(x)=-3x4+12x+2f'(x)=-12x2+12f'(x)=0-12x2+12=012x2=12x2=1x=±1Critical points ;…

Q: A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No…

A: Let x and y be the dimension of the farm. x be the side along the barn. y is the side where cost is…

Q: Evaluate. (Be sure to check by differentiating!) 1 dx, x# - 3 + 3x 1 dx = 9+ 3x (Type an exact…

A:

Q: Solve the system of linear equations and check any solution algebraically. 5x - 3y + 2z = 3 2x + 4y…

A:

Q: Let a = ci +jand b 7i + 56j. Find c so that a and b are orthogonal. %3D %D C =

A:

Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

A:

Q: Find the fifth term of the geometric sequence from the given information. Express the term as an…

A:

Q: 5x-20 50

A:

Q: Consicler the functiun belou 2. fexy)=x°ewy %3D a) evaluate f(8,0) b) fincd the clonain of F ) Find…

A:

Q: Using the Principle of Inclusion-Exclusion, determine the number of binary strings of length…

A:

Q: Use the Chain Rule to find- af when r = 2, t =-1 of the function ar f(x, y, z) = e3xyz cos 2xyz ; x…

A:

Q: Find the directional derivative of f at Pin the direction of a. f(x, y) = 6x*y²; P(1, 4); a = 12 i –…

A:

Q: Find parametric equations of the line through (-3,0, 3) that is parallel to 5i– 7j+k.

A: Recall:  The parametric equations of the line through (x0,y0,z0) that is parallel to a i+b j+c k is…

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: