Let f(x,y) = 4x2-5y2+x2y3. Find the following partial derivatives: 1. fx 2. fy 3. fxx 4. fyy

Q: 1. Find the domain and derivative of the vector function. (a) r(t) = (t, t², t³) (b) r(t) =i+tan(t)…

A: The given vector functions

Q: Find the distance between points Pr and Pe Pe (5,-4) and Ps (73, 2) P₂

A: Given:Two points To find:distance between the two pointsThe distance between two points  is

Q: Consider the solid obtained by rotating the region bounded by the given curves about the x-axis.…

A: The volume of the solid is 1516π​ [Note :  1516π​≈3.35 , if the answer needed in decimal ⁠]…

Q: (A) find the critical numbers of f, if any (B) find the open intervals on which the function is…

A:

Q: # 7-9: Multiple Choice. Choose the best answer 4-6-10 15 57 153,is (x-3) a factor? 5 19 51 143 7.…

A: 7). B. No 8).A. (x - 5) 9). FalseExplanation:7). - If the remainder is equal to 0, then it is a…

Q: 3. Use synthetic division to find the quotient of f(x) = 6x²-3x³-8x+12 by x-2. Quotient =

A: Answer:    Quotient=6x3+9x2+18x+28Explanation:

Q: Consider the function on the interval (0, 2pi). (A) find the open intervals on which the function is…

A:

Q: Solve the initial value problem below using the method of Laplace trans.orms. 6ty' - ty' + y = 2,…

A: The given differential equation

Q: 1. Set up the integral to find the length of one cycle of the sine curve (y = sinx, where x is…

A:

Q: The magnitude and direction of two forces acting on an object are 50 ​pounds, S61degrees°​E,and…

A: The objective of this question is to find the magnitude and direction of the resultant force when…

Q: Find the indicated partial derivative. fyxy(x, y)= f(x, y) = sin(3x + 2y); fyxy

A:

Q: Q/find the integral (After integration with the substitution X = 25 in U 4√2 3 2 (4- x²)³/2 dx -2

A: The given integral is

Q: Please don't provide handwritten solution ....

A: t = 3.745 daysExplanation:We are given a function:P(t) = 100/1+20e-0..8t Inflection point can be…

Q: A corporation has a continuous compounded bank account with 2.7% annual interest. The board of…

A: For compounded continuously rate of interest amount at time ttime in yearsinitial amount

Q: Use Gauss-Jordan elimination to determine A for the matrix given below. 1 31 [] Lo 2 7, A= 1 2 4

A:

Q: Instructions can be found in the image attached

A: (a).  f(x)=x100g(x)=(x+3)  (b).  f(x)=x1​g(x)=x3−1     Explanation:

Q: If 3y² + x² = −3 − 3x then find dy in terms of x and y. modta If 4x² + 2 = 3y - 5y² then find in…

A:

Q: Consider the function z = f(x, y), where x = r cos 0 and y Əz дz a) Use the Chain Rule to find and…

A:

Q: In Exercises 1-6, find the general solution of the differential equation specified. 3 dy 1. = dt 3.…

A:

Q: Differentiate f(x) = (5x² - 2x + 3) (3x³ + 8x² − 5x + 1) - Show all work.

A:

Q: The rational expression ( 8x² + 3x)/((x² + 1)(x² + 4)) has partial fractions expansion Ax+ B Cx + D…

A: The rational expression  has partial fractions expansion .To find the value of A.

Q: MY NOTES nction, in dollars, for the food truck Crepes by Monice is given by the function P(x) =…

A:

Q: a 2 (x-1)² + (y +3) ² = 16 Make a graph, Use at least 4 points 7 Report domain and range. 2 Solve…

A:

Q: Find the volume of the parallelepiped determined a=(2,5,-1), b = (0,3,47₁ C = (2,4,1) by the vectors

A: Given:a parallelopiped that is determined by vectors-To find:The volume of parallelopiped

Q: Compute the indicated quantity. (Round your answer to the nearest cent.) An investment earns 5%…

A: An investment earns 5% interest, compounded monthly, and is worth $5,000after 10 years. To find its…

Q: - Find the area of a triangle PQR, where P = (1, - 2, 3), Q = (1, — 4, 1), an R = (1, 6, 0)

A: we need to find out the area of the triangle whose vertices are given.

Q: y = tan 8' [0, 2]

A:

Q: Write in summary what you know about the first and second fundamental theorems of calculus.…

A: GivenWrite in summary what you know about the first and second fundamental theorems of calculus. The…

Q: Makya was conducting a physics experiment. He rolled a ball down a ramp and calculated the distance…

A:

Q: The position function of an object is given by 5(1) - (2² − 1 ) ( ¦ + 3). distance, s, is in metres.…

A: The position function of an object is given by , where time, t, is in seconds and distance, s, is in…

Q: The senior class is having a fundraiser to help pay for the senior trip. Selling a box of chocolates…

A: The senior class is having a fundraiser to help pay for the trip. Selling a box of chocolates yields…

Q: Suppose an arrow is shot upward on the moon with a velocity of 54 m/s, then its height in meters…

A: An arrow is shot upward on the moon with a velocity of The height  at time  is  .We have to find the…

Q: K Find the volume of the solid generated by revolving the region bounded by y=- sin x and y=0, from…

A:

Q: nd the area of the region enclosed by the curve y = x² +2, the x-axis and the lines x = 0 dx=1.…

A:

Q: Practice

A: The objective of this question is to find the reference angles for the given angles in standard…

Q: Find the zero-state response yzs(t) of a system having impulse response h(t) = u(t) using the…

A: The objective of this question is to find the zero-state response of a system using the convolution…

Q: The table below shows values of a force function f(x), where x is measured in meters and f(x) in…

A:

Q: Find the roots m₁, m₂ of the characteristic equation of y" + 8y' + 6y = 0.

A:

Q: Evaluate the following integral. 16 0 1 + √√x dx

A: I=∫0161+xdxI=∫016x1+xxdxSubstitute 1+x=u2

Q: (a) Find the approximations T10 and M10 for + T10 = M10 = 27 e¹/x, |ET| ≤ IEMI ≤ dx. (Round your…

A:

Q: Let h(x) =tan(3x + 5). Then h' (4) is 3 sec² (17) 2 and h''(4) is

A:

Q: Evaluate the following integral using integration by parts. In x 19 X dx Use the integration by…

A:

Q: K Find the volume of the solid generated by revolving the region bounded by y = cos x and y = 0,…

A:

Q: (a) The graph in the figure given below is made of line segments joined end to end. At which points…

A:

Q: find the function interpretation of the series Σn_1 n x³n

A: To find the function interpretation of the following series.

Q: Given the equation y = 5 sin(3x + 18) + 2

A: we need to find out the horizontal shift.

Q: Compute the indicated quantity. (Round your answer to the nearest cent.) A $5,000 investment earns…

A:

Q: A radioactive element has a half-life of ln (2) weeks. If e³ tons are present at a given time, how…

A:

Q: Eliminate the parameter & to fcys for - form x= [2(t) = 51² | gets = 2 + 2t find a Cartesian…

A: To eliminate the parameter t to find a Cartesian equation in the form  for the parametric equations.

Q: Find the general solution of the given equation on (0, ∞). x²y"-xy-3y=9x² Answer Format Note: Your…

A: We use the cauchy-euler differential equation method and suitable methods to solve higher order non…