A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must contain 5,000 square meters in order to provide enough grass for the herd. No fencing is needed along the river. What dimensions will require the least amount of fencing? *****. %3=

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. (R...

A:

Q: x³eš" dx (Repeated Integration by Parts)

A:

Q: Given f(x, y) = 6x²y – 5xy*. Compute:

A: This question is based on Partial differentiation.

Q: Suppose that ABCD is a parallelogram, and B= (0,b), A = (-1,3), C = (4,4), D = (a,0) What are the va...

A:

Q: a1/ Find the missing term in the following table using interpolation: 2 3 4 y: 3 SI

A:

Q: Average Life Span One reason for the increase in human life span over the years has been the advance...

A:

Q: Given: f (x) = x + 5x + 4 %3D and g(x) = x + 1 Solve for f (2) 8 (1)

A: Solution of question is written in below steps.

Q: et -5 0 1] A = [2 -10 0 2 escribe all solutions of A = 0. = x2 +x3 +x4

A: Here we have to solve the given problem.

Q: The intensity of an earthquake can be measured on the Richter scale according to the following logar...

A:

Q: 1. Which of the following are trigonometric identities? Select all that apply sin e tan 8 = cos e co...

A: Find your answer below 

Q: It is estimated that t years from now, the population of a certain town will be F(t) = 40-{8/(t+2)}....

A:

Q: 15–18 Find the angle between the vectors. (First find an exact expression and then approximate to th...

A:

Q: The radius of a circle is increasing at the rate of 4 cm/s. How fast is the area of the circle chang...

A: Given,           The radius of a circle is increasing at the rate of 4 cm/s. And the radius is 5 cm ...

Q: 3 The name of a straight line that just touches a curve at point A but does not cross the curve at p...

A: As per guidelines we can answer only one question at a time so if you need more answers kindly repos...

Q: Evaluate the definite integral. Use a graphing utility to verify your result. (9 u - 6 du

A: Given query is to eveluate the integral.

Q: Consider the following. f(3) = 9, f(-1) = -11 (a) Write the linear function f such that it has the i...

A:

Q: Find the characteristic equation and fundamental solution set to the di fferentinl equation 4 +4

A:

Q: Determine whether the two given vectors are orthogonal, parallel, or neither. u = 9i – 6j+ 3k, v = –...

A: We will calculate the dot product and the angle  between these vectors to solve this question.

Q: x + 3 if x 1

A:

Q: | cos (5x) cos (3x)dx

A:

Q: Give two other polar coordinate representations of the point, one with r 0. (r, 0) = ( 3, – 2.14 X ...

A:

Q: Q1.Find the general solution of following PDE equation (a) (5z+ R)uz + (7x+ R)u, R (b) (z + R)u, + (...

A:

Q: 8. ye = In(xy) 9. (y- 5)? = 8(x – 3) _10. 2x – xy +y = 0

A: We can solve this as follows:

Q: x sec (3x) tan (3x)dx

A: Find your answer below 

Q: 2. Determine the exact value of f'(2) for f(x) = (2e³ + 3e-6x)5.4,

A:

Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular windo...

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0), (4...

A: [ x-0  y-0  z-0] [4-0  0-0  4-0]      = 0 [-1-0  -1-0  8-0] [x  y  z] [4  0  4]      = 0 [-1  -1  8]...

Q: Consider the following graph. y 10- 5 X -3 -2 -1 2 3 -5 -10 Identify the parent function represented...

A:

Q: Evaluate the definite integral. Use a graphing utility to verify your result. 9. OShow My Work (Opti...

A:

Q: 13. Let a be a constant. State the formula for the nth-degree Taylor polynomial of a continuous func...

A: Let a be a constant. We have to state the formula for the nth-degree Taylor polynomial of a continuo...

Q: kx +5, g(x) ={ 2 (3x+x², x<-2 If the function x2-2 is continious at x=-2, then find the value of k .

A:

Q: Find the angle 0 between the vectors in radians and in degrees. u = 9i + 5j + k v = 5i - 9j (a) radi...

A: In this question, we need to find the angle θ between the given two vectors.

Q: Find f such that f'(x)= 7x +7x-2 and f(0)= 8.

A:

Q: Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2x). (Enter your answe...

A: cos(2θ)+sin2θ=0cos2θ-sin2θ+sin2θ=0cos2θ=0cos2θ=cos2(π2)We know that cos2θ=cos2(α)  ⇒θ=nπ±αThereforec...

Q: Let f(x, y) = xr sin(xy). Find (a) xy cos(xy) (b) y cos(xy) (c) x² cos(xy) (d) -x sin(xy) (e) Some o...

A:

Q: Fill in the blanks xe^x^3 dx+ (y^5 -1) dy= 0. The initial values are x = 0 and y = 0. Substituting t...

A:

Q: secʻø =d¢ /5-sec²4 - sec2ø

A: Dear student in place of x assume phi(ϕ )

Q: For the function below, find (A) f'(x), (B) the partition numbers for f', (C) the critical numbers o...

A: Given query is to find derivative and critical point.

Q: Complete the following tables of values to investigate. Write your answer in the space provided afte...

A: To evaluate the given limit using the tabular method. Let, f(x)=x2-2x+4

Q: 6. f(16) = 63. VX Find f such that f'(x) = %3D %3D

A: Topic = Integration

Q: Directions: Find the extrema of the following function on the given interval, and determine the valu...

A: Since you have posted multiple questions which are not interlinked i can do first question as per ou...

Q: For the same function f(x) and same subintervals as question 1, compute the right-hand sum fo f(x) o...

A: Given interval : [ 0 , 4 ]  subinterval with width of 1  ( 0 , 1 ) , ( 1 , 2 ) , ( 2 , 3 ) , ( 3 , 4...

Q: y" – 2y' + y = -3 – x + x², y(0) = –2, y'(0) = 1. %3D %3D

A: Given: y''-2y'+y=-3-x+x2 ; y0=-2, y'0=1 So, We can also write as; D2-2D+1y=-3-x+x2   The auxiliary e...

Q: Q1/ Find the missing term in the following table using interpolation: 2 3 4 9 81 y: ...

A: The missing term is 

Q: Find the valuU of a and b so that the following funchion is continu ous evrguhere- f6)=Dax+b 3x 41三x...

A:

Q: dx dy 1.65. dt Given y = x. Find when y = 6 and dt %3D dx (Simplify your answer.) %3D dt

A:

Q: = csc2 x + sec x Cos° x ,3 -

A: Here f(x) =cosec^2x +secx- cos^3(x)  

Q: WeXg+x*g²_x*y% show that wxy=Wyx fnd wiy if waflusu),u=メー 2wefluV)u=メーツ V=xy Express the answer inte...

A: As per our guidelines, I can answer maximum one question. Since you have asked for multiple question...

Q: 1 determine whether it converges or whether it diverges. As part of your 6. For the series k3' k=0 s...

A:

Q: Let F(x) = f(x) + g(x)e* + h(x)e2x + C be the antiderivative of G(x) =(x+e*)¯, Determine the value o...

A: It is given that, F(x)=f(x)+g(x)ex+h(x)e2x+C be the antiderivative of G(x)=x+ex2  We have to determi...