6. Fencing a Field Consider the following problem: A farmer has 2400 ft of fencing and wants to fence off a rectangular field that borders a straight river. He does not need a fence along the river. (See the picture) a) Experiment with the problem by drawing a few examples illustrating the situation. Also please explain steps thank you!

Q: lim X118 √x²–2x+3 x+7

A: Replace x with -x and then go ahead because it will make easier to find the limit at +infinite

Q: Tutorial Exercise Write the equation of the line that passes through the given point and has the…

A:

Q: Let f(x)=(x+x^-1)^2. Find f'(5).

A:

Q: Question 7 For the given graph of the function f, on the left, sketch the graph of of f' on the…

A:

Q: Starting from the point (-3,-4, -1) reparametrize the curve in terms of arclength. r (t (s)) = i+ j+…

A:

Q: Find the domain of the function f(x) = 1 over the square root x-10

A: We need to find out the domain for the given function.

Q: Find the value(s) of k that makes the given function continuous. f(x) 1 √kx 3x + 15 if 0 < x < 3 if…

A:

Q: lim x to infinity (square root 4x^2+x-2x)

A:

Q: y = x ln(x + √1 + x² ) − (√1 + x²

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 8 lim (x, y) (0, 0) x 3 xy…

A:

Q: / Suppose That The position Vector in = brî + (ct 9t²) îrok where be Vectors (₁) be constant. 9=…

A:

Q: Solve the following differential equations. dy 9. 10. 11. dx dy dx dy — dx = x³ + 2x MIX 3 == = 4…

A:

Q: 2. Suppose that A and B are square matrices, not necessarily of the same dimension. Show that A 0…

A: Given that A and B are square matrices. Also dim(A) and dim(B) may or may not be equal

Q: Question Find the points at which the following function is discontinuous. f(x) = 5x+4 -3x²-2 -7x² +…

A:

Q: Assuming f and g are differentiable functions, determine f'(2) = -7, g(2) = 8, and g' (2) = 4. (A)…

A: Given that f and  g are differentiable functions and f2=5, f'2=-7, g2=8 and g'2=4 We have to find…

Q: Use the formula below to find the instantaneous rate of change of the function at the given x-value.…

A:

Q: In(x + y) = tan -1 X Y

A: Topic - implicit differentiation we are given, ln(x+y)=tan-1xyWe know…

Q: Question Find the average rate of change of the function f(x) = -3x² - 4x + 2 between x = -1 and x =…

A: The average rate of change of a function over an interval x=a to x=b is the ratio of change in…

Q: Challenge #4: Sketch the DERIVATIVE of the graph shown here. T -8 √ 8 S 4 -4 4 K 8

A: see below the answer

Q: Find Əx Select one: O a. O b. if Sxy= 3x +y10 O C 3-8y 10y⁹ - 8x 8x-3 10x 8y-9x 10

A: The given equation is; 8xy=3x+y10.

Q: Given the functions: m(x) = x+3; n(x)=x3 - 4; p(x)= 9x - 5. Evaluate (m ∘ (n-p))(3).

A:

Q: ind the indefinite integral. (Note: Solve by the simplest method-not all require integration by…

A:

Q: Te the position vector Fees - bsinut î+ bcoswt} +ck where (W) is the angular Velocity and b.c. are…

A:

Q: 4. 5. cy² = x² + y x = A sin(wt + ß); w a parameter, not to be eliminated

A:

Q: Find the equation of the tangent line to y = 9e* at x = 2. (Use symbolic notation and fractions…

A:

Q: f and g are continuous functions with f(3) = 5 and lim[2f(x) – g(x)] = 4, find x-3 g(3). g(3): =

A:

Q: 1. For the function y = 5x³ - 4x a. Determine the average rate of change between x₁= 3 and x₂ = 5.…

A: Here we have to find average rate and instantaneous rate of change.

Q: Write the slope-intercept form of the equation of the line that has the given slope and y-intercept.…

A:

Q: If y = tan ¹(x³ + 14x), then 2 Əx

A:

Q: Use the Power Rule to compute the derivative. (Use symbolic notation and fractions where needed.) dt…

A:

Q: Minimizing a SUM Find two positive numbers whose sum is 100 and the sum of whose squares is a…

A:

Q: A ball is thrown upward from the roof of a school, 16 m high, with an initial velocity of 20 m/s.…

A: Since you have posted multiple subparts question in this question so i have solved the first three…

Q: Evaluate √ ²2x² -8 ²³√x² dx indefinite integral

A:

Q: 5. Find a parameterization for the intersection of a) the cylinder x² + y² = 9 and the plane z = 2…

A: Given a. The cylinder x2+y2=9 and the plane z=2 b. The paraboloid z=x2+y2 and the plane z=4y

Q: Given the function f(x) = (x² − 9) (x² + 9), the number of horizontal tangents of f is

A: The given function is fx=x2-9x2+9 We have to find number of horizontal tangent line for fx

Q: 5) The equations r² + y²s + yt² - 13 and y² + x²s + rt² = 9 define s and t as implicit Əs functions…

A:

Q: f(t) = 18 h(t) = -2t Evaluate. f(h(-5))=[ Show Calculator Stuck? Review related articles/videos or…

A: Topic = Functions

Q: 1/271/20 Evaluate cos5 (0) de. Write your answer as a reduced fraction.

A:

Q: Vilken av följande matriser uppfyller att determinantens halva absolutbelopp beräknar arean av…

A:

Q: The slope of the tangent line to f(x) = cos(x) sin(x) at x = ㅠ 2 5

A:

Q: Simplify 3π2 sinh (πx) - π2 cosh (πx) - 3 sinh (πx) + cosh (πx) = 0 on the interval (0,1).

A:

Q: Find the indicated derivative. f'(8) = If f(x) = 122. Need Help? X Read It 48 F find f'(8).

A:

Q: 5. Find a parameterization for the intersection of a) the cylinder x² + y² = 9 and the plane z = = 2

A:

Q: Determine whether the following pair of equations represents parallel lines, perpendicular lines, or…

A:

Q: Total cost. A total-cost function is given by C(x)=2000(x2+2)1/3+700 where C(x) is the total cost,…

A:

Q: 5. Prove that x + y ≤ x − y + x + y for all x, y € R. Hint: Use the triangle inequality.

A:

Q: Q3/ Solve the following second-order differential equations: three) 1- y"-y-2y = e³x

A: Note:- These are multiple questions and accroding to company guideline we can do maximum 1 question…

Q: du Q2/ Find əx at (x, y, z) = (²) for u = eab sin-¹ q where q = sinx, a = z²lny, b = Hint : sin…

A:

Q: ( if The vector is À = 21+ ai k - Find The value of (a). perpendicular to the vector B. where. BE4i…

A:

Q: EXERCISES 1.5 Is the function, whose graph is drawn in Fig. 7. continuous at the The following…

A: From the given graph, we have to find the graph is differentiable or not at the points x=0 and x=3