VE-Vyt1 Let f : ACR² →→ R be given by f(x, y) I-y-1 Write, if any, the limit below to 4 decimal places. If the limit does not exist, write 2021 as an answer. lim(2,9)→(17+1,17) f(x, y) =

Q: Find the general solution to y = -e*y² + y +e²

A: Given first order differential equation is solved by using integrating factor.

Q: Which of the following is/are signified by lim f(x) = 0? | The value of x goes out to infinity, when...

A: To find what it signifies

Q: Given f(x)=−3x^2−x+15, find f′(−3) using the definition of a derivative

A: We have given a function f(x) First we find f'(x) by using the definition of derivatives.

Q: If {xn} is a bounded sequence on R. Prove: lim n→+∞

A: Given  sequence xn is bounded  we want  to show that  limn→∞xnn=0

Q: The daily sales S (in thousands of dollars) that are attributed to an advertising campaign are given...

A:

Q: y = tx2 + tx dy Find dx dy dx + 2tx * dy Find dt dy dt II

A: Given that y=tx2+t4x We have to find dydx  and dydt dydx is the derivative of y with respect to x dy...

Q: The exam has 14 questions, and the total number of marks for the exam is 100. In how many ways can t...

A:

Q: Consider the function given by z-y+2/7–2/9 se r+ y, x>0, y> 0 f(r, y) = k(x), se ¤ = Y n the express...

A: function is continuous

Q: Consider the graph of the function f(x) shown below. List any x-values at which f is not continuous....

A:

Q: 3. Given r(t) = 12ti + 5cos t j + 5 sin t k , find the unit binormal vector and torsion.

A: Given that: r(t)=12ti+5cost.j+5sint.k

Q: For the function whose graph is given, state the value of each quantity, if it exists. If it does no...

A:

Q: The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled...

A: Given that: D(t)=4sin πt4+9π4+3

Q: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = 4x³.

A:

Q: Convert the following number in the indicated base. 6701 to base 15

A: Divide the number repeatedly by 15 until the quotient becomes 0. When 6701 is divided by 15, the qu...

Q: Find the derivative of the function f(x), below. It may be to your advantage to simplify first. f(x)...

A: The detailed solution is given below Thank you 

Q: 24 - dx /3- 4x (х + 1) 3.

A: Given that:                        

Q: Convert 7383 to a numeral in base 4. 7383 = D %3D 14

A: Topic:- algebra

Q: Vx² – 9 lim x→-∞ 2x – 6

A:

Q: 24) Using Product Rule (fg)'=f' g+fg', find (x cos x) %3D A) cos x - x sin x B) sin x + x co X C) si...

A: Given that: 24. (xcosx)'25. 4x100+4x   NOTE: Q.21 is not visible. Kindly upload completely question ...

Q: Solve the separable equation using the integral factor  y⁴ y¹ + y¹ + x² + 1 = 0

A: Here, the given differential equation is: y4y'+y'+x4+1=0⇒y'(y4+1)=-(x4+1)⇒(y4+1)dydx=-(x4+1)⇒(y4+1)d...

Q: C. Find the slope and the equation of the tangent line to the curve 1) у 3 2x? - Зх + 1 at (-1,6) 2....

A: Given that: 1. y=2x2-3x+1      at (-1, 6)2. y=x2+x+1           at (-2, 3)3. y=3x2-x+1      at (1, 3)...

Q: Find an equation of the plane containing the point P(2,1, –1) and having the normal vector N = -î+3 ...

A:

Q: Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direct...

A:

Q: z = x² – y² Use this equation 1. Write the equations for xz- and yz-traces. 2. Plot (rough) the xz- ...

A:

Q: A farmer has 1700 m of fencing and wishes to enclose a rectangular area and then divide it into 5 co...

A: A farmer has 1700 m of fencing and wishes to enclose a rectangular area and then divide it into 5 co...

Q: The given two-parameter family is a solution of the indicated differential equation on the interval ...

A:

Q: (b) Use the following formulas to set up two integrals for the arc length from (0, 0) to (1, 1). Obs...

A:

Q: (a) Estimate the area under the curve across the given domain with the "Trapezoidal Rule" using thre...

A: The integral to be evaluated using Trapezoidal rule is ∫x=-2x=+22x3+3x2-7x+3 dx. The trapezoidal rul...

Q: (3 +x if x < -1 if -1 sx< 1. (2 - x if x 2 1 Let f(x) = {x2 Sketch the graph of f. y y 3 -3 -2 -1 1 ...

A:

Q: find the maximum or minimum value of the function  g(x)= 100x^2-1100x

A: The second derivative test  Let f(x)  be the given function and c be the critical point of f. If f"...

Q: Determine the point on the curve at which the slope is 18. r³ - 9x – y = 0

A:

Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in mete...

A:

Q: Find the points on the curve y = 2x + 3x2 - 12x + 7 where the tangent line is horizontal. (х, у) %3D...

A:

Q: Evaluate the following integrals using “Integration by Substitution”.

A:  

Q: Given the following table, give the best estimate for f'(9)- f(9) 6. 12 15 f(x) 37 42 48 64 23 8. Th...

A:

Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

A:

Q: Some values for the function f(x, y) are given in the table below. x\y -3 -2 -1 1 3 7 6. 1 4 -4.1 2 ...

A:

Q: x + 5 ½ = 20 Find x.

A: Given              x + 5^(1/2) =20

Q: Determine convergence or divergence

A: Given that: ∑n=2∞1n(n-1)

Q: Solve the differential equation: y?sin(t)=-y'

A:

Q: Let f(a) = V5z + 2x + 5 f'(x) = [ f'(1)

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: cos4 cos* x

A: Follow the procedure given below.

Q: 0.5 COS T - In(4 sin z) dz. J0.1

A:

Q: Compute the surface area of revolution about the x-axis over the interval [0, r] for y = 3 sin(x). (...

A: We need to find surface area.

Q: 4 Find the arc length of y = (**) + 2(x+3)? over [1,4]. %3D (Use symbolic notation and fractions whe...

A: Here we have to find the arc length of the given function.

Q: Solve the following initial value problem and present its particular solution: y" + y' + 0.25y = 0, ...

A: The given initial value problem is: y''+y'+0.25y=0 ;         y(0)=3,    y'(0)=-3.5

Q: Find the limit. (If the limit is infinite, enter 'o' or '-', as appropriate. If the limit does not o...

A:

Q: The graph of y = f(x) (solid) and y = g(x) (dashed) is shown 6+ 4 -6 -5 -4 -3 -2 -2- -4- -5- -6+ Fin...

A:

Q: Find the limit. (a) lim x→3 Vx +6 – x x3 – 3x2

A:

Q: e equation of the tangent line to the curve y = . at the point (3,- ) ) is x+16y +11=0 x+8y - 7 = 0 ...

A: Topic:- calculus