Determine the limit and lim (x²-1) X-1 2 lin fixtal (२) X90 Lim √x³-1 X41 graph the follow

Q: A graphing calculator is recommended. (a) Graph the functions f(x) = 1.0 Viewing window [0, 10] by…

A:

Q: In constructing an open rectangular box from 147 ft of material, what dimensions will result in a…

A:

Q: Evaluate the following line integral: (1,1,1) 3x² dx + dy + 2z ln(y)dz Y

A:

Q: Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. y (4)…

A: Given

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral…

A:

Q: Evaluate the indefinite integral Ssin (x) dx

A:

Q: To find the extreme values of a function f(x,y) on a curve x= x(t), y = y(t), treat f as a function…

A:

Q: dy 1. Use implicit differentiation to find dx for the curve xy² + x² = y +1

A:

Q: Use the Integral Test to determine whether the infinite series is convergent. dx = n=3 a. To perform…

A:

Q: 1 15. Find the inverse (showing your work) of A = -1 2 3 Ax = -2 6 -3 -31 1 2. Use the inverse to…

A: A=1-3-3-1122-3-3A-1=1Aadj(A)

Q: If z = ln(2x+y), x = u sin v, y = v cos u, find az/av when u = 0, v = 1. A. -2 B. -1 C. 0 D. 1 E. 2

A:

Q: In our discussion about Fibonacci sequence, we said that Fibonacci numbers occur in the species of…

A: see below the answer and explanation

Q: In a well known story the inventor of the game of chess was asked by his well pleased King what…

A: Given that f(1)=1,f(2)=1+2=3, f(3)=1+2+4=7

Q: y = 2x² - 8x. Determine the slope of the tangent to the function at x = 2.

A: To find the derivative of the function y=2x2-8xusing first principles,we start by using the…

Q: Determine the maximum and minimum possible values of 5x^2 + 2y^2, under the constraint x^2+y^2 ≤ 0.…

A:

Q: Prove that points A(2,4,3), B(4,5,1), C(5,0,11), and D(5,4,3) are coplaner.

A: We are required to prove that points A(2,4,3), B(4,5,1), C(5,0,11), and D(5,4,3) are coplanar.

Q: if Xo = 2, x₁ = 3 and x₂ = 4 X2 polynomial for f(x) = 1 Interpolation is the second degree using…

A:

Q: Find the volume of the indicated region. the region bounded by the coordinate planes and the planes…

A:

Q: y=x-y 26. ln(x² + y²) = x +4 27-30, compute the derivative at the point indicated with 192 of 1148,…

A:

Q: Find the point on f(x) 1 4 = )` √ that has a slope of

A: As we know the slope of the tangent line to the given curve is equal to the derivative of the given…

Q: For the function y = f(x) = 4x³ – 5:

A:

Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) (x² + x 5 3 ) lim…

A: Topic = Limits

Q: Write out the first five terms of the Enter the following information for an = a1 = a2= a3 = a4= a5…

A: Given query is to find first 5 terms and the limit.  We have,   an = ln(n) / (n+1)

Q: Find the antiderivative for the given function. + C sinh(5æ +3)

A:

Q: Calculate the derivative. y = 7* - 10 * (Express numbers in exact form. Use symbolic notation and…

A: Given: y=7x-10-xx

Q: 1. For the following differential equations, specify the independent and dependent variables, state…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: In this problem, y = 1/(1+c₁e) is a one-parameter family of solutions of the first-order DE y'= y -…

A: Given y=11+c1e-xput  x=0 and y=-17we get -17=11+c1e-0-17=11+c11+c1=-7c1=-8

Q: Evaluate the indefinite integral. 4x + 7 [³ -dx x² + 1 + C

A:

Q: Find the cross product a x b. a = 3j9k, b = i +4j+ k Verify that it is orthogonal to both a and b.…

A:

Q: please show full calculations

A: Here is the solution

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

A:

Q: Evaluate the indefinite integral Ssec² (x) dx

A:

Q: Answer each of the following problems using the Average Value of a Function. 7. Find the average…

A: Concept Average value = 1b - a∫abf( x )dxAverage value = 1b - a[ Area under the curve with sign ]

Q: a) Find f'(0) if f(x) = 2x Give three digits past the decimal point. b) What is the slope of the…

A: To find the derivative of given function at the mentioned point.

Q: 6. A cannonball is launched. The height of the cannonball, h, in metres, above the ground at time t,…

A:

Q: Suppose that the marginal propensity to save is ds 1 dy y + 1 and that consumption is $14 billion…

A:

Q: Use L'Hospital's rule to determine the following limit. Use exact values. e72-1 lim T→0 sin(5x) =

A: Given    limx→0e7x-1sin(5x)

Q: 1. Find each partial derivative. 8x²-3xy4+y4 2y a) If f(x,y)= fx(x, y) = =

A:

Q: Ten and one-half foot-pounds of work is required to compress a spring 2 inches from its natural…

A:

Q: 2 Find an equation of the tangent line to y = f(x)=√x +55 at x = 3. Enter an exact numbers, do not…

A: To find an equation of the tangent line to y=fx=x2+55 at x=3.

Q: Write an equation for the function graphed below -7 -6 -5 y = -3 -2 -1 5 in P P 7327? -4 -5 5 6

A:

Q: 98t √√²+1 answer, do not use decimal approximation. (Assume units of meters and seconds.) Use the…

A:

Q: Suppose a brine containing 0.4 kg of salt per liter runs into a tank initially filled with 500 L of…

A:

Q: 2. The volume of a sphere with radius r is given by V = 4 3r³ (a) Take derivatives of both sides…

A: Volume of a shpere with radius r is given by V=43πr3

Q: A one-parameter family of solutions of the DE P' = P(1-P) is given below. c₁et P = 1 + Does any…

A:

Q: A semicircular (radius = r) arc-shaped earrings. Is hung on the yarn pattern. Specify the encounter…

A: Thank you for providing more information. Based on my understanding, you are asking for the position…

Q: CUNCHL Allchiptirigits (a) Find the third Maclaurin polynomial for f(x) = 9+ 10x + 3x² - 8x³ P3(x) -

A:

Q: ind the work done by force field F(x, y) = e-vi — xe¯j in moving an object from P(0, 3) to Q(3,0). (

A:

Q: Find a local linear approximation for the function f(x)=4x+10/x−3 valid for x near 4. Answer:…

A:

Q: Calculate IL ₁ where D is the triangle with vertices (0, 0), (2, 1) and (0, 1). x dA

A: