Q1. For the function f(x) = 3x² + 5x – 1, determine the required average and instantaneous rates of change. c) instantaneous rate of change at x = 2 using an interval strategy. (Use h = 0.01)

Q: वेपु (+।) ९ ५ %3D

A:

Q: Perth Mining Company operates two mines for the purpose of extracting gold and sitver. The Saddie…

A: We have to tabulate by the given information: Gold 50 oz  75oz 650 oz Silver  3000 oz 1000 oz…

Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

A: 1st we will draw the region and rotate it about y axis to generate the solid . As we need to use…

Q: 6. Solve the initial-value problem и, +ии, 3D0 with the initial curve x = - t², t= t, u = t.

A:

Q: 1. Define function f : Z+ → Z such that f(n) = /n. (a) Is f one-to-one? Justify (prove) your answer.

A:

Q: Consider a triangle ABC like the one below. Suppose that A=33°, C=117°, and c=9. (The figure is not…

A:

Q: A company produces two types of solar panels, A and B, that sell for $4 million and $3 million per…

A: Given, Revenue function,R(x,y)=4x+3y Cost function,C(x,y)=x2-2xy+8y2+8x-85y-6 To find: Number of…

Q: Find a root of: f(x) = -25+82x – 90x² + 44x³ – 8x+ + 0.7x³ Using False Position Method, perform 5…

A:

Q: Find a general equation of the plane through the point (2,9, 6) and parallel to the plane x + 5y +…

A:

Q: Find a general equation of the plane through the point (2, 9, 6) and parallel to the plane a + 5y +…

A:

Q: Consider the following graph: a) Find a maximum set of pairwise internally-disjoint uv- paths. b)…

A:

Q: Expand f(z) in powers of (z – 12) . Also %D (z-6) clearly mention the domain in which this expansion…

A: Power's exaption and interval of converges

Q: Find a vector equation with parameter t for the line of intersection of the planes x + y + z = 4 and…

A: To find the equation of line with parameter t of the intersection of the planes  x + y + z =4 and…

Q: Obtain the matrix representation of the CNOT gates given in (a) and (b). Prove the circuit identity…

A:

Q: Both first partial derivatives of the function f(x,y) are zero at the given points. Use the…

A:

Q: 1 Expand f(z) : in the domain %3D (z-6) (z-9) 6 < [z] < 9.

A:

Q: Use the following matrices for the next 3 questions 1 2 0 B= 3 4 5 0 0 6 det(B)

A:

Q: 4. (a) Show that the line l given by l: r = 2+3t, y =1+ 4t, z = 5 + 2t, te R, lies in the plane II…

A:

Q: Exercise III (a) Let I = psin(ø) cos (0); y = p sin(6) sin(0); pcos(6). Then find the following. (i)…

A:

Q: f(x) = x* – 8x³ – 35x? + 450x – 1001 Using False Position Method, perform 6 iterations using [4.5,6]…

A:

Q: Consider writing onto a computer disk and then sending it through a certifier that counts the number…

A:

Q: Starting at a fixed time, each car entering an intersection is observed to see whether it turns left…

A: Given an experiment on observation of cars to see whether it turns leftL, rightR or goes straight…

Q: fn(x) = { n2x for  0<=x<= 1/n, -n2x + 2n for 1/n<= x<= 2/n, 0 for 2/n<= x<= 1., is uniformly…

A:

Q: Verify that lxl:|Ž Ž1% P) is normed spase: and show that nokmed Spase Spase:

A:

Q: How many times do we need to iterate using NRM to find the root of the function f(x) = 4xe2* – 2 to…

A:

Q: 5. Calculate the inverse of the following matrix using Gauss-Jordan elimination. A =

A:

Q: Find a vector equation with parameter t for the line of intersection of the planes a + y + z = 4 and…

A:

Q: Find a vector equation with parameter t for the line through the point (7,0, –7) and parallel to the…

A: We want to find the equation of required line

Q: 10.Prove that the differential equation (e +1)cosxdx +e sinxdy =0 is exact and solve it.

A:

Q: The z-transform of y(n) is Y(z) = 2z2 + z + 1 + 2z-1 + 3z-2, Izl # 0. Find the sequence (½)"y(n –…

A:

Q: Use the following matrices for the next 3 questions |2 -3 4 A= 3 1 -2 det (A · A")

A:

Q: Use the Newton Raphson method to find the second iteration of the root to 5 decimal places of the…

A: Given: f(x)=37x2+1e-x-40cos(2x) To find: Find approximate root of a given function using Newton's…

Q: 6 6 4. -6 10 -1 23 10 0 -2 -11 3 B = -5 -11 9 -3 1. Given the matrices A = C =[-3 2 9 -5 7]. 1 -1 3…

A:

Q: 3. This problem is about set addition and subspaces. Let d and d2 , and V = span{di}, U = span{d2}.…

A:

Q: d the c ritical points of functions below and clasSsify them as relativ ative maxima or saddle…

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Eliminate the parameter for the given parametric equations to write an equation in the form of y= f…

A: Introduction: The rectangular form of a function is y=fx. If we introduce another independent…

Q: 5. A curve has equation y + sin 2y = 2x – x². (a) Use implicit differentiation to show that y' = -1…

A: A curve has the equation  y3 + sin2y = 2x - x2 We have to draw the graph in neighbourhood of (2,0).

Q: Why does the linear congruence 25x ≡ 30 (mod 75) have no solutions?

A: To show that the linear congruence 25x≡30mod 75 have no solutions.

Q: Problem 8. Which of the following maps are contracting mappings? 1 (a) f(x) = 3x – 4; (B) f(m) =…

A:

Q: Calculate L6 for f(x) = v9x + 3 over [1, 3]. (Give your answer to three decimal places.) O 273

A:

Q: Find the general solution of each differential equation, and when initial conditions are given, the…

A:

Q: Suppose that k and n > k are fixed positive integers. Justify the identity k+1,

A:

Q: 5. ( 4 0 -2) D= -2 1 -2 5 A= B = (-1 4 3) 3 3 (1 -' H= (3 3 2 E= 5 0 -1 4 -1 G= -2 5 F = (3 -2)…

A: Given-  A = 51          B = -143         C = -2532        D = 40-2-211134E = 33250-1      F = 3-2…

Q: (b) A right-angled triangle has sides of length 3 and x, and a hypotenuse of length l. Given that =…

A:

Q: Determine if the vectors vị = (1, –1,3, –1), v2 = (1, –-1, 4, 2), v3 = (1, –1,5, 7) are linearly…

A: We have to determined the vectors v1=(1, -1, 3, -1), v2=(1, -1, 4, 2), v3=(1, -1, 5, 7) are linearly…

Q: (b) A right-angled triangle has sides of length 3 and æ, and a hypotenuse of length e. Given that (2…

A: Given a right angle triangle has sides of length 3 and x and a Hypotenuse of length l. Given that…

Q: Q3: Show that f (x) = x2 - sin x - 0.5 = 0 has a root in the interval [-1, 0] and Find the minimum…

A:

Q: . RVW (Restored Volkswagens) buys 15 used VW's at each of two car auctions each week held at…

A:

Q: Compute the total mass of a wire bent in a quarter circle with parametric equations: x = 5 cos t, y…

A:

Q: Find the general solution of each differential equation, and when initial conditions are given, the…

A: Solve the first order differential equation, by using Separation of variables method