Compute the determinant using a cofactor expansion across the FIRST row. (read carefully)

Q: b.) Find the root of f(x) = 2x³-5x+2 using Method of successive substitution. (Allowable error <…

A:

Q: Q3: The demand and supply functions for labour are given by: Labour demand function Wd=70-4L, Labour…

A:

Q: Prove the limit below exists, by using the Binomial Theorem and the Monotone converge only. No…

A:

Q: What is the implicit solution of the problem using x and y as the variables? The question wasnt…

A:

Q: Find the Wronskian of the functions f(t) = 5e* sin(t) and g(t) = et cos(t). NOTE: Your answer must…

A: I have given the answer in the next step. Hope you understand that

Q: Find bilinear transformation which transforms the points z = 1, 0, into the points W = -1, 1, i…

A:

Q: Express the following as a linear combination of u=(2, 1, 3), v= (1, -1, 4) and w=(2, 8, 8). (5, 14,…

A:

Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

A: 8x2+3y2-176x-42y+1091=0

Q: B. Let U = {x|x is a lowercase letter in the English alphabet} be the universal set. In roster…

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…

Q: sits $13,000 at the beginning of each year for 16 years in an account paying 8% compounded annually.…

A:

Q: Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule. Estimate…

A: The given integral is ∫0π sint dt To find: (a) definite integral by Trapezoidal rule and Simpson's…

Q: التاريخ 1 Find The approximate value of f(x) at x=1-2 where f is defined over The period[17] Thus:…

A:

Q: The partial derivative of f(x, y) with respect to y at the point (x,y) is f(x+h,y)-f(x,y) h B f(x…

A: We have to Write the Partial derivative of f(x, y) with respect to y at the point (x0,y0).

Q: OL XL 2, 4 Utt = Uxx u (o₁ t) = u(2₁ t) = 0 u(x₁0) = I sIMITX COSTTX ut (x,0) = 0 Solve the heat…

A:

Q: Q1: Answer all points a) Calculate (i) 23% of 15.34 (ii) 10 % of 15.34. b) A salary of £5 240 is to…

A:

Q: 8. Given the function g(x, y, z) = x²y - 4zex+y, find the slope at P(1,0,1) in the direction of the…

A:

Q: dz Find given: dt z = xe¹y, x=t³, y = 4 + 4t dz dt Your answer should only involve the variable t

A: We have : z=x e4yx=t5y=4+4t So, z=xt, yt dzdt=dzdx×dxdt+dzdy×dydt Now,…

Q: Find values for the the entries in the first matrix to satisfy this equation: 0 0 5 -10 -4 7 0 0 -1…

A: We have to find the entries of the first matrix satisfying the given matrix equation. Let us denote…

Q: Given f(x, y) = sin(x + y) where x = s5t¹, y = 58 - 4t. Find fs (x(s, t), y(s, t)) = ft(x(s, t),…

A:

Q: Find the sloution of the given DE dy - Y X dx y + x Yexact y(0) = 1, h = 0.1 at x = 0.5 7 ? (find…

A: We have to find the exact solution to the given differential equation.

Q: 1-(x+3x³ sin y) dx + (x* cos y)dy = 0 2-(2x² + y)dx + (x²y-x)dy=0 3-xy'dx + (x³y² +1) dy=0 4-(3x²y +…

A:

Q: Let a1 = a2 = 1 and suppose an = an-1 + an-2 for n ≥ 3. Prove that a1a2 + a2a3 + · · · + a2n-1a2n =…

A: We have given that , a1 = a2 = 1 Also , an = an-1 + an-2 We need to prove that ,  a1a2 + a2a3 +…

Q: Are the triangles similar? If similar, state the theorem that proves they are similar. If not…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: (a) Write 13 as a sum of distinct powers of 2. (b) Use the fast factoring algorithm to compute 213…

A: 13 can be written as a sum of distinct powers  of 2. 2^3=8 2^2=4 2^0=1  2^3 + 2^2 +2^0

Q: Taylor series for the function below ends ? with (x) to the power 2 f(x)=x² + x² +1, a = -2

A:

Q: Let X be a Banach space and TE B(X) an operator with ||T|| € (T). Show that || id +T|| = 1 + ||T||.

A:

Q: np 100 n=11 converge. 2+n² Find the values of p such that the series - Find the radius of…

A:

Q: /Solve the following: ( ) 1 a) L-1 s(s²+a) 18z² (2 z-1)(4 z+1) b) Z¹

A:

Q: i. y" + 2y + 10y = t cos(t) + et;

A:

Q: A movie stuntman receives an annual salary of $120,000, but becomes a quadriplegic after jumping…

A: Introduction: The formula for the future value of the annuity is FV=P×(1+r)n-1r . The formula for…

Q: Express ow/ds in terms of r and s if w = x² + y², x=r-S, y=r+s A) 4s B) 4r C) 4sr O O

A:

Q: Q3/A/Find the surface area generated by rotating the curve y = cos h(x) about x axis for 0≤x≤1 www

A:

Q: Suppose u, v and w are non-zero vectors in R" such that proj(-2v) a and proj(5w)= b. Use the…

A: Projection vector of a→ in the direction of b→ Proj b→a→= a→.b→b→×b^=a→.b→b→b→2

Q: In an experiment where 2 balls are drawn successively at random without replacement from a box…

A:

Q: * :Test the following function using limits x² - 25 lim x→→5 x² + 2x - 15 B) 5/3 A) 5/4 O C) 5/2 O

A: Apply the following steps to find the value of the given limit. Factorize the expressions in the…

Q: Consider the following function. f(x) = x³ + 8 (a) Find the inverse function of f. f-1(x) =

A: C).option 3 is the correct answer  Graph of inverse of f is the reflection of f in the line y=x D.)…

Q: * Drive the following function for :(y) (5xy²z)²/³ * (sinxz) 20(sinxz) (xyz) 3(5xy²z)¹/3 A 10(sinxz)…

A:

Q: Suppose we have the female population of a species is divided into juveniles, yearlings, and adults…

A: note : As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: A brine solution of salt flows at a constant rate of 6 L/min into a large tank that initially held…

A:

Q: { :Find the first 3 terms for 2n-1 (2n-1)! (−1)n+¹

A: given sequence  -1n+1x2n-12n-1!

Q: Suppose that we start with the sequence 1 1 1 1 1 1 '2'4'8'16'32'64' If we denote the above sequence…

A:

Q: (A) Estimate the area under the graph of f(x) = 3x³ + 4 from * = -1 to z = 4, first using 5…

A: Sol: Since Using Right end point and Left end point , correct value is calculated Now Part (C) Using…

Q: Find the points on the cone 2² = x² + y² that are closest to the point (3,-3,0)

A:

Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

A: The given equation is x2-5y2+26x+164=0 there are two variables and both are squared with opposite…

Q: :The partial derivative (fy) for the function 7sin (x²), (f(x, y) = COS (2y)

A:

Q: Using the Wronskian, determine if the sets are independent. a) {sin 3x, cos 3x} b) { ex, e-x}

A: Here we use the statement that if wronskian is non zero then sets are inpendent.

Q: Evaluate triple integral of volume xyzdxdydz where V is the region of space inside the tetrahedron…

A:

Q: Apply the eigenvalue method to find a general solution of the given system. Use a computer system or…

A: Given  x1'=6x1-5x2, x2'=4x1+2x2   To apply eigenvalue method to find the general solution of the…

Q: Four pencils are held together with a band. The figure on the right shows the bottom end of the…

A: We have to find the length of the band which is holding four pencils together. The lower end of the…

Q: You name the four corners O,A,B and C. From O you walk due East a distance of 80m to A and at A you…

A: Given that O,A,B and C are four corners and from O one walks towards east covering a distance of 80…