Find the length of hypotenuse of the right triangle that has legs of length 14 cm and 16 cm. O 2√113 04√7 O 3√21 ○ 2√15

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

A:

Q: Write the cosine equation for the function below. 1.5 1 -0.5 -540 -360 -180 180 wh -0.5 --1 --1,5…

A: A graph of the cosine function is given.The objective is to find the equation of the graph.

Q: d . Find for the following integral by using Leibniz rule. (3 marks) dx √ ² (x (x - t) ³u(t)dt

A:

Q: 1. Let f and g be the functions with the graphs given below. Evaluate the following limits: • lim g…

A:

Q: provide in good format please

A: To determine the number of days that must pass before the class must repeat a seating arrangement,…

Q: 1 5 0 2 4₂ -2, 1 Note that u₁ and u₂ are orthogonal. It can be shown that u3 is not in the 1 1 0…

A:

Q: 3. Determine whether or not the following pairs of functions are linearly independent. a. {e²r,e} b.…

A: The given pair of functions,(a) (b) To determine whether the functions are linearly independent or…

Q: Solve the linear programming problem. Maximize z = 10x + 10y Subject to 8x + 7y 2 136 14x-13y ≥ 36…

A: The given problem is to find the solution for the given linear programming problem of max Z subject…

Q: Approximate the following integral using both Trapezoidal Rule and Simpson's Rule with n = 4:…

A:

Q: 1. The distance between two points with coordinates (XA,YA) and (XB,YB) is given by: Distance=   √…

A: Since the programming language is not mentioned, I am using C++ programming language.

Q: Complete the square of the following quadratic expression -3x² - 24x - 43 y=-3 (x+4)² +5 y = 3 (x +…

A:

Q: 2. Solve for the following missing sides, to the nearest tenth of a metre, and angle to the nearest…

A:

Q: what is the equation of this function? heres some information about it: degree is 5, has a positive…

A: Based on the given information, we know that the function is a polynomial of degree 5, has a…

Q: Use the method of variation of parameters to solve the initial value problem x' = Ax+ f(t), x(a)=x₂…

A: Given that where, We have to find the solution x(t) using the method of variation of parameters.

Q: The income Yt evolves according to the following equation in differences where It is investment and…

A: Given the relation between the income , investment , and consumption  as The consumption is given by…

Q: Solve the following system by the method of reduction. - 4z= 16 2x-2y-2z= 24 2x+2y-2z= -4 4x+2y +…

A:

Q: Let y = a. UTU= UUT 8 4 = II a. Let U be the 2 x 1 matrix whose only column is u₁. Compute UTU and…

A:

Q: tan x12 + tan x - Solve for <x< 1: [(3 [(3 - 2√2)² + tan x]tan x Be careful to see how the two terms…

A:

Q: Find the equation from the graph. *P M N Q a N 1 A. y=x-4 O B. y=4x-4 OC₂ y=4x+4 C. OD. y=x+4

A: A graph of the linear function is given.We have to find its equation.

Q: A) Classify each of the following integral equations as Fredholm or Volterra integral equation,…

A: (.) Given integral equations are ,        and   (.)  Consider integral equation ,       is called…

Q: The population of a town is increasing at a rate of 6.2% per year. The city council believes they…

A:

Q: Solve for angle A in the triangle below a. 52° b. 54° C. 36° d. 47° 11 cm 8 cm

A:

Q: 12. Solve: a. y" + 6y' +10y = 0 b. y" - by' +9y = 0 c. y" - 5y' + 6y = 0

A: (1) Assuming  as trial solution.(2) finding the derivatives upto the same as order of the…

Q: H. Convert the following Volterra integral equations to an equivalent initial value problem (IVP).…

A:

Q: Solve the following polynomial equation x³-4x²= 7x-10

A: The given polynomial equation is .The objective is to solve the given equation.

Q: solve the homogeneous equation: (xy + y2) + (x2 - xy) dy/dx = 0

A:

Q: 3. Newton's Cooling: Professor Westin lives in a two story house. One cold winter night the…

A:

Q: 4. The mass, M, in grams of a compound form during a chemical reaction can be modelled by the where…

A: Mass of M, in gram of a compound form during a chemical reaction can be modelled by the  function…

Q: Let V be the volume of the region in R3 that is under the plane z = 12x, above the cy-plane, and…

A: The region is bounded by  and  above the  plane between the curve

Q: 6. Solve the following initial value problem y" + 4y' + 5y = 8(t - 2) = 82(t) y(0) = 1, y'(0) = 2

A: Note: According to the guidelines we are allowed to solve one question at a time. Please post next…

Q: y" + 36y: = sec² 6t csc 6t

A:

Q: 3. Verify Stokes' Theorem for fas F. dr, where F = −yx²i + xy²j + zk, and S is the part of the…

A:

Q: Let A Je a 5x9 matrix with rank equal to 2. find the dimensions of the rowspace of A column space of…

A:

Q: Prove the semi inscribed angle theorem. The measure of a semi inscribed angle in a circle is half…

A:

Q: The following table shows the average price of a two-bedroom apartment in downtown New York City…

A:

Q: 2. Evaluate using Gamma Function: a. r b. {t¹.5}

A:

Q: Question 10 Evaluate the double integral ff (2x + 5y) dA by changing to polar coordinates where R is…

A:

Q: Consider the following problem: minimize: f(x) subject to: € N

A:

Q: valuate [... F · dỡ where F¹ = (-4z, 3y, -3x), and C is given by F(t) = (sin(t), t, cos(t)), 0 <t<T…

A:

Q: Problem 1: Amat 584 abstract simplicial complex? Which of the following sets is an ansver For each…

A: Given:a) b) c) To Find:The set which is abstract simplicial complex.If the set is abstract…

Q: Question 3 How do we determine if a differential equation M(x, y)da + N(x, y)dy = 0 is an exact…

A:

Q: 2) S (x + 2y)dA R= {(x,y): 0<x<3,1<y≤ 4}

A:

Q: Suppose a poker hand contains seven cards rather than five. Compute the number of poker hands has…

A: Let a poker hand contains seven cards rather than five. we have to compute the number of poker hands…

Q: Let's work with a quaternion q representing a rotation of theta = 40 degrees around the axis n-hat=…

A: Given that rotation angle degrees and the rotation axis: -hat The objective is to find the second…

Q: Find the symmetric matrix for the following quadratic form. Then determine if that matrix is…

A:

Q: (1₁ y = I se power series to solve the initial-value problem E n=0 2n + XO 70 n=0 2n+1 (x² - 2)y" +…

A:

Q: find a bound for the number of iterations needed to achieve an approximation with accuracy 10−3 to…

A: find a bound for the number of iterations needed to achieve an approximation with accuracy  to the…

Q: m (cos(™T)™ +In(mm) (m²+5)m/2 Σm=1

A: Given:The given expression is .To Find:We have to solve the given expression.

Q: Match the solution curve with one of the differential equations. Where Oy"+y=0 y" + 2y' + 2y = 0 Oy"…

A:

Q: Prove that the permutation symbol (e) defines a Cartesian tensor in R². It is assumed that e is…

A: Given:To prove that the permutation symbol defines a Cartesian tensor in .