12 The sketch shows the graph of y= Jx-1. -1 (i) Differentiate y = Vx - 1. (ii) Find the coordinates of the point on the curve y= Vx -1 at which the tangent is parallel to the line y = 2x - 1. (iii) Is the line y = 2x – 1 a tangent to the curve y= Vx -1? Give reasons for your answer. %3D

Q: 1) An arithmetic sequence has a its 5h term equal to 22 and its 15th term equal to 62. Find its 100t...

A:

Q: if x < 3 G(x) = if 3 <x 9-x

A:

Q: f the line + 2x?u n ioining

A:

Q: I need help with 5.

A:

Q: (1) f (x, y) = V1+x – y COS

A:

Q: Evaluate the Laplace transform of the following: 1. Prove: L{e-at cos kt} = sta (s+a)²+k2 using the ...

A:

Q: 9. G(t) = e2-t U(t- 2) 10. Given this period function: Sawtooth function b 2b 3b 4b

A:

Q: Suppose f and g are two continuous functions on [a,b] and that f(a) g(b). Show that f(x) = g(x) for...

A: Suppose f and g are two continuous functions on [a, b] and f(a) &lt;g(a) but  f(b) &gt;g(b).  Show t...

Q: A management consulting firm has four types of professionals on its staff: Managing consultants, sen...

A: The complete solutions are given below  

Q: The theorem is attached. Thank you.

A: We prove above theorem by using given result.

Q: THEOREM 23. Let K be an integral operator on L2([a, b], a) KS = [°xe K(x, y)f(y) da(y) where T| K(x,...

A: We will use the basic knowledge of functional analysis to answer this question. Recall the definitio...

Q: Problem 1. Find the order of the following differential equations equation. (a)粤+2 +r=0 d²y dr² +2dy...

A: a Given differential equation is d2ydx2+2dydxd3ydx3+x=0. Definition of order:- Order of a differenti...

Q: Create a box-grid with 10 rows and 9 columns (eg. using google Sheets) and, starting from the upper ...

A: We will use basic knowledge of number theory to answer this question in google sheets.

Q: Let x and a be vectors in R2 Define the L: R2→ R2 by L(x) = x +a Is this function a linear operator?...

A:

Q: Find the angle 0 between the vectors. f(x) = 3x, g(x) = 4x?, (f, g) = | Rx)9 f(x)g(x) dx radians

A:

Q: Find the solution to the boundary value problem: d'y -dy 7- + 10y = 0, y(0) = 9, y(1) = 5 dt dt? The...

A:

Q: 1-cos 3x +C dx 1+ cos 3x 3sin 3x

A:

Q: 2. Solve the following Luñear partial differental equationsi cis -)p H. 24 dz +と?: 2 Pー×yY = z(2-2 a...

A:

Q: Example 2: Using the False Position method, find an approximated root of the function: f(x) = x² – 1...

A: The equation in form f(x)=0 is called a transcendental equation. If the function is continuous on [a...

Q: Q1/ Find all the second-order partial derivatives of the functions 1. g(x, y) = xy + cos y + y sin x

A: To find- Find all the second-order partial derivatives of the functions gx, y = x2y + cos y + y sin ...

Q: 3 The location i of the centroid of an arc of a circle is given by: i - rsina Determine the angle a ...

A: Firstly using the relation given we form the equation in alpha. In (a) we use the bisection method t...

Q: Show that |Re(z)| + |Im(z)| ≤ √ 2|z| for any z ∈ C

A: We will use the basic knowledge of the complex number system to answer this question. 

Q: Solve the given differential equation by undetermined coefficients. y" + 4y = 6 sin(2x)

A:

Q: 2. At an interest rate of 2% per month, the money will double in value in how many months?

A: The compound interest formula for an amount P compounded per month at a rate of r% for n months is g...

Q: In an apartment complex, there are 5 windows in each apartment, and 9 apartments in each floor. How ...

A:

Q: Find the solution of the following Differential Equations 2) y' =-xy

A: Since you have posted a multiple question according to guildlines I will solve first  question for ...

Q: Evaluate the lim x + 3 2r2 – 3x + 1 5x +4

A:

Q: Find a particular solution to y" +4y = - 12 sin(2t).

A:

Q: e*,g(x) = = e-* in C[-1,1] Q4) For the following functions f(x) find , |IF |I, d(f,g), and then find...

A: given function fx=ex , gx=e-x in C-1,1 inner product is defined as f,g=∫-11fxgxdx find a) f,g b) f c...

Q: Find  fx and fy, and evaluate each at the given point. f(x, y) = arctan (y/x),    (6, −6)

A: Given: The function fx,y=tan-1yx The point 6,-6   To determine: fx and fy and their values at the gi...

Q: Cassandra received a loan of $7,700 at 4.25% compounded monthly. She settled the loan by making peri...

A: To determine the size of the periodic payment.

Q: 2. Consider the following parameterization of the rotation matrix p= a tan 2. where a is the princip...

A:

Q: Compute the point of intersection of the curve sinx and x3-1 with the help of Bisection Method. Corr...

A:

Q: Check which of the complex no. is closer to the origin.. Z1 = 1 + 2i , Z2 = 3 – 4i

A: The general form of a complex number is given by a+ib, where a, b are two real numbers and i=-1. The...

Q: Prove that (n – 1) +n° + (n + 1)° is divisible by 9 for n E {1,2,3, . }

A:

Q: Let f: R R be a function defined as f function is one to one.

A: (a) Given, f:ℝ→ℝ be a function defined as                                  f(x)=(x+2)2              

Q: The set S contains some real numbers, according to the following three rules (i) 1/1 is in S (ii) ...

A:

Q: O Let (R, +) is aring. and f:R>R defind as XER Show that f is isomorphi'sM and is said tobe identity...

A:

Q: We have r(t) = (2e-t, sin-'t, In(1 –t)) , %3D Find 1- The domain 2- ar , an, T, N and t at t=1

A:

Q: In an apartment complex, there are 5 windows in each apartment, and 9 apartments in each floor. How ...

A:

Q: 3) Suppose plane P, contains the points A(5,0, –1), B(2,3, 2), and C(-2, 1, –4), and assume P, is th...

A:

Q: preve tan h (ix) = itan(X) sinh (ix) = i sinc(X) Cos h lix) = Cos X %3D %3D

A:

Q: Exercise Set P.1 page(14-16) 4 In Exercises 67to 78, evaluate the variable expression for x-3, y-2, ...

A: To find- Evaluate the variable expression for x = 3, y = -2, and z = -1 2xy2z4y - z4

Q: Find a value for the constant k, if possible, that will make the function continuous. Skx², f(x) = (...

A:

Q: Prove the Pigeonhole Principle - If m pigeons are assigned ton pigeonholes, where m>n, then at least...

A:

Q: Determine which of the following transformations are linear transformations. OA. The transformation ...

A:

Q: E+ 4) for x e [O, of f(x)?

A:

Q: olve the system of linear equations given below. —11х1 + 13х2 — 15хз + 25х4 -19x1 + 33x2 + 27x3 + 15...

A: According to rule of bartleby we can solve only 1st question or 1dt three sub question ,if you want ...

Q: A Managment instutute can operate for a maxium 12 hours .lectures are the outout of the institute an...

A: Let there be one variable x for both lecture duration and mandatory break   

Q: Find the parer series expansion Of tete -

A: