Question 1: Determine the length of y = 8(1+ x)ē, 0

Q: Question 2 (a) [1, 2]. Use the Theorem from the course to prove that g(x) = 1+ e¬¤ has a unique…

A: For the given function g(x)=1+e-x has a unique fixed point on 1,2. The theorem says that, g(x) is…

Q: QUESTION 2 Solue the following inear ystem +3x3=1 2x+ X g =4

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Q: Question 1 : Use Runge – Kutta's method of order four to find an approximate value of y for x = 0.2…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Question No. 10 Use Secant method to find to find solution accurate to within 10 for the following…

A: (i) 3xex=0, 1,2 Using secant method, we get 1st iteration  x0=1,…

Q: Question 11 puas √1+1² Ffxx)=f -dt, then f'(x) equals 0 I+e' In(secx)√1+tan²x Itela tanx sec³x 1+ele…

A: Topic:- application of integration  Note :- as per our guideline if more than one question uploaded…

Q: QUESTION NO 2: Differentiate the following (a)Y=6x?-sec-1 5x (b)Y=2cos(x)+6cos-1 OS

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Q: Question 7 2²e"² sin(x²yz) Let f(x, y, z) 12 find dyəzə"x at the point (3, 0,0) 4 8.

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Q: Question 40 The graph of y=2 is concave downward for all values of such that. 0 x 2 0x 0 < Previous

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Q: 2. g(x) = v2-X

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Q: (iii) Compute E[X].

A: iii) The probability of getting a head for TJ= 12[because the coin is fair] The probability of…

Q: Question 12 If the solution to e2x sec2(e2x+1)dx is equal to ktan (e2x+') + C, find the exact val S…

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Q: Question 2 x+1 Let p be a real number and define y = d: for x>1. dy _ -2 py ( a) Show that dx x -1

A: Hi , i have solved 1st part.for 2nd part repost your question.

Q: 3. Find the eYact Value. (Pre-Calcylus)

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Q: Question 13 sin(Va - 1) lim x - 1 (a) 1 (b) 1/2 (c) 2 (d) ∞ (e) none of these

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Q: + 1 2 3 FIGURE 4 Graph of y — х3 — 8х — 1. - 19. Find an interval of length i in [0, 1] containing a…

A: To find: The interval of length 14. Given information: The polynomial is x5-5x+1=0 Concept used:…

Q: QUESTION 3 xy Let f(x.y)= x² +y lim f(x.y) along the path y= mx, for any constant m. Find (x.y) -…

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Q: Question 7 10 fx)dx into To use Gauss quadrature formula we have to convert 2.5/2.5+7.5x) dx 7.5…

A: Given: The integral  ∫510f(x) dx

Q: Question 14 Let z(t) be the solution to the following initial value problem (IVP) = (7z - 3)(2z –…

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Q: Question 5 5 Draw a large, neat and accurate sketch of the graph of y=x²-7x+10. Use rectangles of…

A: as given, width of rectangle is 0.5 cm and height is fx=x2-7x+10 area of rectangle is A= height…

Q: Given x = y³+2y — In(y + 1), find the arc length for 0 ≤ y ≤ 3 B

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Q: Question 5 part (i) with detail explanation, steps, indicate any theorems or formulas

A: given: f is the function defined on [-5,5] and whose graph y=f(x) is the blue curve below. included…

Q: Question 2. Consider the function f(x) = 1 – x² on [-1, 1], and a point a e [-1,1]. Consider the…

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Q: Question 1 Differentiate: arcsin Oy/x 01 O x/y O (E) None of these 0 0 (# )+ + arccos (²-) = 1

A: Differentiation

Q: Question 16 The graph of e and In x is symmetric A about the line y= x В about the y- axis C about…

A: Solve the following

Q: Question 14 Let z(t) be the solution to the following initial value problem (IVP) 4 = (7x - 3)(2z –…

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Q: Question 5 part (ii) with detail explanation, steps, indicate any theorems or formulas

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Q: QUESTION 5 The approximation of x e*dx by Simpson's Rule is 0.160602 O 0.160603 O 0.162402 O None of…

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Q: Question:2 Find domain of following functions In(e*+e") а. f(x, у) arctan(x+y) x2 – y? if (x, y) 2)

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Q: Question 2 Let r, y ERt with x < y. Show that y-l<x-1.

A: We have to prove that the given inequality.

Q: Question 3 Differentiate: y = arccot (x)+ arctan 01 O (E) None of these Ⓒ2x O 1-2x O < Previous 1-2z

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Q: Question 1 lim xe-* X→∞ A. 0 = B. Co C. e-1 D. e E. 1 F. None of these.

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Q: Problem 2 · Find the limi xY cos(xy) (1,1)→(0,0) x2 + y² a) lim

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Q: Question 2. Consider the function f(x) = 1 – x² on [-1, 1], and a point a E [-1,1]. Consider the…

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Q: Question 2 (a) [1, 2]. Use the Theorem from the course to prove that g(x) = 1+ e¬* has a unique…

A: (a) The objective is to show that gx=1+e-x has a unique fixed point on 1,2. Now let's consider…

Q: IN QUESTION 18, FIND THE EXACT VALUE OF s IN THE GIVEN INTERVAL THAT HAS THE GIVEN CIRCULAR FUNCTION…

A: topic - inverse trigonometric functions

Q: Question 5 Given that 10x + 3x- x2 f(x) = x2 a) Simplify f(x) b) Hence, or otherwise, find g(x) = |…

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Q: QUESTION 4 The minimum value of n required to approximate dx by composite Trapezoidal rule xe with…

A: Solution

Q: Question 3 The slope of the tangent line to the graph of 4x2 + cx – 2e" = -2 at (0, 0) is 4. Give…

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Q: Question 8 Suppose f(x, y) = x²y + xy³. Find fry (0, 1). A) 2xy + x²y' + y² + 3xy²y' B) 5 C) 3 D) x²…

A: Given: fx, y=x2y+xy3 To find: fxy0, 1.

Q: set D: Problem #G Find the eauation OF the Iine tangent to F Cx) = cos? x - Sin? (x) at X 3r %3D 4

A: To find the equation of the tangent line at x=3pi/4.

Q: QUESTION 1 The graph of y = In x has a tangent line with slope 1 at the point O (1,1) O (e. 1) O (1,…

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Q: Question 4 Given the graph of y = g(x). -2 4.1 What is the area enclosed between the graph of g, the…

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Q: QUESTION 9 Find F"(x), f"(x) and f"(x) for f(x)=-cos(20x) + x?.

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Q: Question 6 Differentiate: y = arccot (x) + arctan 2 + x 1 - 2x 0 1 (E) None of these O:2x O 1-2x

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Q: 7- Sketch the graph of y= cot x over the domain 0< x <2n 4

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Q: According to the ideal gas law, the pressure, temperature, and volume of a gas are related by PV…

A: Where k is constant.

Q: Question#5: Consider the point (x, y) lying on the graph of y = vx – 3. Let L be the distance…

A: From the given data:

Q: Question 4. (3 marks) Verify if the function u(x, y) = sin(2x – y) is a solution of the following…

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Q: QUESTION 5 Find the 2nd solution by reduction of order. y" - 4y +4y=0; y₁ = e²x

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Q: Question 3 Find the point symmetric to about the x-axis. а) О 5 117 b) O 5 2n c) O 2' 3 5 5л d) O 2л…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.