26 24 22 20- 18- 16- 14 12 10 8 6- 4 2 2 Estimate the instantaneous rate of change at x = 2

Q: 1. Draw the graphs of the following functions, and evaluate the are between the curven over the…

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Q: Answer TRUE or FALSE for each of (a)-(e). No justification is required for this problem. (a) {3} ≤…

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Q: Prove that there are no integer solutions to the equation x2 = 4y + 3

A: Given equation:- x²=4y+3  We have to prove that the given equation don't satisfy integer pair of x…

Q: Solve the following LPP using Simplex method.     Max P = 12X + 16Y     Subject to:            10x…

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Q: find: de So 2-cose using sediment theorem

A: Solution :-

Q: A = {x: - 2, -1,0,1,2,3}, B = اذا كانت g: A + B بحيث {y: 0,1,2,3,4,5,6,7}, g(x) = 5 - x2 فأن المدى…

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Q: Resuelva yDx - 2(x + y) Dy=0 x² + 2y = cy² Ox+2=cy² O x + 2y = cy² O x + 2y = c

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Q: 3.) f(t) = ½ (4-3) ² u(1-3)

A: Laplace transform of the function

Q: Se X ết Sinrd Secose da dx

A: We will use integration by parts to solve the integral .  ∫uv dx=u∫vdx -∫dudx∫v dxdx

Q: (x² - 4xy - 2y²2) dx + (y² + 4xy - 2x²) C

A: given ODE x2-4xy-2y2dx+y2+4xy-2x2dy=0

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Q: An automobile tire manufacturer collected the data in the table relating tire pressure x (in pounds…

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Q: Use the simplex method to solve the linear programming problem. Maximize: z = 2x₁ + x₂ subject to:…

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Q: Determine if the integral [Inxdx converges or diverges.

A: An integrals will be divergent if the associated limit either doesn’t exist or is plus or minus…

Q: Apply the Gram-Schmidt orthonormalization process to transform the given basis for R into an…

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Q: 3. Convert the following Linear Programming problem into Standard LPP form. Minimize P = 5x1 - 10x2…

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Q: Natalie put seed in a patch of her backyard for a new lawn. The area seeded is 450 ft.2450 ft.2 and…

A: The total area is 450 ft2. And the seed costs $0.15 per square foot. So, the total cost for the seed…

Q: Problem 7. The base of a 50-foot ladder is being pulled away from a wall at a rate of 10 feet per…

A: Let us solve the given problem in the next steps.

Q: For the following functions (a y = In(x² + 4) -x tan¹ & Of 15

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Q: See the points D(4,-2,5), E(-1,3,5), and J(4 + 2√3, −2 − 2√3, 5+ 2√2), and the line / with symmetric…

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Q: Question 5: The following data points are given. Determine a function w=f(t) (t is the independent…

A: It is a statistical problem and let us find the function that best fits the given data in the next…

Q: Q 1 Find all points in the first quadrant where r = 2sin(30) and = 1 intersect. r=2sin(30) +

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Q: x²y" + 2xy + (x² − 1)y=0.

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Q: Find f(0) from the next table by (F. D. D) method X -1 1 3 5 Y=f(x) 3 5 -7 0.7532 O 0.6321 O 0.5326…

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Q: create a polynomial p that has the desired characteristics. You may leave the polynomial in factored…

A: Consider a polynomial px with solution px=0 are, x=±3, x=-2, and x=4 It is known to us that if x=c…

Q: Let f(x) (x² + 1) cosh x² 1. It's true that Of is an infinitesimal, non-comparable with 1 ○ 13 24x4…

A: As per the question we are given a function f(x) and we have to investigate its asymptotic behaviour…

Q: (d) Explain why the other sequence is neither an AP or a GP

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Q: The smooth vector-valued function P(t) satisfies P(2)= (−4, 8,−7), P′(2)= (0,-5,2), and P’’(2)= (3,…

A: As per company guidelines i am solving first question please resubmit the question for next one…

Q: Q2 Find the points of intersection of the polar curves r=1+cos 9 and r= -cos

A: Point of intersection of the Polar curve

Q: 2 f(t) = ½ (4-³)² u(t-3)

A: As per the question we have to find the graph of the Laplace transform of the following function :…

Q: The matrix: all a12 A = a21 a22 is the inverse of the matrix given by: B 3-(d) ie: A = B-¹ Find the…

A: Sol

Q: How can the unit circle help us find the exact values of trig expressions involving special angles?…

A: To show how trigonometric expressions can be found using Unit circle.

Q: 3 Eigenvalues and Eigenvectors Represent the matrix A as A = V-¹AV, where A = diag(A₁..... An) is…

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Q: For the following functions (a y = In(x² + 4) -x tan¹ dy dx XI2

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Q: 2x - sin 2 α -1,38=0

A: Given: 2α-sin2α-1.38=0 To find: Value of unknown α.

Q: Q4. Check to see if the following integrals converges . 00 1 ∞ ek Σ (b) ΣΞ (c) Στ 1 k=11+9k? kΞι (k…

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Q: The particular solution of the differential equation: (x + 2)² d²-(x + 2) dx +y = (b + 1)(b +…

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Q: 4. Evaluate the functionf(x) = x² + 1 and g(x) = x - 4. Find a. (fᵒg)(3) b. (gᵒf)(1)

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Q: Find a suitable method for integration of Sin (x²) x = 0,√ using a two-point sample of Sin (x²) x =…

A: We have to find the integration I=∫0πsinx2dx let f(x)=sinx2 For ∫abf(x)dx, two point formula is…

Q: (1) I= (2) 1 = z²dz, C: z(t) = t² + it (0 ≤ t ≤ 1) zdz, C: z(t) = t² + it (0 ≤ t ≤ 1)

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Q: Find the determonant of the matrix A 1 2 1 -21 -1 -2 -1 4 2 1 3 2 L-2 1 2 -31

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Q: Let y'= - ty + 0.1y³ and y(0) = 0.70. Use Euler's method to find approximate values of the solution…

A: Let us find the approximate values of the solution of the given initial value problem by Euler's…

Q: The integeral S 0 S cos tdt for x = 0.9 is approximately equal to 0 (Type an integer or a decimal.)…

A: Given: ∫0xcost2dt To find: The value of integral given integral when x=0.9 using appropriate series.

Q: 10) Consider the oriented curve C, which is the intersection, in the first octant of the surfaces…

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Q: \3 // Problem 15. Solve the triangle ABC, if b = 121, c = 160, ZB = 40°. Assume 44 is opposite to…

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Q: Q2 Find the points of intersection of the polar curves r=1+cos and r= -cos

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Q: Q1 Rewrite the polar equation r= 2sinecose in Cartesian form-

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Q: Consider the initial value problem y' = y(2-ty), yo = y(0). Observe that for yo = 0, y = 0 is an…

A: Given, initial value problem is: y'=y(5-ty) with y0 =y(0) and equilibrium solution for y0=0 i.e.,…

Q: Determine the i - component of the cross- product for the two vectors: x = ai+bj+ck and y = di+ej+fk…

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Q: Kim is having a party for 24 people and is serving hot dogs. Each person will eat 2 hot dogs. How…

A: Sol