Katrina has 32 stamp, some are P3.00 and the rest are P5.00 stamps. The stamps are worth P120.00. How many of each stamp does katrina have?

Q: Q2\ Solve by picard method (up to four approximation) y' + y = e* and y(0)-0 Find y(0.1)?

A: Please see the below picture for detailed solution.

Q: Find the derivatives of the function f for n = 1, 2, 3, and 4. f(x) = x sin x n = 1 f'(x) n = 2…

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Q: Q4) find the soluation of differention equation using exact equation 2) 2xy' = 10 x³y5+ y

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Q: Solve all questions Q1: Find and sketch the domain for each function. 1 1. f(x, y) = In(4-x²-y²) 02.…

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Q: Find the local maxima, local minima, and saddle points of the function, f(x,y) = x³ + 3xy + y³

A: Topic = Functions

Q: Q6) Test the convergence of the following n! 2) En=1 (2n+1)!

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Q: Q2\ By using Adjoint method, find the inverse of the following matrix. [1 0 -31 A= 4 2 -1 LO 3 2

A: As per bartleby guidelines, I can answer only one question. So, kindly repost the question.   2. We…

Q: 5) Find f'(x) given that f(x) = (2x³ + 2x² − 3)(3x³ − 2x² + 4)

A: In this question, we want to differentiate the given function f(x).

Q: dy = y2-y that passes through the indicated points. dx Find a solution of x (a) (0, 1) y = (b) (0,0)…

A: The solution is given in the next steps.

Q: Find the curvature K of the curve at the point P. r(t) = 4ti + 5t²j, P(−4, 5)

A: Given curve r(t)=4ti+5t2j We need to find the curvature at point P.

Q: 63 x dx 3√ √x²+1 S √(x² + 1)² + C Option 1 O (x² + 1)² + C Option 3 213 √(x² + 1)² + C Option 2…

A: We have to evaluate ∫x dxx2+13.

Q: Q3/Find the equation for the tangent plane and normal line to the surface Z = 9-x² + y² at the point…

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Q: Q6A)If y = sin-¹ prove Zyy + 2 = 0

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Q: Express as a single logarithm and, if possible, simplify. log (x²-2x-35) - log (x²-25) log…

A: Using log(a)- log(b)= log(a/b)

Q: You may use a table of Laplace transforms in order to answer the following questions. a) Find L[5]…

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Q: Calculate the derivative d In (t)dt dx 5 using Part 2 of the Fundamental Theorem of Calculus.…

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Q: if (1+i)(x+iy) = 2+4i then 5x is : * O 15 O 10 O 5 O 3 Let z be a complex number such that |z| = 4…

A: To find the value of 5x:

Q: Evaluate O dx dx dx dx A-8- for the equation x+y=6 dx =-0.25 =-0.06 = 16.00 = 0.25 = 4.00 = 65 at…

A: d[xn]/dx = n*xn-1

Q: Q3/: Find the area r=1- cose and over the region R that lies inside the cardioid outside the circle…

A: See this solution I below

Q: Find y'. sin x = x(1+tan y)

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Q: Q:5) A) Use the definition to determine whether the series converges or diverges 530+2 اسور

A: First I have written the Ratio test for Convergences of a series and show that , given series is…

Q: Q5) Solvex+2xy = 3 by using Euler's method to find he approximate solution up to X-2.9 when h = 0.5…

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Q: Which of the following represents the difference quotient for f(x)= -²₂ 2 x(x+h) 2 x(x+h) 2x+h…

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Q: Find an explicit solution of the given initial-value problem. √2 √1-y² dx - √1-x² dy = 0, y(0) = 2 y…

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Q: IF y = u² + 3u² & u = 2x Find d dx 8x(8x^2+3) (64x^3+30x) O 8x(8x^3+3) O 8x(8x^2-3) O

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Q: [₁ F. dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = 2yi + xzj + (x +…

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Q: 5. DETAILS ZILLDIFFEQMODAP11 1.2.012. MY NOTES ASK YOUR TEACHER In this problem, y = c₂ex + c₂e-x is…

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Q: Q4:A/ By using Linear equation solve the first order differential equation y' + sec(x) y = cos(x)

A: Given y'+sec(x).y=cos(x)To find solution Of LDE:

Q: Solve the following D.E sin x- + 2y = tan³ dy dx 2

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Q: y = (x²+4)* Use Logarithmic Differentiation to find dy dx = dy dx

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Q: Q4) find the soluation of differention equation using exact equation 1) (1 + x²)dy+(2xydx)=0

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Q: Find each function value and limit. Use -∞ or ∞o where appropriate. 2x+9 f(x) = 3x-5 (A) f(10) (B)…

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Q: A particle start from the point (4,4) and it's coordinates change by the increment AY=5 and AX= -8…

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Q: Directions: Determine whether rational equation, rational inequa solutions in your activity noteboo…

A: As per the company guidelines We can first three parts   only. Please understand. Kindly repost the…

Q: Direction: Solve the following problem of bounded areas, marks for complete work out and mark for…

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Q: Find the solution of the given initial value problem. ty' + 2y = sint, y = 1, t> 0 Y ||

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Q: 6y²dx − x(2x³ + y)dy = 0.

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Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to…

A: Newton’s Law of Cooling Formula The greater the difference in temperature between the system and…

Q: EIN E14 π 2 cos4 n sin6 n dn

A: Given problem:-

Q: Q4) find the soluation of differention equation using exact equation 1) (1 + x²)dy+(2xydx)=0

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Q: x 2) Discuss the continuity of the graph of f(x) given below on the closed interval [-4, 2] D(-4,6)…

A: This question is related to continuity of functions, we will solve it using given information.

Q: Differentiate. G(x) = (2x² + 7) (9x+√x) G'(x) =

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Q: Q2/ Reversing the order of integration ſª ſªxsinydydx.

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Q: (1) (x²+2x) dx = (3 - In x²) dy separable exact linear in x linear in y homogeneous Bernoulli in x…

A: The answers are in step 2

Q: 3 Q4) Suppose a class contains girls, and boys. Suppose that 40% of the girls have long hair, and…

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Q: The time in seconds, t, it takes for a specific object being dropped from a particular height in…

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Q: Find the general solution of the given differential equation. dy 2 + 6y = 3 dx y(x) = Give the…

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Q: Area of a circle C. Use definite integration to show that the area enclosed by a circle of radius 1…

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Q: Find the first derivative of f(y) = y (In³ y) A. 3 (In y + 1) B. 3 (In² y) C. 3y (In² y) + In³ y D.…

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Q: Determine whether the differential equation (4x² - 2xy + 5) dx + (7y² − x² + 4) dy = 0 is exact. If…

A: The given differential equation is;  (4x2-2xy+5)dx+(7y2-x2+4)dy=0.