R5) If nC5 = nC12 then n =_

Q: Use Euler's method with step size 0.4 to estimate y(2), where y(x) is the solution of the…

A: Here, the given function is: y'=3x+y2, f(x,y)=3x+y2, h=0.4, x0=0, y0=-1

Q: Consider the following integral. fx²√³+1 dx Identify the definite integral that will result after…

A: topic- indefinite integral

Q: d^x d³x db4 dx +3. -27d²x -62- -24x=0 db³ db² db

A: We are given linear differential equation of order 4. 2d4x/db4 +3d3x/db3 -27d2x/db2-62dx/db-24x=0…

Q: R is the region bounded by the functions f(x) = 2e - 1 and g(x)=x²-2. Find the area of the region…

A: R be the region bounded by the curves f(x)=2ex-1 and g(x)=x2-2 on the interval -1,1

Q: 8. The function f(x, y) = x² + 2y + 8y² - 4xy² has stationary points at some of the following…

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Q: Find the exact interest on a loan of $7500 at 13% annually made on July 17 and due November 30.…

A: Given that we need to find the interest on a loan for following interest rate and on time.

Q: Using double integral, the area of the region bounded by the lines y=x y=x/2 and y=2 equal :

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Q: 4. Describe the left-hand and right-hand behavior of the polynomial function f(x) = 2x² +6x² Left…

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Q: xy h) log₂ = Z i) log2 (2/2) =

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Q: Which vector is not orthogonal to ū=? a. C. b. d.

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Q: √x² - 36 dx

A: Reduction Formula :    ∫secn(u)du =n-2n-1∫secn-2(u)du+secn-2(u) tan(u)n-1

Q: 1. 2ydx+x(x² In y-1)dy=0

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Q: Consider the following integral. dx Given the substitution u = x4 - 4, find du. du = ])dx dx Rewrite…

A: The given integral is: I=∫x3x4-4dx   ...1   As we know that; ∫1ax+bdx=1alnax+b+C And…

Q: The doubling time of an investment is the amount of time it takes to double in value. If an…

A: Topic:- algebra

Q: A tank contains 400 liters of fresh water. Brine containing 0.3 kg/L of salt runs into the tank at…

A: We need to find concentration.

Q: Evaluate dy/dx using implicit differentiation.

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Q: Solve y' = 4xy - 2x, y(0) = 20 y(x) =

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Q: Question R is the region bounded by the functions f(x) = 1-3 sin (x) and g(x) = 3 cos (x). Find the…

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Q: The output of a factory is changing at the rate of Q' (t) = 2t³ - 3t² + 10t + 3 units per hour,…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Solution: L-1 {1/s7}

Q: Consider the differential equation y" = ef + xy' where y is considered to be a function of . In this…

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Q: Use Euler's method with step size 0.2 to compute the approximate y-values y(1.2) and y(1.4), of the…

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Q: Evaluate the integrals. x√√1-x² dx a. x X b. I si sin5 -cos-dx 3 3

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Q: Q / Determine the value of b so that vectors 4 = 49-593 V=-2₂0₂-5 w = b5 1₂ 6 are in the same Plane

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Q: The eigenvalues of the coefficient matrix A are given. Find a general solution of the indicated…

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Q: / which of the Following series converge and which diverge? Givereasons for your Answer Σ sechn n=1

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Q: f(x) = , x -1 which the function is increasing, decreasing, or constant. x+2 7. The graph of the…

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Q: At 12:00 noon, there were 200 bacteria present. By 4:00 pm, there were 379 bacteria. If the bacteria…

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Q: {(† - ₹)}₁_^

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Q: 37. If antiderivative of m+p is equal to - 8 X³ √₁+2x² (B) 5 which passes through (1, 2) is…

A: We need to choose correct option.

Q: 5. (a) Find the particular solution of the differential equation x³ = 1-e²t if x(0) = 2.

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Q: 00 country song NR6) If all of the letters in the word PENCILS are used, the number of arrangements…

A: Given ,  If all of the letters of PENCILS are used, the number of arrangement with all of the…

Q: The volume of the solid whose base is region in the xy-plane that is bounded by the parabola y = 12…

A: Concept: To find the limit of x put equate the values of y  The volume of the solid in the x-y plane…

Q: At 12:00 noon, there were 200 bacteria present. By 4:00 pm, there were 379 bacteria. If the bacteria…

A: Suppose N=N(t)=The number of bacteria at time t Where t is time in hours since 12:00 noon

Q: Use multiple application of simpson's 1/3 rule to numerically in- tegrate: f(x) = 8 + 5 sin (x) 0 to…

A: We need to use Simpson's one third rule.

Q: An invoice dated January 15th , in the amount of $12,500 has the following terms: 2/10, n/30.  This…

A: topic- discount calculation term 2/10 signifies if amount is paid with in 10 days,2% discount will…

Q: f(t) = In Itsinx 1-sin x g(x) = x sin ¹3x + √1-9x² G(x) = x In (9 + x²) + 6 tan-¹ (-)-2x

A: Note: Since, in the first function there is a typing error "f(t)", it should be "f(x)" because it is…

Q: Say whether the following statements is true or false 1 x = ²( ² ( ² + 2) = = = √( ²³ sin2t.dt 1. +4…

A: As per the company's guidelines, we are supposed to solve first three sub-parts for you, kindly…

Q: Printegrating Factors (x² - Sin²y) dx + x sin zydy = o

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Q: The half life of a decaying substance is the amount of time it takes for the substance to reduced to…

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Q: A vector collinear to ū= is: a. d. 1,-2,-3> b. -1,2,3 > e. [K C.

A: Solution is here

Q: Evaluate the integral 2 ક્ષ ;-) Sa Say e dxdy

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Q: 13. Solve for x. log₂ (2x + 3) = 2 log₂ (x)

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Q: 4. For the below ordinary differential equation, state the order and determine if the equation is…

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Q: Determine the maximum and minimum of each function on the given interval 9 a. f(x) = x³ - 12x + 2,…

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Q: 5. Evaluate the integrals: a) f(x²-y²)dA where D={(x,y) | -1≤x≤1, -2≤y<2}

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Q: The surface of the sun has dark areas known as sunspots that are cooler than the rest of the sun’s…

A: As per guidelines, we are going to solve only one problem. So please repost the other problems…

Q: 3. Find the inverse of the function: ƒ (x) = 4x² − 5

A: The answer is given below:

Q: Direction: Fill in the blanks with the next step in solving the solutions of the differential…

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Q: 3) The Venn diagram below represents the modules students are taking. . S is the event students…

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