3) Show that for any constants M, k, and a, the function k(t – a) y(t) = - M1+tanh 2 satisfies the logistic equation: 2 = k(1- ). M

Q: Given vectors in R3 (2 -1 0),(3 1 2) and ( 1 0 1). They are linearly independent. Select one: O True…

A: To find that the given vectors are linearly independent or not.

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A:

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A:

Q: Solve the problem below. Evaluate the determinant: 1 2 3 -2 -1 -2 3 4

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A: The given function is  h(x,y)=x3-3x+3xy2

Q: J.) Frawate 822-27. 922-9 lim Deser mire the domain 6.) F(x) =「メー %3D

A:

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Q: Let D be the solid unit cube: 0 < x < 1, 0 < y < 1, 0 < :< 1. Let S be the closed surface boundary…

A:

Q: Identify whether the statement represents an exponential function.  The height of a projectile at…

A: We can explain the answer as below.

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A:

Q: A particular city had a population of 23,000 in 1910 and a population of 28,000 in 1950. Assuming…

A: topic- exponential function

Q: olve the equation x y² dy = (5 x³ + y³) dx using Homogeneous method.

A:

Q: angles d. greater than either remote interior angles 2. The two sides of a triangle has lengths of 7…

A:

Q: Question Given f(x) below, find f' (x). f(x) = 'dt Provide your answer below: S) =D %3D FEEDBACK…

A: Given query is to find the derivative of the expression.

Q: 2. (a) Find the exact length of the curve (i) r = 1+sin 0, 0<0< 2n, (ii) r = 2(1+ sin 0), 0<0< 27.…

A: We need to find length of curve.

Q: Find the maximum, minimum and inflection points of the fur y = 3 sin 2x at [0, 1]. %3D

A:

Q: g(x) = "In(5 + t?) dt Ji

A:

Q: 7 1 = xp- Зх-2 du 5. 2 O True O False

A: Given query is to find statement is true or false.

Q: Evaluate the integral In(x) le2 x[ln4(x)-1] e3

A: The integration of the integral is  ln(x)/[x(ln4x -1)] limit from e2 to e3.

Q: Write an equation of the line parallel to x+8y=0​, such that the point ​(7​,9​) is on the line.…

A: Given query is to find indicated line.

Q: sinh x - 1 dx cosh x

A: We can find the answer as below.

Q: Find the area of the region bounded by the graphs of y2 = 4x and the line 2x – y = 12

A: answer is in next step

Q: a) Is the series sin(n) is n³ + 3n2 – 7n + 1 n=1 absolutely convergent or divergent? justify your…

A:

Q: 5) Placido pulls a rope attached to a wagon through a pulley at a rate of q m/s. With dimension as…

A: Let's find.

Q: A certain type of bacteria, given a favorable growth medium, doubles in population every 6.5 hours.…

A:

Q: or Divergence applies to en +2 Σ n=1 n*+6

A: We have to choose the correct option from the given options according to the given information

Q: c) within the first octant, enclosed by x + 2y + 4z = 4. Evaluate following triple integral: Let E…

A:

Q: a) Is the series Σ is Vn + n3 + 10 n=1 convergent or divergent? justify your answers. 8.

A: Dear student, As per guidelines if multiple questions are posted we are allowed to solve only ist…

Q: Jse u = 6x and v' = sin(x).

A:

Q: .

A: We will find the derivative.

Q: A chemical reaction produces hydrogen so that at time t (in seconds) the total volume of hydrogren…

A:

Q: Find the area bounded by the curves y 6x - xand y= x -2x A) 128/3 B) 57/3 C) 64/3 101/3

A: Given problem:- Exit the area bounded by the curves y=6x-x2 and y=x2 -2x

Q: Consider the following integral. dx Given the substitution u = x° - 4, find du. du dx Rewrite the…

A:

Q: Kndly answer immediately   If f ‘(x) > 0 for all x = (a, b), then function f in the interval is a.…

A: topic- derivative of function

Q: Find a point on the curve x' + y = 25xy other than the origin at which the tangent line is…

A:

Q: Consider the vectors ā (2, 3, –1) and b = (4, –9, 6). Find the cross product of a and b

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Q: The general antiderivative determined by - x² - 3x +2 is dx

A:

Q: Find the Directional Derivatives of f (x, y) = e"y at (2, 3) in the v = 3i – 4j direction

A: direction derivative

Q: ř(t) - cos2 sin 2t E

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Q: ) find w=utiv if the function in telm of 2 is (Z-323) (2Z+2) frz) =

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Q: Q2/ Find the Laplace transform of the following function: f(t) = t3 + 3t2 – 6t + 4. %3D

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Q: Marty bought 5 pounds of apples for 98 cents a pound. What was the average price per pound that…

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Q: -n- 2 3n? +n+ 4 Use the root test to determine whether the series 7n converges or diverges.

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Q: 8 dx I (x – 2)(x +6)

A:

Q: 1. The direction vector of a line is an indicator of its slope. 2. The dot product of two vectors…

A: Given  A direction vector of a line is an indicator of it's slope

Q: Find the plane determined by the intersecting lines. y = 2 + 2t L1 x= - 1+ 3t Z = 1- 4t L2 x = 1- 4s…

A: This question can be solved using the concept of lines and planes in three dimensional geometry.

Q: If you can, please draw the grafic of this exercise

A: This question can be solved using the concept of drawing parametric curves.

Q: Question Suppose the following sums are given. 120 120 2 a; = -2 2 a; = -19 i=1 i=44 Compute 43…

A: We have to find sum

Q: Show that the function f defined by 1, (x, y) = (1, –1) f(x, y) = x2 + Y (x, y) + (1, –1) x + y is…

A: