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Q: B. A certain culture is able to sustain 100 colonies of bacteria. Initially, there were 10 colonies…

A: We need to find colonies after 24 hours.

Q: sin:

A: This question is based on Partial diffrentiation.

Q: If the tangent line to y = f(x) at (4, -14) passes through the point (2, -32), find the value of f'…

A: Given that y=f(x) is  the tangent line at the point 4, -14. Let, the equation of the tangent line is…

Q: Find the equation of the tangent line to the graph xy^2 − 2y = x^2 at the point (2, −1).

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: Suppose the population of spiders in a sanctuary grows exponentially. After one day, 
there were 50…

A:

Q: 1. A boy is blowing a spherical balloon at a rate of 50 cm /s. At what rate is the radius of the…

A: This question is based on application of derivative.

Q: (-1)"n+ a) Is the series >, n5 + n + 1 n=1 convergent, absolutely convergent or divergent? justify…

A:

Q: x2 +1 dx = (x³ + 3x +6)

A:

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: Give a formula for an antiderivative F(x) of f(x) = In(x)(tan¬1 vx) such that F(3) = 0. 1)

A: This is a problem related to differentiation of the function. Based on the product rule we will…

Q: 8. A limit exists if both the right-hand and left-hand limits are equal. 9. The acceleration…

A: Given :   Limit rule, acceleration, quotient rule

Q: Evauate (x²+9²) dxcky

A: Solution is given below:

Q: Solve f (5x + 6)eª dx using Integration by Parts. Use u = 5x + 6 and v' = e".

A:

Q: L(sinh at)

A:

Q: Show complete solution. Please make sure that your handwritten is readable. Thank you

A:

Q: A survey of 48 people was conducted to compare their self- reported height to their actual height.…

A: Given that a survey of 48 people was conducted to compare their self-reported height to their actual…

Q: timear

A:

Q: Find g(x) given that g'(x) = cos x and g(π/2) = 4.

A: Given; g'(x) = cos x and g(π/2) = 4.

Q: Find the center-radius form of the equation of a sphere which circumscribes two externally tangent…

A:

Q: 39. An airplane travels due east for 2 hours, at 320 miles per hour. Then it changes course to S27°…

A:

Q: 4 2 0 2 6 8 -4 -2 4 lim Given the graph of the function f above find f(x) X-2 A) 3 B) -i C) 2 D) 4…

A: We will find the correct answer.

Q: 15. Estimate the value of dr using a Riemann sum with 4 subintervals with left and right endp 16.…

A:

Q: Evaluate the definite integral of the following: a. ∫0π/2 cos(2x/3) dx Read as: The integral of…

A:

Q: -( s-1 ) = e' cos(At) s2-2s+5 The value of A is

A:

Q: Q1// Solve the following differential equation: dy x² + 3y dx

A: Topic:- solution of linear differential equations

Q: An emply container is filled with liquid. The height of the liquid in the container is x cm and its…

A:

Q: sec (3x). tan (3x) da 1 sec (3x) + CO 3 sec (3x) + CO 1 tan (3x) + CO tan (3x) + CO

A: We can answer the question as below as below.

Q: The following triple integral gives the volume of the solid that lies above the xy-plane, under the…

A:

Q: For the sequence an = an –1 + an – 2 and a1 = 2, a2 = 3, its first term is its second term is its…

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: Find the radius of convergence and the interval of convergence of the series. n!x" 1.3.5 ... (2n –…

A:

Q: sinh x - 1 dx cosh x

A: We can find the answer as below.

Q: 3 p Show that the area of an equilateral triangle with sides p cm is A = 4 If the side is changing…

A:

Q: For the curve defined by 7(t) = 4 cos(t)i + 4 sin(t)j + 3tk evaluate | F"(u)||du S = to find the arc…

A:

Q: State the domain, vertical asymptote, and end behavior of the function. h(x) = – log (3x – 7) + 6…

A:

Q: Solve for x by converting the logarithmic equation to the exponential form. log(x) = 4 x=_____

A: log10x=4⇒x=104⇒x=10000

Q: In a particular very small region, the consumer price index, C, depends on the current value of…

A: Let's find.

Q: y = 1/x 2 2.

A:

Q: 5. When simplified, -(-i-v)-3(-27-4v) equals 7ü+13v

A:

Q: Complete the table by Identifylng u and du for the Integral. u = g(x) xp (x),6 = np | (tan(x)…

A: We have to find the integral

Q: f(x+h)- f(x) 4x3+9x+5 Using lim0 Find the slope of the tangent line y = Зx-8 h at x = -1.

A:

Q: Problem #7: A rectangular garden is fenced on three sides, and the house forms the fourth side of…

A: We have to solve as per the above conditions.

Q: A linguist studying the spread of new words and slang observed that the number of daily occurrences…

A:

Q: Lagrange Multipliers will be used in order to solve the following: Maximize f(x, y, z) = 4.x + 2y +…

A:

Q: Lim (x- 7).tanx

A: Use limit concept

Q: Determine dydx of function g 1 g(x, y) = cos (Tx/T) + log3 (x – y) |

A:

Q: 4 a Evaluate In 3. b On the axes below, sketch the graph of y = Inx -3 -2 -1 2 3 -2 -3 The graph y =…

A: This is a problem of the function. Based on the formula and concepts we will answer the question.

Q: On a map, Orlando is 178 mm due south of Niagara Falls, Denver is 273 mm from Orlando, and Denver is…

A: Explained below

Q: Use the Table of Laplace Iransform fo find the Laplace Transfom of the given function. a. te-3t +…

A: Note that, according to Bartleby guidelines, we can answer only the first 3 sub-parts in the case of…