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Q: The current population of a certain bacteria is 5410 organisms. It is believed that bacteria's…

A: Given, Initial population (P)=5410 , Rate of multiples (R)=3 , Triplet in 9 minutes. Therefore n=9…

Q: Find the x- and y-intercepts for the function. x+1 r2+36 f (x) Enter your answers as points, (a, b).…

A: The given function is: fx or y=x+1x2+36   As we know that; To determine, x-intercept, we need to…

Q: NOTE: Enter the exact answer as an improper fraction if necessary. A =

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Given region is bounded by the function y=16x-2x2 and y=0 and rotating about y axis.

Q: Give 5 sample problems for Elimination of Arbitrary Constant (Differential Equation). Provide step…

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Q: Use function composition to determine if f (x) and g (æ) are inverse functions. f (x) = Vx+I and g…

A: f(x)= x+13g(x)=x3+1Let y=f(x)y=x+13cubing on both sidesy3=x+1x=y3-1since y=f(x), so…

Q: 5. A two-pen corral is to be built. The outline of the corral forms two identical adjoining…

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Q: Find u + v, u - v, and 4u 5v. Then sketch each resultant vector. - u = (-4, 2), v = (3, -6) %3D (a)…

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Q: The solution of the differential equation below is dy Зу- + 4x = 0 dx

A: This is a problem of differential equation. Based on the general formula and concept of separation…

Q: Set up the definite integral required to find the area of the region between the graph of y = y = 4x…

A: Topic:- application of integration

Q: Find the slope of the tangent line to polar curve r=5sinθ at the point (5/2,π/6).

A: This question is related to Straight line, we will solve it using given information.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Let's find.

Q: Dwing equations Is an exact different: v = 0 2xydx + (2 + an 1 O

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

Q: This equation is . .differential equation dy y2 dx ху Bernoulli O Separable O

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Q: P(x) Let P(x) and Q (x) be polynomials with the degree of Q (x) greater than the degree of P(x) and…

A: Here we have given that P(x) & Q (x) be polynomial such that degree of Q(x) is greater than P(x)…

Q: This equation s . .differential equation dy y2 .2 dx ху Bernoulli Separable Homogenous Linear

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Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

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Q: ?Which of the followng equations is an exact differential equation +1) dx - xydy 0 2xydx + (2+x) dy…

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Q: Find the length of the curve of the graph of the indicated function. y = In(sen x), between points…

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Q: 10. S(tan x – 1)²dx

A: Topic:- application of integration

Q: Find T(t) and N(t) at the given point. x = e' cos t, y = e' sin t, z = e'; t=0 %3D 1 1 1 T(0) %3D V3…

A: Let's find.

Q: 3

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Q: Give 5 sample problems for Homogenous Coeffiecient (Differential Equation). Provide step by step…

A: Take a homogenous equation and first differentiate then simplify

Q: Find the partial derivative of f(x, y) 8x - 2xy2 + y3 with respect to x at the point (2, 1, 61).

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Q: Consider the following affirmations: ) The sum of three prime numbers is an odd number. ii) The…

A: A number  greater than 1 and is divisible by itself and 1 is called prime number. Example of prime…

Q: estion 10 ICLO-1] Three players (one divider and two choosers) are going to divide a cake fairly…

A: Given ,  Three players (one divider and two choosers) are going to divide a cake fairly using the…

Q: The solution of the differential equation below is dy 3y + 4x = 0 %3D dx *

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Q: Find the limit. lim (t i - 8 j+ 1? k) k lim (t i-8 j+t k) = j+ i i+ i 1-2

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Q: Evaluate the indefinite integral. 8 + x*dx + C

A: topic- indefinite integral

Q: | (7x + 4) e dx

A:

Q: Compute f(x)dx (6 points) f(x) = { 2x if x<1 4 if x21

A: In this we have to do the integral of given function so I'm providing hand written solution for this

Q: 3. S sin³ 0 cos³ 0 d0

A: Given

Q: The solution of the differential equation below is dy 3y- + 4x = 0 dx %3D

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Q: If f(x) t*dt then 0. f'(x) ||

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Q: taylor tanox)

A: We have to find Taylor series of tanx

Q: Compute the derivative of the function y = 7 sin-(x) at the point x 3 (Use symbolic notation and…

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Q: _ア-1 x² - 1' y(2) = 2 dx

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Q: 2x and y 4x?. Sketch the region enclosed by y Find the area of the region.

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Q: sin20 6. J 1-cos 0

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Q: Given the curve y = x' and the line y = 2 – x. Find the area of the region bounded by the curve and…

A: Area bounded by the curve y=x2 and the line y=2-x

Q: Use a parameterization R(u, v) of f (x,y) = xe*y to find the tangent plane to f(x, y) at the point…

A: Tangent plane at (x1, y1) to f(x, y) is given by below:

Q: S cosh? 2x sinh² 2x dx

A: This question is based on indefinite integral.

Q: Se* tant e*dx

A: This question can be solved using the concept of indefinite integral.

Q: Jav f(u) /2x² + 12dx takes the form (и)du.

A:

Q: Write an expression for the nth term of the geometric sequence. Then find the i a, = 8, r = n = 10…

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Q: Find a formula for the nth term of the arithmetic sequence. a1 26, d = 8 %3D an

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Q: Find the domain of the rational function. x-5 f (x) = x+8 Enter your answer in interval notation.

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Q: Given a, b e Z, 6 7 0, consider the following affirmations regarding Euclides's algorithm: i) There…

A: We want to choose the correct option.

Q: A test program for grade 10 can generate quadratic functions in a standard form y = ax + bx + c…

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Q: This equation is an example for linear equations dy y + dx x²e* False O True O

A: