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Q: A population of protozoa develops with a constant relative growth rate of 0.7943 per member per day....

A: A population of protozoa develops with a constant relative growth rate of `0.7943` per member per da...

Q: 16

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Q: Study the figure below and give the value of x and y", If the least squares equation is y= 18.9476+1...

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Q: Find the indicated nth derivative of the following functions: 4. 2nd derivative of y = x5e-3lnx ans....

A: Topic -  derivative 

Q: V3 tan A = 1 M 30 150

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Q: For the next six questions, consider the differential equation: y" + 4y = g(x), 9(r) 0 Determine the...

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Q: 2. Let r+1 I <-1 f(x) = { 2– Vr² + 7 [3r – 4] r 2-1 Determine if lim f(x) exists. r+-1

A: Find left and right hand limit and using L hospital rule. (Indeterminate form)  Since left and right...

Q: The Heaviside function is used in engineering applications to model flipping a switch. It is defined...

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Q: Find the maximum of f(x, y) = 4y + 7xy – 4x on the square domain 0 < x < 8, 0 < y < 8. (Give an exac...

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Q: Suppose f(x)=-3x2+2x+2 and a position of particle is moving by s(t) at time t such that: a)Find po...

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Q: 2x Use substitution to evaluate the integral dx (x² + 3)°

A: We have to apply rules of integration to solve the problem Power rule: xn =( 1/n+1)(x)n-1

Q: Use the General Power Rule to find the derivative of the function. g(x) = V7- Sx

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Q: Consider the integral arctan(x)dx where -Is. a<bs I. Making the substitution u=-2x , determine the d...

A: We have to find new function and upper bound

Q: Write the equation of a conic given by x2 – 9y2 + 2x- 54y-80=0 in standard form. (x+ 1)² (y+3)? 162 ...

A: The objective is to write the equation of conic in standard form. 

Q: A trough is 50 ft long and has semicircular ends, with the flat side facing up. The semicircles have...

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Q: Determine all the partial derivatives of f(x,y, z) = y² In(x + 2y) – In(3z) (x³ + y? – 4z) Determine...

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Q: 637 A central angle in a circle sweeps out an area of square centimeters. If the central angle is 2 ...

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Q: You're studying anacondas in tropical South America, and you've decided that a particular environmen...

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Q: Sxsin(3x)dx 2

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Q: Find the average value of f (x, y) = 4x cos(wy) over the rectangle R = {(x, y) | 0 < x < T, 0 <y < 2...

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Q: 3. Evaluate: e-x²+2x dx (Hint: let t = (x – 1)²) %3|

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Q: 4. Perform the following operations involving complex numbers: a. (2 + 7i) + (3 – 4i) b. (9 + 5i) - ...

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Q: Evaluate the following integrals. 1. sec-a dæ cos Va dx Væ csc /æ 2. x2 dx - 3.

A: Integration by parts

Q: plane is flying directly away from you at 500 mph at an altitude of 3 miles. How fast is the plane's...

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Q: What is the second derivative of f(x)=x^2lnx

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Q: Evaluate lim -2x csc (-5x).

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Q: Find the unit vector having the same direction as v = (1, - 3). %3D 1 3. V 10 V10 10 V10, 3. O (1, 1...

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Q: Let R = [0, 12] × [0, 12]. Subdivide each side of R into m = n = 3 subintervals, and use the Midpoin...

A: The solution is given below

Q: as, consider the different

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Q: A yam is put into a hot oven, maintained at a constant temperature of 200'C. At time t = 30 minutes,...

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Q: f(z+h) f(x) For f(z) = V71 + 37, find f '(z) using the definition f '(z) h this, find the tangent li...

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Q: da (cos ( 3x) sin( 2æ)) dæ

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Q: Find the area in the first quadrant that is inside the circle r = 4 sin 0 and outside the lemniscate...

A: We need to find area.   NOTE - As per our guidelines we can solve one question so please upload othe...

Q: cos 2x 6. 4

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Q: Let us try to find where a function is increasing or decreasing given the  following.  1. f(x) = x3−...

A: To find the function is increasing or decreasing in the given interval.

Q: y In(x) ln(y)dx + dy

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Q: Solve for x, y, z and w. (Enter your ansv x + y y + z 3 5 z + w 8 5 (x, y, z, w) =

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Q: Determine the standard equation of the ellipse that satisfies the given properties: center at the or...

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Q: 1. Evaluate: e 3z I = dz (ez + e5z)2

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Q: DETAILS LARAPCALC10 2.2.014. Find the derivative of the function. g(x) = 4x² + 8x³ %3D

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

Q: 1. Find a linear differential operator (of lowest order) that annihilates the given function: flr) -...

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Q: Given the series: 1. k+3 does this series converge or diverge? diverges converges If the series conv...

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Q: One leg of a right triangle is 6 inches longer than the other leg. How long should the shorter leg b...

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Q: 3. Find the vertex form of the parabola tnat passes through the point (-1,2) and has a vertex (0,1/2...

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Q: Find the minimum value of the function f (x, y) = 16x² + 81y? subject to the constraint xy = 1.

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Q: 43. Using the method of undetermined coefficients, write the form of the assumed particular solution...

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Q: The equation given by 4x² – y? = 16 is a/an A parabola B) circle (c) ellipse D hyperbola

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Q: Find the derivative of the following functions, а. F(x)3D etdt F'(x)= 3x+2 b. y= 1+t3 dy . dx *sin(x...

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Q: Use technology to evaluate the given expression. Take 1.3 7.3 A = 1.6 -2.34 5.7 and B = 5.3 0 O 12.9...

A: A=1.6-2.345.744.9012.9 and B=1.37.35.305.56.3

Q: 1 g) E 2п-1 n=1

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...