Find the DE: (4D4 - 45D2 - 70D - 24)y = 0

Q: If the average rate of change of biomass (in mg) of a bacteria culture from time t = 1 hours to t =…

A: Ans= 23 mg  For detail...go through the solution...I have solved in detail

Q: Question 2 and B and C Y Consider the function f(x) = 2x + 5x-1. For this function there are four…

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Q: What is the value of tan if the terminal side of angle intersects the unit circle in the first…

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Q: Find the volume of the solid generated when the indicated region is revolved about the specified…

A: To find the volume of the solid generated when the indicated region is revolved about the specified…

Q: Problem: A tank contains 20 kg of salt dissolved in 5000 L of water. Brine that contains 0.03 kg of…

A: Given that , v0=5000a=20b=0.03e=25f=30 find the amount of salt dissolved at t minutes.

Q: Give a solved problem on Area BETWEEN curves. Show complete solution and drawing.

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Q: Textbook Consider the function f(x) = 4x³ 4x on the interval [-4, 4]. Find the average or mean slope…

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Q: Find an equation for the ellipse. Graph the equation. Center at (0,0); vertex at (0,7); b=4 What is…

A: Solution: Center at (h,k) =(0,0) Vertex at (0,7) b=4

Q: Determine the general/particular solution (whichever applies): y"+10y + 21y=0 Ⓒy=c₁e²x+c₂e² 3x…

A: First, find the characteristic equation:

Q: If the average rate of change of biomass (in mg) of a bacteria culture from time t - 3 hours to t -…

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Q: c) Let 5x²y² - 3√x = 4x - 2y. ( i) Using implicit differentiation find dy dx ii) Find the equation…

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Q: Problem: A tank contains 20 kg of salt dissolved in 5000 L of water. Brine that contains 0.03 kg of…

A: Let's find concentration of the well mixed solution after 20 minutes.

Q: -5 (sin³ (cos6dx; us

A: we have to evaluate the integral ∫05sinπx103cosπx106dxlet substitute :-    πx10=u ⇒dx=10πduupper…

Q: 1: y = cosh(ln 4x³)

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Q: Determine the first five terms of the sequence whose nth term is defined as follows. Please write…

A: Put n values starting from 1   put n=1   a1=(1-1)(1-5)(1+5)a1=0for second terrm put…

Q: Find the indefinite integral. (Use c for the constant of integration.) | (41³1) I (4t³i + 6tj -…

A: Given query is to find the integral.

Q: Differentiate with respect to x: x² +2 2 f(x) = O O 4-3x f'(x) = f'(x) = f'(x) = -2x5+ 16x³-2x-7…

A: Given query is to find the derivative.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) J. tan-19x 1 + 81x² dx

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Q: Find the gradient field of the function g(x,y,z) = 8xy + 7yz + 9xz.

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Q: Obtain the particular solution. (HOMOGENOUS EQUATION) 4. xydx + 2(x² + 2y²)dy = 0, when x = 0 and y…

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Q: The difference quotient of the function in the simplest form is a) 1 √x+h+5+√x+5 f(x) = 2√x+5

A: Please refer to the image below

Q: Consider the function f(x) = 7-5x2 on the interval [-6, 8]. Find the average or mean slope of the…

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Q: 8. Find the slope of f(x) = ln(4x) at (7,3.33). Use a graphing utility and round to the nearest…

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Q: Solve

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Q: 6) Solve log(x) + log(x+3) = 1

A: log(a)+log(b)=log(a×b) 10log(x) = x

Q: Find all critical values for f(z) = (2-6) (z+8). The critical values occur at x = Question Help:…

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Q: Suppose that f(x) O a) Ob) O c) 3 (12)+12 3 3(37³12)-1 7 3(3-1)+2 3 d) 3(3-1)-1 - 3 2³12 and g(x) =…

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Q: Question 6 and B Consider the function f(x) 7x + 7x-1. For this function there are four important…

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Q: Multiply. (2√2-3√5) (2√2+3√/5)

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Q: Use only the fact that 6x(4-x)dx=32 and the properties of integrals to evaluate the integrals in…

A: we will  find the required.

Q: 6. Find the volume of revolution formed by revolving the region bounded by y=e", y = e², and x = 1,…

A: Given curves:- y=ex , y=e2x and x=1

Q: 9) Let y = 3 cos(2x-л) +3. a) What is the amplitude? b) What is the period? c) Has it been…

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Q: Find the volume created when rotating the area bounded by y = 6x - x2 and y= 2x around the x-axis.…

A: The given curves are: y=6x-x2      and       y=2x

Q: 4x²-515 3x²+4 -5) 5 y = (₁

A: dxndx=nxn-1,   d(constant)dx=0d dx(ab)=b×dadx-a×dbdxb2given  y=(4x2-53x2+4)5

Q: Differentiate with respect to x: h(x) = tan³x Oh'(x) = 3tan²xsec²x Oh'(x) = 3tan²x Oh'(x) =…

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Q: 4. Expand the following expression using the properties of the logarithms. Assume x and y are…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Introduction to Calculus in Economics (continued): In the previous Problem Set question, we started…

A: Tt

Q: Evaluate the double integral on the given region. [ (5x2 (5x² + 8y³) dA; R:5 ≤ x ≤ 7 and 3 ≤ y ≤4 R

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Q: 9. Find an equation for the tangent line to C(t) = where t = 2. = (6t – t², 6t – t3³), at the point

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Q: If t> 0 and 32 kn, where k € Z, then O True False 32 #C dx 0.5 ¹²] dt (2 log3 t - 1)e t csc² t = (2x…

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Q: QUESTION 14 Estimate the area under the graph of f(x) = 1 + x from x= -1 to x=2 using three…

A: To estimate the area under the graph of fx=1+x from x=-1 to x=2, by using three rectangles and left…

Q: Find the area of the shaded region. Enter your answer as a reduced fraction. =1-² OS -05- 93)=y²-y

A: The objective of the question is determine the area of the given graph of functions.

Q: 1) ( solve the following system using the Inverse Matrix method of Assignment 24. Clearly show the…

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Q: ts) Solve the following system of equations using any method (algebraic or matrix). Show all steps.…

A: To solve the given system of equations

Q: If ƒ(x) = (x6 + 4x²)³, then f(x) equals dx

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Q: Consider the function f(x) = 2x² - 8x + 2, 0≤x≤ 8. The absolute maximum of f(x) (on the given…

A: f(x)=2x2-8x+2     0≤x≤8

Q: D Given: AABC is isosceles. Prove: AD CD is the bisector of the vertex angle. BD Statements AABC is…

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Q: Find the area of the shaded region. Round your answer to three decimal places. 03 06 0 -0.6 -15 -1 A…

A: Figure