Determine whether the following matrix is invertible by finding its determinant. 4 -14 -56

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Q: (a) Show that the reproduction rate goes to zero when the sugar level is low; that is lim r(C)= 0.…

A: r(C)=1.35CC+0.27×10-4Substitute C=0r(0)=1.35(0)0+0.27×10-4r(0)=0

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A: P-Test: The series ∑n=1∞1np converges iff p&gt;1 and diverges iff p≤1 Comparison Test: Let ∑n=1∞un ,…

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A: Given problem:- Integrate f(x, y) = (x + y + 5)-2 over the triangle with vertices (0,0), (4,0), and…

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A: The given matrix is:A=-11-21We need to find A-1

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A: ∂f∂x=4y+5z2∂f∂x=84∂f∂y=4x+6z2∂f∂y=108∂f∂z=10xz+12yz∂f∂z=168Therefore, the gradient is∇f (3, 1, 4)…

Q: Evaluate the integral. 3. [(ax-2-4) dx 2.

A: The given integral,        ∫234x-2-4dx

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A: NOTE: Refresh your page if you can't see any equations. .

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A: Topic = Volume

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Q: 1. Use the four-step process to find f' (x) and then f'(-3) for f(x) = x² - 8x

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Q: Use the provided rectangular and polar graphs for sketching  Sketch the region bounded by the…

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Q: (1) This question is about the extension of the differentiation rules from 1-dimensional space to…

A: We are given  f(x, y) =(yex , ex+y)  and g(x, y) =(xey , ln(xy) )  We have to verify (i) (f+g)'(x,…

Q: Solve th D.E using Exact (6x² – y +3)dx+(3y – x – 2)dy

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Q: f(x) da, where Evaluate S 5æ°, 0<x <1 f(x) =3 62, 1 <r< 2. 2 | f(x) dr =

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Q: Sketch the graph of the following (free hand with size): d) r = sin20 e) r = cos20 f) r = 0 g) r = 3…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

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A: We can solve this as follows:

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Q: 4 Calculate 5xdx, given the following. 4 4 Sxdk =75 Jax=21 665 dx = 21

A: I have stated the used formula in the solution

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Q: af af Find and ds z when f(x, y) = e*cosy, x= 2s - f and y= 3st. af

A: Given problem:-

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Q: Evaluate the expression under the given conditions. 8 O in Quadrant I 17 tan(20); cos(0) Need Help?…

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A: In this question, we need to find the area of the region that lies inside r = 3+2 sin θ and outside…

Q: write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: find the range 1) y = /1 – 2) y = /3– x V1-x

A: Given: 1.y=1-x22.y=3-x

Q: 10. Find the first partial derivatives of the following functions (it is not necessary to simplify).…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: (x'+y' )dx +(2xy+ cos y)dy

A: (x2+y2)dx+(2xy+cosy)dyIt is of the formMdx+Ndy=0where M=x2+y2  ,  N=2xy+cosy∂M∂y=2y  ,…

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A: Follow the procedure given below.

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A: Here we have to solve the given differential equation by the method of undetermined coefficients. We…

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A: Separate variable and then integrate.

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Q: Find real numbers a and b such that the equation is true. a + bi 3D 19 — 6і a = %3D

A: We can find the value of 'a' and 'b' as below

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A: In order to find the displacement we need to integrate the velocity function between the limit of t…

Q: 8. [Geogebra Question] Let f(x) = /1+x³. Use Geogebra to approximate the area under the graph of…

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