Q₁. Solve the following system of linear equations by using the inverse matrix method. 2x + 3yz9 x+y+z= = 9 3x-y-z = |

Q: Determine the solution of the following first-order separable equation: dy 2xy dx = 1+ y²

A: Our Aim is to determine the solution of the following first-order separableequation given…

Q: Find the derivative of the function using the definition of derivative. f(x) = x³ − 3x + 7 f'(x) =…

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Q: 1. For a certain drug to have the desired healing effect and be safe, the amount in a person's…

A: Concept: A geometric series is a series where every term has a constant ratio to its prior term. A…

Q: 19. lim r-p³ 2-r²+3r³

A: Take r3 common from numerator and denominator and then use the limit.

Q: lim (3a + x) x-3

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Q: Let f(x) = x² − x. Fill in the blank below. - ƒ' (2) =

A: Topic- derivative of function  we are givebf(x)=x2-xand we will use power to rule to find derivative…

Q: Evaluate each of the following expressions using the given table of values. -1 0 1 3 0 1 3 3 2 1 X…

A: From the given table, we need to evaluate the given expressions.

Q: Q13:The absolute maximum value of f(x) A) has no absolute maximum B)-2 Q14: If f(x) = (x²-4)² then…

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Q: 2. Are the planes 2x-y-4z= 10 and x - 2y + z = 4 parallel or orthogonal?

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Q: Find the cross product a × b. a=(2, 3, 0), b = (1, 0, 7) Verify that it is orthogonal to both a and…

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Q: 1 Dominick graphs the equation y = a|x| where a is a positive integer. If Gina multiplies a by -3,…

A: Given, y= a|x| When we multiply the above equation by -3, The new graph becomes, 1) Narrower and…

Q: Activity No. 1: Classification of Differential Equation; Order and Degree of Differential Equation;…

A: 4) y'+p(x)y=Q(x)  5) y"'-3y'+2y=0  6) ?2u/ ?x2+ ?2u/ ?y2+?2u/ ?z2

Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

A: As per the company guidelines We can first three parts  only. Please understand. Kindly repost the…

Q: 3. y₁= x² - 4x + 3 3/₂ = -x² + 2x + 3 y 3. -1+ Y₂ 4 1+1 5

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find a function that satisfies the given conditions and sketch its graph. lim h(x) = -8, lim h(x)=8,…

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Q: Find the average rate of change of f(x) = x3 - 2x + 6 over the following intervals. (a) From 3 to -…

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Q: 2. Let A be the following Matrix: [23³] • Compute the matrices A², AAT and A¹. • Find the numbers p…

A: Given matrix A=13-2-8

Q: As a check on our work in part (a), notice that if we let a = 2, then f'(a) = f'(2) =

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Q: Solve the inequality R(x) ≤0, where R(x) = the graph of the function. 8- x=2 Q Q y=2 G 4x-4 2x - 4…

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Q: A particle's velocity is described by the function v(x) = -3cos (t+) where v(t) is measured in…

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Q: Find the limit. (If the limit is infinite, enter 'o' or '-∞', as appropriate. If the limit does not…

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Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

A: We need to find volume.

Q: 2y² + x = 2x + 4cx²

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Q: 1. Explain in your own words the meaning of each of the following. (a) lim f(x)-5 (b) lim f(x)=3

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Q: Using the given graph of the function f, find the following. (a) the intercepts, if any (b) its…

A: As per our guidelines we are suppose to solve only first three sub-parts of a question. Kindly…

Q: Find the area of triangleABC if <B= 135 degrees, a= 6, c= 2. What is the area?

A: To find the area of triangle ABC, if ∠B=135°,  a=6, and c=2.

Q: Use the Limit Properties to find the following limit, if it exists. +9 6x 7x-9 lim Select the…

A: Topic= Limits

Q: If   3x − 1 ≤ f(x) ≤ x2 − 3x + 8   for  x ≥ 0,  find   lim x→3 f(x).

A: Apply limits to the inequality

Q: Consider the helix r(t) = (cos(-1t), sin(–1t), 3t). Compute, at t= 픔 A. The unit tangent vector T =…

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Q: A population declines according to the model, 30,000(0.95) where A is the population t years after…

A: Topic - Average rate of change of function over the interval Average rate of change of function f(x)…

Q: x+y yeydy = dx

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Q: (a) Find the slope of the curve y=x³-7x at the given point P(1,-6) by finding the limiting value of…

A: Given :Curve : y=x3-7x

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) 2x² + 6x…

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Q: Obtain G.S. [x - y tan-¹)] + x tan-¹) = dx (7) 4 dy 0 O Lnx + Ln sec x dx = C O Lnx + x tan x- x4…

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Q: Find f x²+1 √x3+3x+5 dx

A: Solution of given question is written in below steps.

Q: AR ΔΘ (Simplify your answer.)

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Q: help  From the graphs of f and g in the figure, we find the following. (Assume that each point lies…

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Q: A. Find a function f(x) such that f(0) = 5 and such that the length of the segment of the curve y =…

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Q: 1) s(x) = 2x − 4/x2 + x − 2

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Let f(x) = 5x² - 15x. (a) Simplify f(5+h)-f(5) h Algebraically simplify your answer until you have…

A: Let fx=5x2-15xa To simplify f5+h-f5h.b To evaluate limh→0 f5+h-f5h.c To determine the equation of…

Q: 4. Find the f(x) = = value of the constant b for which f is continuous at x = -1 and determine…

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Q: Find all the solutions of the given system of equations using elimination. 0.5x + 0.1y= 0.7 and 0.2x…

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Q: Find the surface area of revolution about the x-axis of y = 6 sin(6x) over the interval 0≤x≤ 96

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Q: List the interval(s) on which f is decreasing. The interval(s) on which f is decreasing is/are (Type…

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Q: x+y ye dy = dx

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Q: Find the volumes of the solids generated by revolving the region in the first quadrant bounded by…

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Q: Solve for G GS 9dx = (x + √y²-x²) dy

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Q: Suppose an n x n matrix A satisfies the equation A2-2A+1=0. Show that A³ = 3A-21 and A¹-4A-31

A: Given that A2-2A+I=0 To prove that A3=3A-2I   and A4=4A-3I

Q: The equation of motion of a particle is s = t³ - 27t, where s is in meters and t is in seconds.…

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Q: 23. Find the total area between f(x) and the x-axis where f(x) = + x²-0 on the interval [-1,3].

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