4. For each of the following polynomial equations, determine if x = 1 is a root. (c) 3x4x²+2x-4 = 0 (a) x³2x²-3x - 2 = 0 (b) 2x³x²+x-2=0

Q: Determine the linear function ?f knowing that the slope is 9 and ?(10)=18f(10)=18. ?(?)=f(x)=

A: The objective is to determine the linear function.

Q: Use the properties of natural logarithms to simplify the function. f(x) = In(13x) - In(13) f(x) = ||…

A:

Q: xp (x) soo xu18+tb/22

A: Since multiple questions are asked, I am answering first question

Q: Which of the following is an integrating factor for the differential equation dy/dx-y=1? A 2e B In x

A:

Q: Evaluate the following, where the upper limit is pi/2 and the lower limit is 0: ∫sin9θcos5θdθ

A:

Q: 2 P(x)=x-5x + 2x+8 = (x − 4)(x − 2)(x + 1)

A:

Q: A (В) -3 C -2 -1 O -1 -2 Graph of f' 1 Let f be a differentiable function with f(1) = 3. The graph…

A:

Q: c. y=234* dx In² (2)ln (3).34*.234*+ d. [(z)=nz+z² I'(z)= +2x+1

A: Rule for differentiation  d(ax)/dx  = ax ln(a)

Q: Estimate the slope of the graph at the point (x, y). (Each square on the grid is 1 unit by 1 unit.)…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, points…

Q: The values of x, y for the following matrix equation are x-2y -2 X = 05 06 03 3 0 ]-[-²2₂ 6] [-2…

A:

Q: 10. Use the - definition of limit to prove the limit is 16. lim 6x-2 x-3

A: We need to show by the ∈-∂ definition of limit thatlimx→36x-2=16

Q: dy xy-y+2x-2 dx xy+2y-x-2 y(-1)=-1

A: To find the solution of differential equation

Q: The table shown gives selected values of x for the function h. 6 6.001 6.01 6.1 7 h(x) -7010 -7001…

A:

Q: 26. M8 n=1 (-5)" (x-3)" n2

A:

Q: What is the general solution of the differential equation y"-2y'+y=0? Ay=C₂₁e²*+C₁₂xet (B) There is…

A:

Q: Sketch the graph of the function by first making a tab f(x) = -x + 5, -5 ≤x≤5 f(x) = -x + 5 X -5 -4…

A: Given:-f(x)=-x+5-5≤x≤5nowf(-5)=--5+5=10f(-4)=--4+5=9f(0)=-0+5=5f(1)=-1+5=4f(4)=-4+5=1f(5)=-5+5=0…

Q: The mean of the normal approximation to the binomial distribution is μ = pn. True False

A: The mean of the normal expression to the binomial distribution= E[x] = np Where, n = Number of…

Q: Using the equations below, what is the value of Y, C, T? -0.2 Y + T = 20 -0.6 Y+ C = 70 Y C = 30

A:

Q: 33. Σ &"(x − 2)" n=12

A:

Q: What is the auxiliary equation associated with the differential equation y'''- 3y"+4y=0? (A m³-3m² +…

A: Solution

Q: Suppose the rational function f(x) meets the following criteria, • limc f(x) = ∞ • limc+ f (x) = -∞…

A:

Q: Find the domain and range of the function: f(x) = 3x, f(x) = 6x, −7 ≤ x ≤ 2, f(x) = 6x2…

A: Find the domain and range of the function.

Q: Question 12 What is the degree of the differential equation (y') ²-xy"=1 ? (A) 3 B) 4 C 2 D 1

A: To find the degree of differential equation

Q: Find the center and radius of the circle. (x + 5)2 + (y - 3)² = 4 (x, y) = ( center radius Cleotab…

A:

Q: A. Solve f(D)y=0, where f(D)= D(D² - 1)²(D − 1)³. B. Find L{3e-10t - cosht+t(6/3).

A:

Q: Let lim g(x) = L. Which of the following is necessarily true? A (В D g(x) is continuous at x = a…

A: Given: The given limit is limx→agx=L To find: we need to find the necessarily true statement about…

Q: Let f be the function given by f (x) = cos x - csc x. What is the value of f' (1) ? f' (1) is…

A: Finding f'(x)

Q: 53. Prove the following limit formula for e: e = lim (1 + x) ¹/x x⇒0

A:

Q: 3. If x³y-xy³ = 2 find y' and y" at x=1.

A: Given data:- The given value of x is 1. x3y-xy3=2    ----(1)

Q: √²³(2x − 1)³dx -

A: As per guidelines we can answer only one question at a time. So if you need more answers kindly…

Q: Classify the following as an ordinary or partial differential equation, give the order, degree and…

A: Here we have to find the type of differential equation it's order and degree with linear or…

Q: Zim x²-3x³ +5 X-700 X²4 +12X10+ 5

A:

Q: 19. y = tanh(e*)

A: Given; y=tanh(ex).

Q: 9. For f(x)=2x2, fim 2x²-2<0.05 (he

A: given :fx=2x20&lt;x-1&lt;δ

Q: Q4. Evaluate the following partial integrals: [₁21 -1 (a) (b) 2x - y dx r3x Love -x S dy xy dy

A:

Q: What is the general solution of the differential equation y" - 2y +y=0? A B © (D) y=C₁₂e¹+C₁₂xet y=C…

A:

Q: Which is equivalent to Inlyl=3x + Cwhen y is solved in terms of x? A B c) y = 3x + C y=e³x + C y=Ce…

A: If ln|y|=x  Then we have, y=ex

Q: A utility company burns coal to generate electricity. The cost, C(p)C(p)  (in dollars), of removing…

A: NOTE: Refresh your page if you can't see any equations. . the cost function is

Q: Is the differential equation y2dx + 2xydy=0 exact? A NO B YES

A: To determine whether the given differential equation is exact or not.

Q: 1 1-x d dx

A: Let 1-x = t

Q: Airlines sometimes overbook flights. Suppose that for a plane with 50 seats, 55 passengers have…

A:

Q: ²₁ (3x² - 2x³)dx STT / ² 35 dx π/2 sin 2x 3+cos (2x) (2x³ + x)√2x² + 1 dx

A: As per the guidelines we can solve only one question at a time, so if you need more answers kindly…

Q: ar ar Q4:A: Find and of f(x,y,z)-x-√² +2² dr dy

A: We can find the answers in the below steps.

Q: What is the auxiliary equation associated with the differential equation y'"-3y" +4y=0? (A) There is…

A: solution is given below..option(d) is correct

Q: Question 8 What is the order of the differential equation .x²dy/dx - 2xy"=0?? A) 1 B 2 3

A: The order of the given differential equation is 2

Q: Find the general solution of the differential equation y2dx + 2xydy=0.

A:

Q: a/the derivative of the following function is y=x²-sin x

A: Solution )  y = x2 - sin x  Differentiate with respect to x  dy/dx = d/dx( x2) - d/dx ( sin x )  […

Q: For a binomial test, if pn = 30 and gn=90, what is the value of n? 60 100 O120 150

A:

Q: a/the derivative of the following function is y = x² - sin x

A: As we know that; The Sum/Difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 And the common…

Q: Question 13 What is the general solution of the differential equation y" - 2y'+y=0? y=Cu +Cre B…

A: