An integrating factor of the linear differential equation is μ(x) = ex Select one: O True O False y' = x - 6y

Q: Relative to an origin O. the points A. B. C have position vectors i. J+k. i+j+0k. respectively. The…

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Q: For the piecewise defined function None of these 2 what should be the value of c so that we have…

A: In this question we have to find the value of c so that f(x) is left continuous at x=1

Q: Let Find fy. f(x, y) = x²y + √√x + 5y

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Q: se the properties of logarithms to expand the expression as a sum, difference, ositive.) logg y5₂7…

A: topic-: algebra

Q: Question 1 function r(t) = (tª In 1, ¹2³, −3e¯³¹). a) Find the integral r(t)dt. b) Find parametric…

A: Here, r(t)=t4ln t, t-32,-3e-3t

Q: Let Z=ellxy-56y and x = 56t6 + 6 and y =sin(s + 56). Use the dz дz Chain rule to find and Ət - ds

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Q: 2. y²dx + (x² − xy - y²)dy = 0 [Answer: (x - y)y² = c(x + y)]

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Q: Suppose that the concentration (measured in gm3) of nitrogen in the soil along a transect of land…

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Q: If 2 cos 2t = 1/5 then sin² t = Select one: O True O False 13 30

A: We can find the answer as below.

Q: Work Problem 1( Let z=(y-x)³, and as(1 t) and y = st². Use the chain rule to compute da and da da

A: Given problem:- Here  z=(y-x)3  And x=s(1-t), y=st2  find using chain rule zs and zt

Q: 22. Use the Rational Zero Theorem to help you solve the polynomial equation 2x17x³ +46x²-43x + 12 =…

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Q: Suppose that f is a differentiable function defined on the whole real number line R and that the…

A: Given: A 'fx' is a differentiable function for x∈ℝ.  Ory = fx…

Q: 8. Use the graph of the function f to find the following: 13 (-5,0) 4 -3 -2 -1 (-3,-2) 3 2 H (-1,-2)…

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Q: If f(x, y) = 2√x² + y² - 16, then the domain of f is the set D = {(x, y)]x² + y² ≥ 4}. Select one:…

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Q: The integral 9 [² 1 x - 1 dx

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

Q: Find the indefinite integral using any method. (Use C for the constant of integration.) 5x + 6x (x²…

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Q: (x-4)(x+4) Find the horizontal asymptote(s), if any, of the curve f(x) = -16 Select one: ○ x = 4,…

A: Option (b)

Q: If  f(x) = 4/x and g(x) = 6/x, find f(g(x)) and g(f(x))

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Q: For the curve f(x) = Find the horizontal and vertical asymptotes. x-4x² +2 x² - 4x +4

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Q: [x² - y² If f(x,y)=2x-2y m if y = x if y=x then:

A: Given the function,   fx,y=x4-y42x-2yif y≠xmif y=x

Q: Activity 6.1.3. In each of the following problems, our goal is to determine the area of the region…

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Q: Consider the following all-integer linear program. Max 1x1 + 1x2 s.t. 5x1 + 7x2 ≤ 37 1x1 + 6x2 24…

A: As per the instruction, we will be answering the first one. Kindly post again for others. Given:

Q: If z = x - 2y, dz and x = 2t, y = 5t, then the value of at dt t = 3 is equal to -8. Select one: True…

A: To determine whether the given statement is True or False.If z=x-2y, and x=2t, y=5t, then the value…

Q: Evaluate the definite integral by the limit definition. L₁x³dx

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Q: Determine the indefinite integral below. S(9x+4)²dx. (9x+4)²dx =

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Q: Evaluate fcos-¹(x) dx

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Q: f (x-2)(x+1)' dx

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Q: If z = x - 2y, dz and x = 2t, y = 5t, then the value of dt Select one: True False at t = 3 is equal…

A: Here, the given functions are: z=x-2y,x=2t, y=5t⇒z=(2t)-2(5t)⇒z=2t-10t⇒z=-8t

Q: 11. Determine whether the given quadratic function has a maximum value or a minimum value, and then…

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Q: Let z = √√√7xy +9y, and x = s³ and y = 1². Use Chain Rule to find dz when t = 1 and s = 2. ds

A: To find out the given partial derivative.

Q: 1 2 x² +6x+18 -dx

A: A detailed solution is given below. We know that, ∫dx(x+a)2+a2 =  1a tan-1x+aa + c

Q: If f(x, y) = 2√√x² + y2 - 16, then the domain of f is the set D = {(x, y) x² + y² ≤ 16}. Select one:…

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Q: The area of the region enclosed by the two curves y=x²-4 and y = x - 4 is given by

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Q: Suppose f'(x) = x² - 1. Then the graph of f is concave upward on 0 (-∞0,0) O (-1,1) (0,00) O (-∞,…

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Q: Choose the domain of the following function f(x, y)= ln(2x - y - 5) O None of the others O D = {(x,…

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Q: Solve -2-55ds a. Ob. 2-5s In 32 C. 25s 5 ln 2 d. 25s 2 In 5 2-5s 2 In 5 +C +C +C +C

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Q: Question interval [0, 12]. Select one: True False If f(x, y) = 3√/16 - x² - y2, then the range of f…

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Q: Let f(x) = 2x - 13. Determine f-1¹(x).

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Q: Determine whether the lines L₁ and L₂ are parallel, skew or intersecting L₁: x = 4 + 2t, y = -5 +…

A: L1 : x=a1+b1t , y =c1+d1t , z=e1+f1tL2 : x=a2+b2s, y =c2+d2s , z=e2+f2sthen Lines L1 and L2 are…

Q: 4 lim z+0x5

A: topic- limits Since denominator is negative, and near to zero .Therefore limit tends to negative…

Q: a) b) exist f(x, y) = x²yesy 8x²+7y² Find the domain of the function f. Show that lim f(x, y) does…

A: According to question,Given Function,fx, y = x2 y e5y8x4 + 7y2

Q: Work problem 2 (1 Let w(x, y) = 5x - 5y - x² + 5y³, x = cos(t) and y = -sin(3s). Use chain rule to…

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Q: (zin z + 5)dz

A: The given integral is [xlnx+5] limit from 1 to 3.

Q: Evaluate fcot (x) cos²x dx

A: The given integral: ∫cotxcos2x dx.We need to evaluate the above integral.

Q: Question 2 [ Given the function xye* f(x, y) = 2x³ +50y² a) Find the domain of f. b) Find exist. lim…

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Q: 3) [A Consider the DE: -(4x³y - 16)dy = (6x²y² – 10)dx. A) Show that the differential equation is…

A: Use exact equation

Q: Which of the following is the partial derivative with respect to x of the function f(x, y)= 4xy + 7x…

A: Given problem:- f(x, y) =4xy+7x+6y-ln(9xy)   To find :- fx(x, y)

Q: Let u = (4,-1,-1) and v= (2,-2, 2x + 1) be two vectors in space. Find alle ER such that u and v are…

A: The given vectors are u=4,x-1,-1 and v=2,-2,2x+1

Q: Let z = √√√7xy +9y, and x = s³ and y = 1². Use Chain Rule to find dz when t = 1 and s = 2. ds

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Q: Find the following using the table below. I 1 2 3 f(x) 1 3 4 f'(x) 4 1 g(x) 4 1 3 g'(x) 2 3 33 4…

A: Given that h(x) =fg(x). We have to find h'(3) that is derivative at x=3. Now, ddxh(x) =ddxfg(x)…