Find the differential dy of the glven function. (Use "dx" for dx.) 7 y = 3Vx + dy =

Q: Exercise 14.5.1 dz for the the following functions To calculate z = f(x, y) = 2 – 3ry + 2y? I = r(t)…

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Q: x²(3 – 4x)dx 2 -4 |

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Q: 2. Define f, g: R → Ras if x 3 %3D and g(x) = 8x – 1. Flnd f •g and gof.

A: (fog) (x) = f(g(x))                = f(8x-1) =(8x-1)^2  if x<-1                                =…

Q: Г1 2 1 Given A = 2 3 1 4 0 17 x, C =|-2 1 0 and D=[2 1 4]. |-2 0 1 5 В - -2 w 3 4 2 y 3 -2 a (a)…

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Q: Question 4 dx 1 O sec (e² – 1) +C O sec-l(e*) + C sec (e – 1) + C sec™' (e") + C « Previous Quiz…

A: The integration of the integral is 1/sqrt(e2x-1).

Q: Suppose that f(1, y) = 2z² + 2y – zy Then the minimum is

A: We need to find minimum value.

Q: Graph the solution set. XI > 1 OA. -11 -10 O B -11 -10 10 11 Oc. + -11 -10 -6 -3 10 11 O D. + -11…

A: Given that |x|>1 . We need to find out the solution set graphically.

Q: Find the derivative of the function at P, in the direction of u. x- 3y g(x.y) = 2хy +3 Ро(1, - 1),…

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Q: 3. x = y? ,x = -2y² + 3

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Q: 9. State domain, range, y-intersection, and the equation of the horizontal asymptote. y=1.5(2*)+ 2…

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Q: PROBLEM 4: Let A and B be 4x4 matrices with det(A)=5 and det(B)=-2. Compute det(3A?BA").

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Q: The following integral may be solved using substitution. Choose a function u that may be used to…

A: This question is based on indefinite integral.

Q: At t = 0 the tank was empty. (3.9) (s.9) .(12,9) gal min 7 10 min (9,-4) How many gallons were in…

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Q: B. Let G be a group of order 60. Is there exist a subgroup of G of order 24? Explain your answer

A: Given :G be a group of oder 60

Q: 3-Find the area of the surface of revolution generated by revolving the curve y=V .1sxs3 about the…

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Q: 16 3. The value of is: D) A)

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Q: 1) Find the value of C that make the function continuous at x-1? x 1 -

A: We have given piecewise function  Function is continuous at x=1 if  f1+=f1=f1- f(x) = C-x        if…

Q: 8 Given a function: f(x) = (х-7)(х-1) Write down the definition that lim f (x) = L = -1| 8 Prove…

A: see below the answer and explanation

Q: Evaluate the following indefinite integral. dx dx = (Type an exact answer.)

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Q: Consider the function: f(x) = 5x* – 2x³ + 3 Show that there is a value a e [0,2] such that f (a) =…

A: This question is based on continuity of function.

Q: x/2 2. dy Sin x dy +34 2- X 2

A: A detailed solution is given below

Q: Find the following. 5) dx (13,5 + 5) dx = (Type an exact answer.)

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Q: if the Flo)==

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Q: Find the slope of the line tangent to the curve y =x-2x+ 1 at x 1 01 O 1/2 O 1/3 O 1/4

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Q: Evaluate the following integral. Expand the integrand and write the resulting integral. | dx (Type…

A: Given:         ∫6x2x2+9dx   Expand the integrand.      =∫6x2·x2+6x2·9dx         =∫6x4+54x2dx

Q: 4. A ball rolls horizontally off a cliff at 10 m/s. It takes 20 seconds for it to hit the ground.…

A: height = (1/2)gt2 +v0t  but here v0 = 0 for initial  height = (1/2)gt2 height = (1/2)(9.8)(20)2…

Q: -2ln(cosx) 03. lim, »0 x2

A: The given limit is: limx→0-2lncosxx2   As we know that; The Chain rule: fgx'=f'gx·g'x

Q: 1.1 1) lim (2) x3+8 X→-2

A: Given query is to find the limit nofnthe expression

Q: lim,[-6(x - sin' x)( cscx)] CSC X

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Q: Evaluate the integral: V1+ 7xd *Input answer as a decimal. Round-off to 2 decimal places.

A: Given query is to find the integration.

Q: Please

A: We will solve the integration.

Q: sin (x-1) lim x+1 x2+2x-3

A: To evaluate: limx→1 sin⁡(x−1)x2+2x−3 The given limit is of indeterminant form 0/0

Q: To find two real numbers whose sum is 46 and whose product is maximum, we should find the maximum…

A: Here, we want the two real numbers, suppose x and y, such that  x+y=46 And, the produce xy is…

Q: x/2 dy 2. - ५ = sin x dy +34 d x 2- X 2

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Q: You measure 43 dogs' weights, and find they have a mean weight of 34 ounces. Assume the population…

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Q: Evaluate f e 1 dx 3 x

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Q: If matrix B is obtained by multiplying matrix A one row or one column by a constant, then the…

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Q: If matrix B is obtained by multiplying matrix A one row or one column by a constant, then the…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: [[ 12y dA; R is bounded by y = 2-r, y = VT, and y = 0.

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Q: The following integral may be solved using substitution. Choose a function u that may be used to…

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Q: Solve the following differential equation: dv = Vcoto + V³cosece OP

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Q: Evaluate the following indefinite integral. f11 de dx = (Type an exact answer.)

A: To find out the integration.

Q: v 5 0 1 Given A = 2 3 1, B=|-2 w 3 4 2 x, C = -2 1 0 and D=[2 1 4]. [-2 0 1 y 3 [-2 1 a (a) Find the…

A: (a) For that, to find inverse matric of A.

Q: 1 -2 Inx x-1 X lim, 'x→1

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Q: 1-x -x? dy dx -1 J-V1-x² (1 + x + y)² X.

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Q: It is estimated that x months from now, the population of a certain town will be changing at a rate…

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: rounded to the nearest hundredth as needed.)

A: We have to find the producers surplus according to the given information

Q: S(x4 – 4x5

A: Evaluate the integral

Q: sin(4z) 7. lim I-0

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Q: whe'eh -2X Ge -8e ntural exponentioel funebon/ show all steps

A: This can be solved as follows: