Find (dy) and (day) for the following dx functions: y = 2x-1 X+7 3

Q: B- Find the area of the surface generated by revolving the curve y = √2-x² about x-axis

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Q: . What is the range of the function f(x) = 2sin(x + ¹)? d. [-2, 2] a. (0, 2) b. [0, -2] c. (-2, 1)

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Q: Solve the differential g(x) = equation. g'(x) = 6x², g(0) = -6

A: The differential equation is given by g'x = 6x2 The initial condition is, g0 = -6 To evaluate: The…

Q: If w xy O 2y z O 2xy a: N N 1. find wis y

A: Given a multi-variable function w.

Q: Express u = (3,-10) as a linear combination u = rv + sw, where v = (5, 1) and w = (1,−1). (Use…

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Q: Determine the amplitude of the sinusoidal function π -3 sin [2(x - )] +1 3 Y = a) 2 b) 3 Oc) -3 d) 3

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Q: 3. What is the amplitude of the function f(x) a. 2 b. 3 C. 4 = 2sin(4x)? d. π

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Q: Use implicit differentiation to find az/ax and az/ay. x2 + 8y2 + 322 = 9 дz ?х əz ду 11 ||

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Q: Find dy/dv for  y= ∫v0 [(7+8t2)](1/2) dt.

A: Given:- y=∫0v7+8t2dt To find:- dydv

Q: Find y' in x² + y2 = 9. O O 9 -3 y X

A: To find the second order derivative.

Q: The cost, in dollars, to produce a designer dog leashes is C(x) = 7x + 1, and the price-demand…

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Q: The number of male alates (winged ants) in an ant colony has been found to be approximately a linear…

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Q: 3 ³√x - 1 lim X→1 X-1

A: limx→ 1x3-1x-1By L'Hopital rules,=limx→ 113x231Plug in the value x=1=13· 1231=13

Q: The value of the limit A = lim n-x is equal to the area below the graph of a function f(x) on an…

A: Given function limn→∞∑i=1nπ4ntaniπ4n

Q: In the set of all strings of eight uppercase letters (possibly repeated) from the English alphabet,…

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Q: Which of the following is a polynomial function? a) f(x) = sin x Ob) f(x) = cos x O c) f(x) ○d) ƒ(x)…

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Q: solve the differential equation

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Q: (a) Find x, y, z and B, where [0 x 37 A= 1 -3 y; A² = 1; c(4+1) + 3B7 = 2A and I: unit matrix 4 4…

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Q: Which of the following are the first four non-zero terms of the Maclaurin series for f(x) = sin(x²)…

A: Given :fx=sinx2

Q: Find the value(s) of y such that the distance between the points is 6. (-6, 0), (-9, y)

A: Solve for the value of y

Q: 8) Evaluate the indefinite Integral S x ³ √√₁₁ + x ²4 dx

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Q: Use the formula for the sum of a geometric series to find the sum. (Use symbolic notation and…

A: The sum of Infinite Geometric Progression of the form ∑n=0∞an where -1<a<1 is given by 11-a

Q: Find the vector parametrization r(t) of the line L that passes through the points (2, 2, 5) and (6,…

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Q: (b) 1 3 -6 1 -2 05 Find (i) K if C D¹ C = 10K If D= C: third coulum of D and I: unit matrix (ii) a…

A: The given matrix is; D= 1 -2 0       3 -6 1      -2 0 5.

Q: Find the volume of a solid bounded by the paraboloid z² + y² = 4x and the plane x = 5

A: Given Data: Equation of Paraboloid: z2+y2=4x  ........... (1) Plane x=5

Q: 7л Determine the exact value of COS 6 O a) -2 Ob) √3 2 O c) O d) √√3 2 1 /3

A: SOLUTION-

Q: The signal of Micha's Wi-Fi router covers a circular area, whose border is modeled by the equation…

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Q: Solve for x, to two decimal places. 200 = 4(5)* O a) 10.00 Ob) 2.43 Oc) 12.15 d) 1.87

A: The given equation is: 200=45x   As we know from the logarithmic property, logbxa=a·logbx  where…

Q: 44° x= 90 NOTE: The triangle is NOT drawn to scale. Answer the following: Round your answer to 3…

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Q: Solve the differential equation. cos x + y sin x = sin x cos x

A: cosxdydx+ysinx=sinxcosx

Q: 1. Differential Equation 4. d'y dy dx dx² d²x êx 2. Oz² dy 3. ()+(y)-3y=0 dºt 0²t ox4 ox² -+3x=0 + +…

A: The objective of the question is determine the type, order, degree , dependent and independent of…

Q: -5x 4)Find the Taylor Series for e³* about a = 1

A: The given function is e-5x about a=1.

Q: Determine the numerical value of F (2, 3, -1) given the function F(x, y, z) = 2x²y = xz² + 3y²z. y

A: The given function is ; F(x,y,z)=2x2y-xz2+3y2z.

Q: If f(x,y)=x²y³+x4y, find f XX 2y³ + 12x²y 2xy³+4x³y □ 6x²y 6xy² + 4x ³

A: Topic = Derivative

Q: .x = y + dy dr X2 - y²

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Q: Question 32 A circular planetary ring of radius 70000 kilometers completes one full revolution in…

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Q: the first term of a geometric sequence is 3, and the third term is 4/3. find the fifth term. Thank…

A: first term a1=3third term a3=43

Q: 2) Suppose that P is a function defined as P(x) = 4x² - 7x + k, where k is some positive real…

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Q: Question 20 BMW The angle between 0 and 360° that is coterminal with the 1786° angle is Question…

A: The angle between 00and 3600 that is coterminal with 17860is 3460

Q: - What is the equation of the horizontal asymptote of y = 2* — 2? a) y = 0 b) y = -2 O c) y = -1 d)…

A: Given equation y=x2-2

Q: Solve the linear system [x, y, z]= [0, -2, -12] + s[1, - 1, 2] [x, y, z] = [38, 0, -46] + t[3, 1,…

A: Concept: Linear equations: The collection of two or more linear equations involving the same…

Q: A 10-ft ladder rests against a wall at π/4 radians. If it were to begin to slip, when the bottom of…

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Q: TRUE or FALSE Write true if the statement is true and False if otherwise. Write your answers on the…

A: We have to define if the given statements are true or false.     According to our guidelines we can…

Q: 7) Find √ (1/1₂ + 3x + 2) dx

A: Given problem:- ∫4x2+3x+2dx

Q: 3) Suppose that f is a continuous function and is defined on the interval [7,10]. If f(7) = 15 and…

A: if f(7)=15 f(10)=17 w real number  f(w)=15.8

Q: Consider the following. sin(2x) X Create a table of values for the function. (Round your answers to…

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Q: 23. Suppose N is a positive integer, a, -f(n), and f(x) dx diverges. What does the integral test…

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Q: 1. Two small boats are 24m apart. The angle of elevation of the boats to the top of a lighthouse are…

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Q: Find the equation of the line perpendicular to the lines x-1 x+1 쯤 and 1 and 2 == 2-1 2 2 4 3 = y-1…

A: (x-1)/2 = (y-1)/2 = (z-3)/2  And (x+1)/4 =y/3 =(z-1).

Q: Use implicit O dy x ln y dx dy dx dy dx 1 dx || differentiation to find dy/dx if x In y = 3. x ln y…

A: The given term is; x lny= 3.