Find Vz. = = sin(4y² - 6xy) NOTE: Give your answer in unit vector notation; that is, in terms of i and j. Vz=

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A: Given vectors are as  a→=2i-j+3kb→=(5-1)i+(1-1)j+(-1-1)k     = 4i-2k c→=i+j+3k    c) Projection of…

Q: Geometry A wire of length x is bent into the shape of asquare.(a) Express the perimeter p of the…

A: Given: A wire of length x is bent into the shape of a square. (a) To express the perimeter p of the…

Q: Which of the function is not an exact equation of the first order?

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Q: f(x)= (ln x)^3 f'(x)=

A: Given, f(x)= (ln x)^3

Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

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Q: For the piecewise linear function f(x) graphed below, find the following. (If an answer does not…

A: Given: To find: limx→2- fx , limx→2+ fx, limx→2 fx

Q: Which of the function is not an exact equation of the first order? A. (e³ + ycosx)dx + (xe³ + sinx +…

A: We have to find which of the following function is not exact. We

Q: Determine the degree, order, and whether it is linear or non-linear (y") ³-4y²=105x

A: Determine the degree,order, and whether it is linear or non linear

Q: Find the limit of each of the following sequences, using L'Hopital's rule when appropriate. √n Vn+1

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Q: Obtain the differential equation whose general solution is y = ₁ + ₂³x

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Q: The rate of change of the variable y in terms of another variable t is equal to the expression 5t4 -…

A: Given, dy/dt = 5t4-3et+2 And conditions y= 1  and t=-2

Q: What is a suitable integrating factor that can be used to solve the equation dy dx O A. O B. 3 ex…

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Q: lim h→0 f(−4+h)-f(−4) h

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Q: Find the derivative: f(x) = (4 sin x + 8 cos x)tan -1 X

A: To find the derivative of given function.

Q: Which of the equations below is a second order nonlinear differential equation? O A. 2 ¯\x²y - (1 -…

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Q: Evaluate the following limit: lim x ¹sin(8x). x → 0+ O O lim x-¹ sin(8x) = -8 vant lim x ¹sin(8x) =…

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Q: sin t t lim R t-

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Q: The degree of homogeneity of the function ƒ (x, y) = (x² − 4y²)−¹/² A. 1 B.-1 C. -1/2 D. None of the…

A: The given function is fx,y=x2-4y2-12 We have to find the degree of the homogeneity.

Q: The function s(t) describes the motion of a particle along a line. s(t) = t3 − 7t2 + 6t   (a) Find…

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Q: Shown below is the graph of the flow rate f(t) of a pipe, in gallons per minute. Here, t= the number…

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Q: If (OM-ON) 1/12 - - 5, = ?х M y OA. e5 O B. OC. y5 O D. e-5 O E. -5 then what is the integrating…

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Q: dy What is the IF for solving the linear equation: x + = C0SX,x >0 dx 2 O O O O A. B. D. E. MIN 3x 2…

A: To find IF

Q: Evaluate the following integral. 4x Jetz 4* sin(2x) dx =

A: The given integral is e4xSin(2x).

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Q: The integrating factor (IF) of the equation y' - 2ycot2x OA. sin2x OB. cot2x O C. Lnsin2x OD. CsC2x…

A: To find the integrating factor IF of the following equation,y'-2y cot2x=1-2x cot2x-2 csc2x

Q: Solve for the value of C in the equation: (3xy2 + 2y)dx + (2x²y + x)dy: = 0 when y(1) = 2

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Q: 6. Let f(x) = 4x² - x + 2 √x Find the equation of the tangent line (in the form y = mx + b) at x = 1…

A: To find the tangent line.

Q: Which of the following statement is TRUE? O A. An ordinary differential equation (ODE) contains…

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Q: ating factor (IF) of the equation: - 4x²y + 2xy² + xy + 2y)dx + (2y³ + 2x²y + 2x)dy = 0 e of the…

A: We will find upon multipication which factor make above differential equation exact .

Q: Consider two lines. Line L1 is defined by 1, and Line L2 is defined by y = 3x y = 2x + 4. A. Without…

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Q: lim x→7 x-7 14 x² - 7²

A: SOLUTION-

Q: 111 Solve for the actual solution of y''' = 2x + 1 when y(2) = 1, y'(2) = − 4, y''(2) = 7 X 12 6 X 4…

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Q: Which of the following is TRUE about the differential equation x- dx O A. The equation is…

A: We have to find form of given differential equation.

Q: Which of the following equations is NOT a variable separable differential equation? OA. 2xydx + (x²…

A: NOTE: Refresh your page if you can't see any equations. . check the first DE now all x variables…

Q: Use limits involving to to describe the asymptotic behavior of the function from its graph. (If an…

A: From graph f(x) goes towards 1 at left end of graph

Q: 0 PERTA C 2000 A television camera at ground level is 2000 feet away from the launchin to take off…

A: Let distance between camera and rocket =s ft

Q: 13. Suppose that lim f(x) = 13 and lim g(x) = -7. Find the following limits. X-4 X-4 a. lim…

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Q: Evaluate the following integral. dx √√x². + 2x + 122 What trigonometric substitution will be the…

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Q: Draw the unit circle and then shade in an arc of the circle's boundary with a shaded arc length of…

A: Length of arc, l = r * theta  Where, r = Radius of circle       theta = Angle subtended by arc at…

Q: Which of the following equations is NOT an exact equatio OA. (2x sin y + y)dx + (x² cos y + x)dy = 0…

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Q: Prove that every Cauchy sequence is bounded. Attach File

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Q: Find the 2nd derivative F(x) = 5e^2x F(x)= 3e^-x + 2e^4x

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Q: 5 ft X 0 A pole stands 75 feet tall. An angle is formed when wires of various lengths of x feet are…

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Q: (2) fx sin 2x dx.

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Q: Solve for the value of C in the equation: (2xy¹ey + 2xy³ + y)dx + (x²y4eY - x²y² - 3x)dy = 0 when…

A: uation Given differential equation of the formMdx+ Ndy=0

Q: Evaluate using integration by parts or substitution. Check by differentiating. (2x²-7x) e7x dx √(2x²…

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Q: y=5(x^(2)+3)^(5)+9(x^(2)-1)^(2x) then (dy)/(dx)

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Q: Graph the function y = sqrt(|x|)

A: Given data:- The given function y= sqrt(|x|)

Q: The rate of change of the variable y in terms of another variable t is equal to the expression 5t4 -…

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Q: The integrating factor (IF) of the equation y' - 2ycot2x A. sin2x B. cot2x C. Lnsin2x D.csc2x None…

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