What value should be multiplied to (y + x³y³) dx + xdy = 0 to make it an exact? 1 (xy) a. b. (x+y)-3 c. (xy)-3 d. (x + y)² 1 e. (x+y)³ Select one: O a. a O b.e O c. b O d. d e. c Clear my choice

Q: 7. Graph y = 3sec(x+π) - 1 Determine the following: Domain Range Amplitude Period Frequency

A: Topic:- calculus

Q: 5. Write the given number in the polar form 2+2i a) -√√3+i b) (1 + i)18

A: A detailed solution is given below.

Q: choose the correct answer and answer it all

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 10. 2/3 5² √4-9x² dx

A: As per our guidelines we are suppose to answer only one question, kindly rest can be reposted.…

Q: Find the average rate of change of the function over the given interval. R(0)=√40+1; [0,12] AR ΔΘ 11…

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

Q: Given that f(x) = 6 -√²+1 and g(x) = x - 7, find: 2 a) (fog)(-2) b) (fog)(x) = 6-√(x-7)²+1

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Q: 9. Find the first four non-zero terms of the Taylor series for f(x) = - centered at %3D

A: We have fx=1x The Taylor series for fx centered at x=a is given by:…

Q: The representation of an even integer is 2k; and that for odd is 2k+1 or 2k-1 for some integer k.…

A: Given ,the representation of even number is 2k, and that for odd is 2k-1 or 2k+1,for some integer k.

Q: Given that f(x) = (x-7)2 and g(x) = 7 - 4x, find: a) (f + g)(-3)- b) (f-g)(-3)- c) (fg)(-3)- d)…

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Q: 1. Find lim x2-x² 1 x3 8 - 4x +4

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Q: 3 5 -2 4

A: We have given a matrix  Let,  A=35-24 determinant of A is given as  A=3×4--2×5=12+10 A=22 Cofactor…

Q: 3. Consider f(x) defined as follows: f(x) = 5x² + 13x + 6 |x + 2| [4 − 3x] + x, 2 x<-2 x ≥ −2…

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Q: 2. Find lim (3x° + V9x6 − 2x3) 第→○ 2

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Q: Find the length of the curve. r(t) = (0) - (10, 1², 12³), 0 = 6 0 st≤ 1

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Q: The population of bunnies on Grassygreen Island, B(t), follows the exponential growth model 3(t) =…

A:

Q: y = √x = 1 -

A: Let us take f(x)=x-1. Now,            =12x-1x-1' =12x-1· 1=12x-1

Q: 10. Integrate the Exp./Log. Function (integral calculus)

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Q: I.B. Sketch the graph of a function f satisfying ALL the given conditions. ● • f(-4)= -2 ● The…

A: Information                                             Graphical interpretation

Q: 3 2 1 1 2 3 4 5 6 7 8 9 (Give exact answers. Use symbolic notation and fractions where needed. Enter…

A:

Q: Use a graph off to estimate lim f(x) or to show that the limit does not exist. Evaluate f(x) near x…

A: The given function is: fx=1-cos2x-25x-12; a=1 (b) To evaluate f(x) for values of x near 1 to support…

Q: Solve for x:  log x + 2 log 2 = log 20 - log 10  and show all workings.

A: Solve for x:  log x + 2 log 2 = log 20 - log 10

Q: Find the equation of the plane that passes through the points (1, 0, -1), (0, 2, 3), and (0, 0, 5)…

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Q: 2. Use the different differentiation rules and formulas to determine the derivative of the following…

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Q: Check the fundamental theorem for gradients using the function T = 5sz (2+ sin²4) Pick as your path…

A: The given scalar valued function is Ts,ϕ, z=5sz2+sin2 ϕ. According to the Fundamental Theorem for…

Q: Obtain the DE of the family of circles with center on the line y=x and passing through the origin.…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Use row reduction to show that a a 1 6% 1 с = 62 2 (b − a)(c − a)(c — b)

A:

Q: Q5. Find the directional derivative of the function [f(x, y, z) = xy + y.z+z.x] at the point…

A: Given function:- ⇒fx,y,z=xy+yz+zx

Q: A = -3 0 17 1] 506 803

A: Topic =Matrix

Q: 2x + [2x] x+ 2+ x² + x - 2 Evaluate lim 2x+ [2x] x+ 2 x²+x-2 and lim

A: Given information limx→-2+ 2x+2-xx2+x-2     and    limx→-2- 2x+2-xx2+x-2.

Q: Determine the complete solution for the following differential equation: y"+y+0.25y=0 if y(x) = y(0)…

A: For a second-order differential function, the characteristic equation will have two roots D1 and D2…

Q: The equation of motion of a particle is s= t3 - 27t, where s is in meters and it is in seconds.…

A:

Q: FOCUS ON 1. Use the graph of y = f(x) in the accompanying figure to estimate the value of f'(1),…

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Q: Consider the vectors: • V [2 1 -2] • w = [101] • π = [6 -3 -2] (a) Calculate projžū (b) Calculate…

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Q: Suppose that the functions p and q are defined as follows. p(x)=x²+7 g(x)=√x+8 Find the following. =…

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Q: 4. Find the value(s) of x when f(x) = 5 ln(x) is normal to 3x + 4y = 3.

A: Normal to curve means the straight line and the tangent to the curve are in perpendicular.

Q: dentify and sketch the domain of f(x, y) = √x-y In (1 + y - x²)

A: solution is given below

Q: Find k so that the function f(x)= 2x+5 if x ≤2 kx +1 if x > 2 can be defined so that it will be a…

A: Given function, f(x)=2x+5               if x≤2kx+1                if x&gt;2

Q: Find the difference quotient Ci f(x) = 5x²+6x 1:G f(x+h)-f(x) h much a poccible F where h#0, for the…

A:

Q: Evaluate the piecewise defined function at the indicated values. if x≤6 6x-3 if x>6 f(x) = 0 - {²x-3…

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Q: B: use Lagrange interpolation formula to determine the relationship between the force and velocity…

A: By using Lagrange interpolation formula to determine the relationship between the force and velocity…

Q: Solve the Differential equation In x A 비 dy by separating the variables.

A: The given differential equation is: ln xdxdy=xy

Q: y²dx + x(x+y) dy=0 A xy²=c(x+2y) B x²y=c(x+2y) C D xy² = c(2xy) x+y²=c(2xy)

A:

Q: Q5- Sketch the region of integration and evaluate the integral: √3 2 ²² edydx

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Q: Evaluate lim x-2+ 2x + [2x] x² + x − 2 2x + [2x] 2 x² + x - 2 and lim x

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Q: verify that det(A B) = det(B A) and determine whether the equality det(A + B) = det(A) + det(B)…

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Q: You are given the following function. f(b) = b + √b (a) Find the derivative of the function using…

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Q: State the number of complex roots of each equation. Then find the roots and graph the related…

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Q: Evaluate 1 lim x+h h 1 X

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Q: 1. A single-lane street 10 ft wide goes through a semicircular tunnel with radius 9 ft. How high is…

A: Concept: As we know that the equation of the circle is represented by x2+y2=r2 Here y is represents…

Q: 2x + [2x] ate lim x+ 2+ x²+x-2 and lim x+ 2 2x + [2x] x²+x-2

A: Topic:- calculus