Solve the compound inequality. 3x+2 ≤ 10 or 2x+1 <-1 Write the solution in interval notation. If there is no solution, enter Ø.

Q: using Polar hatics II, e the carai Find the Q3) By using the polar find region enclosed by y = x²…

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Q: 2. Evaluate the Integrals using the Fundamental Theorem of Calculus. 1. S/4 cos x dx π/4 2. ¹₁ sec²…

A: First I have written the Fundamental theorem of Calculus, using it for given integral and find its…

Q: Find the differential dz of the function f(x, y) = 4y² + x²y-2xy and use it to approximate Az at…

A: Let's find exact value of delta(Z).

Q: the tangent plane of the surface [ x^2+y^2+z^2=14] at the point (1,3,2) O 3 x-6y + 4z = 28 2x+6y-4z…

A: Given problem:- the tangent plane of the surface [ x2 +y2+z2=14] at the point (1,3,2)

Q: the point type of the function [f(x,y) = x^2+xy+y^2 +3x-3y+4 ] is Relative Minima O saddle point O…

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Q: Relative

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Q: 16. Evaluate ft tan5 x sec¹ xdx.

A: We know that Sec²x = 1+ tan²x ∫ xn dx=( xn+1)/(n+1)

Q: Payroll Rules: ALL HOURS UP TO 35 HOURS PER WEEK PAID AT HOURLY RATE. ALL HOURS OVER 35 HOURS PER…

A: Juan paulo :-  Standard pay = 35*15 = 525  O. Pay = 5*15*1.5 = 112.5  Bonus = 0.05*(22000 - 10000) =…

Q: Suppose that P₂(x) = a + bx + cx² is the second degree Taylor polynomial for the function f about x…

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Q: dy/dx=x2+3y2/2xy

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Q: 7. find the given general differential solution, using homogeneous equations with constant…

A: Put y = emx into the differential equation and find 'm' . General solution : y=c1y1+c2y2

Q: sin³ x cos2 x dx

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Q: H.W Find the taylor series of the following functions for the given points:- 5- f(x)= a=0 x+2

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Q: 7. Compute the area of the region R enclosed by the curves y = x² - 1 and y = 1- x.

A: We have to find out the area

Q: Solve the following integration corrected to 3 decimal places using: 1. Trapezoidal rule 4 intervals…

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Q: Set up but do not evaluate an integral that represents the volume of the solid of revolution = 2x +…

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Q: 49 - x² Evaluate the integral: dx 8x² (A) Which trig substitution is correct for this integral? x =…

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Q: COS X 1+ sin² x dx

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Q: Let f : R −→ R be defined by f(x) = 2 − 5x. Show that f is bijective, and find (f^(−1))(x).

A: A function f is bijective if f is one- one  and onto

Q: cos(x) 2x+3

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Q: Farklı yaklaşım doğrultuları kullanarak aşağıdaki fonksiyonların (x,y) (0, 0) için limitinin…

A: Find the limit for (x,y)=0,0   using different wayslim x,  y→0,  0x4-y2x4+y2

Q: 1 1 x² + 1 2 dx

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Q: Use the Product Rule to find the derivative of the function. f(x) = 9ex cos x

A: product rule: (uv)' = u'v+uv'

Q: 5 1 1 + 2r dr

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Q: 9. Find the volume of the solid obtained by rotating the region R enclosed by y = -x² + 6x-8 and y =…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: Draw the curve ÷

Q: find the integral from 1 to 4 of (3t^(3/2) i+(t+4)(√t)k)dt

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Q: 5. Use Cartesian coordinates to evaluate [[[ 1² av where D is the tetrahedron in the first octant…

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Q: If possible, choose k so that the following function is continuous on any interval: 7z³-21z¹ z-3 x =…

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Q: 2. Find the horizontal asymptotes of the following functions. 9x2 + 1+ 2x + 1 (a) f(x)= = 4x + 3

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Q: Evaluate this integral:  ∫ 1 to 5 of (4t^(4/3)i+(t+5)(√t)k)dt

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Q: 1 S² = y e2y dy

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Q: Q2: If P(A) = 0.25, P (B) = 0.45, P (AMB)=0.43, draw the Venn diagrams and determine the following…

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Q: The graph shown is f(x) = √√x + 2. 2 + X 54-3-2-1 1 2 3 4 5 -2- 3 What is the integral function that…

A: Using vertical strip

Q: Evaluate the integral. a 6 dx ਚ 2 + a> 0

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Q: 1. Find S [*¹ f(x) dx given ² f(x) dx = 2 and ¹ √ ² f(x) dx = 3

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Q: Find the maclaurin series of the following functions:- 1- e-x 2- 3- sin (3x) 1+x 5- cosh(x) 4-7…

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Q: Hand written plz A 39 year old person has $1,000,000. With this money as a single net premium, he…

A: This is a problem related to insurance calculation. Based on the policy of the insurance and concept…

Q: 1 Use technology to help you sketch the graph of each function for 0≤x≤ 2. a y sinx by=2 sinx c y=3…

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Q: b) Find the area between the 2 curves f(x) = x² + 4- 4x and x - axes and border with the two lines =…

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Q: Let R be the region enclosed by the polar curve r (0) = 2 - 2 sin(0), as shown in the graph. y 1 1 R…

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Q: 2. Find the area bounded by the two curves y=x²-6x²+ 8x and y = x² - 4x.

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Q: Find all solutions of the equation in the interval [0, 27). 2 cos 0+1=0 Write your answer in radians…

A: Given:   2cosθ+1=0   2cosθ+1-1=0-1             {subtract 1 from both sides}   2cosθ=-1   2cosθ2=-12…

Q: xy³ = Let f(x,y)=2x²+y² 1 (x, y) = (0,0) Is f continuous at (0,0) ? Is f continuous at every point ?

A: If limit tends to 0 and function tends to 1 then f is continuous.

Q: [x² x² tan-¹ x dx

A: We will use integration by parts to solve this question.

Q: Match the function with its graph. y = tan tan

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Q: Use the equation = Σ x" for |x| < 1 to expand the function in a power series with center c = 0. - Ex…

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Q: Determine whether the given function is even, or odd, or neither. One period is defined for the…

A: Odd function        f(x) = -f(x)     for all xEven function        f(x) = f(x)     for all xIf…

Q: (a) L ·∞ e-x² dx

A: In this question, we want to write the given improper integral in limit form.

Q: F=cos(x) î+sin(y) ĵ+cos (z) k

A: