4 dx d. f S- 2 x √√4x² 2 - 16

Q: For 9/-3, write the conjugate of the complex number, then multiply the number and its conjugate.…

A: We have given a complex number as  9i - 3  We have to find the conjugate of this complex number. We…

Q: Convert the polar coordinate Enter exact values. F) 5T 6, 6 to Cartesian coordinates.

A: We know that the relation between Cartesian and polar coordinate is  x=r*cos(theta)  And…

Q: Find the divergence of the vector field F - div F = =

A:

Q: and x = 4. y 15 10 5 -5 Find the area of the re -10- 2 4 X

A: To find the area of region bounded by given curve. Given y = -x2 + 8, y=x2 , x = 0 and x = 4.

Q: Find the volume of the solid generated by revolving the region bounded by y=4x-x² and y=x about the…

A:

Q: Rewrite the Cartesian equation y = 4x² as a polar equation. T(0) = Lots for Aif needed.

A: Polar and cartesian coordinate system are related each other as follow x = rcosθy = rsinθ

Q: find the unit tangent vector t(t) to the curve r(t)= when t=0

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Q: x = -3 sec (t), y = 3 tan (t), 4- 2 <t< 2

A: We know that the formula sec^2(t)-tan^2(t)=1

Q: (a) (b) 100 5 010 -5 0017 101 012 000 1 -2 8 0 syster O The system has a unique solution. (x, y, z)…

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Q: Evaluate the definite integral. [962-3 dz

A:

Q: A person's systolic blood pressure, which is measured in millimeters of mercury (mm Hg), depends on…

A: P= 0.005y² - 0.01y + 122

Q: π/4 a. Se 0 310 c. S cos²x sin (tan 1 + t t) Evaluate each definite integral. sin x cos x dx dt TT/2…

A: We solve the given integral.  Repost the 4th part.

Q: PROBLEM NUMBER 13 Evaluate 28-625 +423-2 24 1³ dz.

A: let  J=∫(z8-6z5+4z3-2z4)dz

Q: Evaluate the indefinite integral. 2(8 – 9x) dx

A: Integrate [(2(8-9x)8]dx

Q: Use the suggested substitution to write the expression as a trigonometric expression. Simplify your…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: How do we transform System A into System B? O O O O O 0 O - x Equation [A1] Equation [B1] How do we…

A:

Q: A particle moves in a straight line with velocity t-2-5 ft/s. Find the total displacement and total…

A: v(t)=(1/t^2)-1/25

Q: The point (4,7) lies on the graph of f(x) State the coordinates of the image of this point under the…

A: Given point is (4,7) also, y-2=f(x+1)

Q: Change the Cartesian integral Change the Cartesian integral into an equivalent polar integral. PA dr…

A:

Q: Determine a definite integral that represents the area of the region endosed by r = 5 sin 0. So 4 =…

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Q: A curve with polar equation r = 49 3 sin 0+19 cos 0 represents a line. This line has a Cartesian…

A: To find out the cartesian equation of the given polar equation.

Q: Find the volume of the solid obtained by rotating the region underneath the graph of the function…

A: ⇒ given  f(x)=x2+9,   [0,1]formula of volume(V) is→⇒ V=∫ab2πxf(x)dx

Q: Graph the equations and shade the area of the region between the curv 3. Determine its area by…

A: To graph the equations and to shade the area of the region between the curves. To determine its area…

Q: 3. Use the Taylor polynomials found in part #1a to find the first four terms of the power series for…

A: We have to find the first 4 terms of the given series. According to our guidelines we can solve only…

Q: Find the integral of 12 sin x cos 5x dx if lower limit= 0 and upper limit = π/2. A. 0.2 B. 0.3 C.…

A: As per guidelines, Only one question can be answered out of multiple different questions. Please…

Q: (b) Find the two points on the surface x² + y² + 24 = 2 where the tangent plane is parallel to the…

A: The two points on the surface x4+y4+z4=2 where the tangent plane is parallel to the plane x-z=5.

Q: 2-11: 5-x If they exist, find the x-intercept(s) of the function f(x)=3 Of(x) has no x-intercept

A: For the function, the x-intercept is at the point x where the function f(x)=0

Q: Write the equations (a) (b) in cylindrical coordinates. 6x² − 8x + 6y² + z² = 9 z = 4x² - 4y² 128π

A: a) 6x2-8x+6y2+z2=9 b) z=4x2-4y2

Q: For the series below, (a) find the series' radius and interval of convergence. For what values of x…

A: The given series is: ∑n=0∞ xn

Q: S dx 2 25+ 16x

A:

Q: Use the definite integral to find the area between the x-axis and f(x) over the indicated interval.…

A: The area between the x-axis and the function f(x) in the interval[a,b] is given by the definite…

Q: F. dr. (Check the orientation of the curve before applying the theorem.) Jc F(x, y) = (e2x + x2y,…

A: Green's Theorem ∫F1dx + F2dy = ∬( ∂F2∂x - ∂F1∂y )dxdy

Q: Integrate f(x,y) = √√4-x² over the smaller sector cut from the disk x² + y² ≤ 4 by the rays 0 = H…

A: The given function is:f(x, y)=4-x2We have to integrate the given function over the smaller sector…

Q: The function f(x)=0.06x+100 represents the rate of flow of money in dollars per year. Assume a…

A:

Q: 3. Graph the equations and shade the area of the region between the curves. Determine its area by…

A: To graph the equations and to shade the area of the region between the curves. To determine its area…

Q: Compute f (xy² + x) dx + (3x + y²) dy where OR is the boundary of the region R ƏR which bounded by y…

A:

Q: 4 '6 6x√x + 1 dx

A: Evaluate the definite integral. ∫466xx+1dx

Q: Find the general indefinite integral. Use an upper-case C for | sec²(4/x) x2 dx = upper-case C for…

A:

Q: (a) Determine x³+y³ f₁xıyı = { x=y² 1 9 (b) If if f f is is if x*y² , otherwise continuons…

A: We need to check if given function is differentiable and continuous.

Q: Graph the equations and shade the area of the region between the curves. Determine its area by…

A: To graph the equations and to shade the area of the region between the  curves . To determine the…

Q: 12. Write the augmented matrix of the given system of equations. x-5y = 7 9x+3y = 5 The augmented…

A:

Q: A particle moves in a straight line with velocity 8 - · 4t ft/s. Find the total displacement and…

A:

Q: The isotope of plutonium 238, 3.5 kg of Pu. Part 1 of 2 238 -kt 238 (a) If the half-life of Pu is…

A:

Q: Use Descartes' Rule of Signs to determine the number of positive real zeros of the following…

A:

Q: how do you solve part b using the root test?

A: b) Given series is

Q: 5. Write the first 4 terms of the sequence defined recursively. d₁d-1-1 d₁ = 30 =

A:

Q: 1a. Find the work required to lift a 7 lb block to a height of 2 feet. Answer = ft.lbs 1b. Find the…

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Q: Evaluate the indefinite integral: 2 -12(x³ + x4)² S 5x+4x³ (25+2¹)³ dx +C

A: ∫5x4+4x3x5+x43dx

Q: Determine the intersection of the line defined by [x,y,z]=[2,-5,3] + t[3,0,5], t and the plane…

A:

Q: 1. y"-y = 0, y(0) = 4, y'(0) = 2. Use the fact that ex and e* are solutions of the differential…

A: As per guidelines, At a time only one question can be answered out of different multiple questions.…