Use the following information to determine sin(2x). Answer 3 cos(x) = and sin(x) is positive 4 sin(2x) =

Q: Solve the quadratic equation by using the quadratic formula. 4x² + 5x+3=0

A:

Q: 3. a. b. C. d. Let f(x, y) = et and R be the region bounded in Quadrant I by the curves y=x², x=2,…

A: The region bounded by curves y=x2,x=2 and y=0

Q: t S 0 √5+t 2 - dt

A:

Q: Part b

A:

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A:

Q: S dx 2 25+ 16x

A:

Q: Solve the following linear system of equations using Gauss elimination with partial piv- oting…

A: 8x2+2x3=-73x1+5x2+2x3=86x1+2x2+8x3=26

Q: 9. Evaluate the following series: 7 (-1)^(6k) k=3

A:

Q: π/2 • 2 sec ( S TT/3

A:

Q: a) Find y' = dy using implicit differentiation. dx 8y e = dy = dx tan x b) Find the derivate of the…

A: (a).The given function is: e8y=tanx

Q: Determine whether or not the vector field is conservative. If it is conservative, find a function f…

A:

Q: Integrate x cos (2x + 7) dx. sin(2x²+7)+C cos(2x²+7)+C A B. (sine) C. 4 (x²+7) D. sin(2x²+7)+C…

A:

Q: [² sin 4 0 √3 x cos x dx = x√x² + 1 dx = Use u-substitution to evaluate the following integrals:

A:

Q: Write an equation (any form) for the quadratic graphed below 5-4-3-2 32 -2 12 to वॅ

A: The quadratic function in the vertex form is of the form  y=ax-h2+k  ...(1)

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

A:

Q: Find the slope of the tangent line to polar curve T = 5 cos at the point (57)

A: We have to find the slope of the tangent at given point.

Q: Evaluate the indefinite integral: f (In x)7 da S X <- +C

A: The integral is ∫lnx7xdx To determine: the solution of the indefinite integral.

Q: Water flows into an empty reservoir at a rate of 2400 + 10t gal/hour. What is the quantity of water…

A: Water flows into an empty reservoir at a rate of 2400+10t gal/hour.  To find the quantity of water…

Q: 16.3 #8

A:

Q: Use the Shell Method to compute the volume obtained by rotating the region enclosed by the graphs as…

A: Region: y=x2+1-2, y=2-x2+1-2, x = 7   The volume is to be computed using the Shell Method by…

Q: Solve the given initial-value problem. *-(3-2)x - (³). ×(0) - (-9) › = 4 X' X 2t x(t) = 15(1, -1)…

A:

Q: PROBLEM NUMBER 6 Solve 3y²+x=0, where y=5, when x = 0.

A: We shall use separation of variable then direct integration to solve IVP

Q: π/2 b. 2 sec (20) tan (20) de π/3

A: Solve by u substitution ∫π3π22sec(2θ)tan(2θ)dθ

Q: 1. For each of the following functions, find all the critical values. Be sure to find all critical…

A:

Q: Given the function g(x) = 8x³ − 60x² + 144x, find the first derivative, g'(x). g'(x) Notice that…

A:

Q: Determine a definite integral that represents the arc length of r = 8 + 4 sin(0), 0≤ 0≤ 2TT. 2T 1.²…

A: r= 8+4 Sin(theta).

Q: Use the Shell Method to compute the volume of the solid obtained by rotating the region underneath…

A: SOLUTION:-   We need to use the Shell Method to compute the volume of the solid obtained by rotating…

Q: off off (ii) Find Ах2 Әх ду ду? (iii) Hence using (i) and (ii) find the second order Taylor…

A:

Q: The series Σk-o_gk 100 (-1) k is convergent. How many terms do we need to add in order 11 to find…

A: We have to find the number of terms required to get sum correct to 3 decimal places.

Q: 25. [2.x² 2x² + y² = 18 = = 4 xy =

A:

Q: Integrate the function f over the given region. f(x,y) = xy over the rectangle 6 ≤x≤10, 4sy≤8 OA.…

A: given f(x,y)=xyover rectangle  6≤x≤10, 4≤y≤8

Q: The function f(x) = −2x³+42x² −270x +9 has one local minimum and one local maximum. This function…

A:

Q: Find the average value of f(x,y)=xy over the region bounded by y=x² and y=56x.

A:

Q: Find the outward flux of the vector field F(x, y, z) = So: the surface of the box bounded by the…

A:

Q: Determine the most possible complex zeros of the following function: f(x) = 3x¹ + 6x¹4 - 7x¹5 + 13x…

A:

Q: In x dx X f. fe"

A: I=∫elnxdxx

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

A:

Q: Find the volume under the surface z = f(x,y) and above the rectangle with the given boundaries. 4 X…

A:

Q: Compute the volume of the solid bounded by the given surface. z=x+1, z-y-2,x=y²-2,x=y

A:

Q: 5. Consider the following graph. This graph represents the DERIVATIVE of f. Answer the following…

A: We need to find interval of concavity and local max.

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

A:

Q: 4 d. f- S- dx 2 2 x√4x16

A: I=∫24dxx4x2-16

Q: -Evaluate fx(x-5)¹²dx. A. 0.456 B. 0.556 C. 0.656 D. 0.756

A:

Q: Find the area of the region bounded by the given curve: r = 9eº 2 on the interval ≤ ≤ 2π. -π 9…

A: given, r=9eθgiven interval is 29π≤θ≤2π

Q: π Determine the slope of the tangent line, then find the equation of the tangent line at t = 6 x = 2…

A:

Q: w"-8w' +16w=64t+112, w(-1)=3, w'(-1) = -1 Click here to view the table of Laplace transforms. Click…

A: To solve the IVP using Laplace transforms

Q: Consider the following system of linear equations. -5x+20y=-40 -9x+40y=-80 Solve the system by…

A:

Q: Evaluate ƒ ™²+³x+5 dx x+1

A: Given indefinite integral ∫x2 + 3x + 5x + 1dx

Q: 3) Suppose two coordinates are A = (3,-4,-1) and B - (0,3,3). Let a and b be the position vectors…

A:

Q: Find the rate of change of the volume of the increasing radius of a sphere when r=11. V=4/3*pi*r^2.,…

A: