Given the equation below, determine two solutions such that 0° ≤0 < 360°. Show how you find your answer without calculating. √√3 sin =

Q: Write an equation for the polynomial graphed below 4 y(x) = la 4- 3 373 a 8

A: The points at which the curve intersects or touches x-axis are zeros of the curve.

Q: Q.3// Solve the following second order differential equation: *+ 25x = 0

A: To solve the following second order differential equation. ẍ+25x=0

Q: The cost (in pesos) of producing x toys is given by x² +100x + 2000, while the price (i pesos) of…

A: The cost of producing x toys is given by x2+100x+2000The price of each toy is given by px=550-0.5x

Q: For the curve y = 3x - 3 find the parametrization c(t) satisfying the conditions c(3) = (7, 18) (Use…

A:

Q: √² xy ds where C is the right half of the circle x² + y² = 9 Evaluate

A:

Q: The force on a particle is described by 8x³+1 at a point æ along the x-axis. Find the work done in…

A: The force on a particle is described by 8x3+1 at point x along the x axis

Q: 1 3 4 3 2 1 1 2 3 + To find the blue shaded area above, we would calculate:

A:

Q: Suppose f(8) = 6 and f'(8) = 4. Find the following. ef (x) - e6 lim 18 x² - 4x - 32 || ef(z)-6-f(x)…

A: f(8)=6 and f'(8)=4 Find limx-8[ef(x)-e6]/(x2-4x-32)  Limx-8[ef(x)-6-f(x)+5]/(x2+16x+64)

Q: Let f(x) = 2z² + 1z 1 32²-22-8 This function has: 1) Ay intercept at the point 2) x intercepts at…

A: Given  f(x) = 2x2+1x -13x2-2x-8   As per the guidelines, I am providing the solution to the first…

Q: Write the logarithmic expression log(2√7) as an expression involving two separate logarithms.

A: Given  To write the logorthemic expression for log(x^6 √y^-6)

Q: 3 dy - (+)) = 2₂²

A:

Q: The intensity levels I of two earthquakes measured on a seismograph can be compared by the formula…

A:

Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. In x lim…

A:

Q: Find the slope at the point (1,2) on the graph of the ellipse defined by 4x² + y² = 8.

A: Find slope at the point (1,2) to the ellipse 4x^2+y^2=8

Q: Find the domain of function r(a) √22-32². Write your answer using interval notation in the box…

A:

Q: The temperature at any point (x, y, z) in a room is given by T(x, y, z) = x² + y² + 2z². a) If the…

A: The temperature at any point x,y,z in a room is given by Tx,y,z=x2+y4+2z2

Q: Q4 Integrate the following: (a) 4ln|x³| + C x3 dx (b)+C 4 (c)++C (d)+C

A:

Q: 2 3 (( e ² x - e ² x ²) de е dx

A:

Q: Use the graph to find the following limits and function value. a. lim f(x) x→1 b. lim f(x) x→1* c.…

A: The graph of the function is  To evaluate:  a limx→1-fxb limx→1+fxc limx→1fxd f1

Q: 3 ⋅ (x + 1)! − (x − 1)! - (b) lim x→→∞ (x + 1)! + 6 ⋅ (x − 1)! .

A: We have to evaluate the given limit.   First we will expand the factorials then take common part and…

Q: [ ,20 ' sin (30 ) d0

A:

Q: What is the meaning of int x in #39? Is the solution same on how to solve the remaining problem…

A: What is the meaning of int x

Q: Find the time required for an investment of 5000 dollars to grow to 8700 dollars at an interest rate…

A: Our Aim is to find the time required for an investment of 5000 dollars to grow to 8700 dollars at an…

Q: Find the value of q such that (3 + 4i)(1+2i) (1 + 3i) q= = q(1 + i).

A: To find the value of q such that,  3+4i1+2i1+3i=q1+i

Q: Use the formula for the sum of a geometric series to find the sum or state that the series diverges.…

A:

Q: 2) Consider the vector function r(t) = (sin (t), −3t, cos (t)). Analyze the function, then sketch a…

A:

Q: Find the equation of the tangent line to the curve at the given point. 6x - xy + y² = 12 at (2,2)…

A: We are required to find: The equation of the tangent line to the curve 6x-xy+y2=12 at (2,2).

Q: 39. lim int x x-0.01 X 41. lim x→0+ |x|

A:

Q: The population of trout in a certain lake after t years from now is given by the function 150 p(t) =…

A:

Q: Approximate the area under the curve y = with 4 subdivisions. from = 0 to 2 using a Right Endpoint…

A: we divide the interval [0,2] into 4 subintervals [0, 0.5], [0.5, 1], [1, 1.5], [1.5, 2] The width of…

Q: Find f'(x) for the following function. Then find f'(2), f'(0), and f'( − 7). f(x): = - 6 X f'(x) =…

A: f(x) =-6/x Find f'(2), f'(0) &amp; f'(-7)

Q: The equation of the tangent line to the graph of f(x) at the

A:

Q: 17 Find the value of the hypothenuse, and the value of the third side. X 60⁰

A:

Q: Solve: logr z 1 125 (Enter as an integer or as a reduced fraction.) B = <=f The polynomial 49x¹4…

A:

Q: Given the function P(z) - (x-2)(z-6), find its y-intercept is its z-intercepts are ₁ = When z→→∞o, y…

A:

Q: •n [02/12 XP 3. an = P> 1

A:

Q: [ 4xex dx

A:

Q: If x = -4 is a root of x³ + 5x²-16x- 80=0, use synthetic division to factor the polynomial…

A: We need to find roots using synthetic division.

Q: Evaluate the double integral (2² + 4y) dA, where D is bounded by y = x, y = x³, and x ≥ 0. Answer:

A:

Q: Ex. (1): the paralel Sum and difference of the given complex numbers. 1. 2. 3. U = 2+3: U = 4+7i…

A: To add complex numbers in rectangular form, add the real components and add the imaginary…

Q: When estimating distances from a table of velocity data, it is not necessary that the time intervals…

A: The formula to find the lower estimate of the distance travelled is: L=∑i=1nVi+1(ti-ti-1)

Q: If 28200 dollars is invested at an interest rate of 7 percent per year, find the value of the…

A:

Q: Simplify the following expression. X X X [ 1 + 2 at (Hint: [ 1 + 2 at = [ 1 + 2 at + J / 1 + 2 at dt…

A: Given that ddx∫-xx1+t2dt. We have to simplify this expression.

Q: Determine the location of each local extremum of the function. f(x) = ³-2x²-120x+1 What is/are the…

A: Given that , fx=43x3-2x2-120x+1 Determine the location of each local extrema of the function.

Q: To enter π, type "pi". Suppose the volume of the solid obtained by rotating the region bounded by…

A:

Q: Question 2: Find the slope of the tangent line of the function y = 3x² - 4x² at the point x = 12…

A: The function is y=3x32-4x12  We need slope of the tangent line at x=12   Slope of the tangent line…

Q: ㅠ Si F. ¹ · dỡ where F = (3z, 0, −2x), and C' is given by r(t) = (t, sin(t), cos(t)), 0 ≤ t ≤ ñ…

A:

Q: 5. Trace the curve: r = a sin 30 (degrees) r (degrees) r (degrees) r → (degrees) r 0 90 180 270 15…

A: We have to sketch the graph of the given equation. This equation is in polar form so to sketch it…

Q: Matt bought a new car for $35 000 and sold it five years later to Martin for $20 000. Assume that…

A: Given: Matt bought a new car for $35000 and sold it five years later to Martinfor $20000. The value…

Q: If 7000 dollars is invested in a bank account at an interest rate of 9 per cent per year, Find the…

A: This is question of calculus  Here we have to find interest rate  At given different condition…