6. If a = 2, b = 2√√3, y = 30°, solve for c and 3.

Q: Evaluate 1 2. tht Htte tan e(:-+) 2 , у акуся, whve с is the contour given by

A:

Q: Let an 4n 7n + 1 (a) Determine whether {a} is convergent. convergent divergent = 8 (b) Determine…

A:

Q: 2. Find the point where the tangent line to the curve f(x) = x²lnxis horizontal

A:

Q: An object moves with velocity as given in the graph below (in ft/se How far did the object travel…

A:

Q: Given f''(x) = ¹ƒ(7) Find f [ 16 sin(4x) and f'(0) = 0 and f(0) = 1.

A:

Q: Find the limit of the following sequence or determine that the sequence diverges. 22 {(1-²)} n…

A:

Q: This exercise uses the population growth model. A certain species of bird was introduced in a…

A: Let P be the population,t be the time and k be the growth constant. We know that exponential growth…

Q: Given that z dz= } 0 form. No rounded decimal number! 200 128 and 01:14:35 } z3 dz= 4, evaluate the…

A:

Q: [x=t+1 B- Find an equation plane pass through point (1,0,0). If the line L₁ y=-2t Z -3t…

A: Given: 1,0,0 x=t+! y=-2t z=-3t

Q: the graph below has the equation Ax + By = C, which statement MUST be true? A > 0 C = 0 B 0

A: From the given graph we can notice that the line passes through origin.

Q: 9 4 Let C₁ be the ellipse + - 1 traced counterclockwise and C₂ be the paral- lelogram with vertices…

A: Consider the following diagram with the given curves and their respective orientations:  Note that…

Q: Suppose that fo f(x) dx = = 0-4 04 O 773 O 21 O 10 7 and ₂ f(x) dx = 3. Calculate f f(x) dx.

A:

Q: Write an exponential mathematical equation to justify the statement log, (54) = 2.87744. Answer:

A: given, log454≈2.87744

Q: Evaluate the double integral J[₂x² x³ dA, where D = {(x, y) : 1 ≤ x ≤ e, 0 ≤ y ≤ ln x}.

A:

Q: Question 4 Find the power series for 2xe² by differentiating power series representation of ex. Also…

A:

Q: 2ucot 2x

A: Please see the below picture for detailed solution.

Q: Find the volume of the solid with the given base and cross sections. The base is the circle x² + y²…

A:

Q: the following sequence or determin hat the sequence diverges. 5n 36n² + 1 elect the correct choice…

A: We have sequence  5n36n2+1Let an=5n36n2+1

Q: 97 Find the following percentage. oon ai show my wade-VOIT 16% of 79-264 siri) 98. Find the…

A:

Q: Find the transfer function, G(s)=C(s)/R(s), corresponding to the differential equation, d³c d3 +3.…

A:

Q: h(x) = f(x)+c h(x) = f(x)-c h(x) = -f(x) TRANSFORMATION OF FUNCTIONS Vertical shift c units up…

A:

Q: Write an equation for the ellipse. Type the left side of the equation in the box below. (x-3)² (+1)²…

A: solution is given below

Q: Given that the graph of f(x) passes through the point (8,8) and that the slope of its tangent line…

A:

Q: What is the equation of a line with slope of 2 and a y-intercept of -6? y = -6x + 2 y = 2x - 6 2x…

A: Concept: The equation of a line is found using the slope-intercept form of a straight line. We need…

Q: 8. Find dy/dx- y = sin (1 + x^2/1-x^2)

A: Topic = Derivative

Q: D O O O 59 2 04 Question 16 Evaluate lim N-00 12 01 3|2 • Σ [()* - (-)] ++ N by using it as a…

A:

Q: a. d. 1 =x+2 y = 1 --x+2 y = -x + 2 * 1/2x-2

A:

Q: 2. Sketch the solution region of 2x - y - 1>0 (x - 5)² + (y + 1)² ≤ 25.

A: The given inequalities, 2x-y-1>0(x-5)2+(y+1)2≤25

Q: π/4 [*¹. f(r, 0) r dr de The region of integration is bounded by 3/ cos(0) A. y = 0, x = √√√√9 - y²,…

A:

Q: 4. S 10 dx 4x3-4x²+5x

A: Let's solve given integral by using quadratic factors.

Q: Slope

A: We know that, A function, in mathematics, an expression, rule, or law that defines a relationship…

Q: f(x) = ³√x, a=27

A:

Q: An applicant receives a job offer from two different companies. Offer A is a starting salary of…

A: Given problem:- An applicant receives a job offer from two different companies. Offer A is a…

Q: If f(x) = 1 - log5 x, then f-¹(x) =

A: Given that f(x)=1-log5 x , then our aim is to find the value of f-1 (x)=?

Q: II. Given a piecewise function f(x) = 2. 2x² + 2x " X log₂ (x − 1), x<-2 −2 < x < 2, x‡0 x ≥ 2. 1.…

A: The given piecewise function, fx=2,x&lt;-22x2+2xx,-2&lt;x&lt;2, x≠0log2x-1,x≥2

Q: What are the coordinates of the x-intercept of the equation 2x - 3y = 8? (-4,0) (-8/3,0) (0,-8/3)…

A: Please see the below picture for detailed solution.

Q: Proor: Let † and g be one-to-one functions. a) Prove that (a) fog is one-to-one b) Prove that (b) (ƒ…

A: We will prove this using the concept of one to on

Q: The kinetic energy, k, the amount of energy that a moving object has, can be found for a particular…

A: By putting the given velocity of roller coaster in the given radical function, we get our desired…

Q: `11,  Find a function  f(n)  that identifies the nth term  an  of the recursively defined sequence,…

A: The solution is given below

Q: The area of a rectangle is given by the function A(x) = 3x³ + 6x² + 4x + 8. If the length is defined…

A:

Q: Given the following table with selected values of f(x) and g(x), evaluate f(g(3)). x -6 -4 1 f(x)…

A:

Q: Write 0.12 as a fraction. Use the concepts in section 10.3

A:

Q: A searchlight is shaped like a paraboloid of revolution. If the light source is located 4 feet from…

A:

Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A:

Q: Use Green's Theorem to evaluate the line integral. Assume the curve is oriented counterclockwise.…

A:

Q: Suppose that P = f(t) is the population (in millions) of the country t years after the year 2000.…

A: Given that P= f(t) is the population (in millions) of the country t years after the year 2000

Q: Which of the following statements proves the series-128+96-72+54- O 2 is geometric?

A:

Q: Calculate Sc 2xyds, where C is the arc of x²+²=4 from the point (2,0) to the point (1,√3)

A: We know that ∫C f(x,y) ds=∫ab f( x(t), y(t) ) dxdt2+dydt2 dt

Q: What is the equation of the surface revolved about the x-axis for z² - xz = ln x + 3x? A. y² + z² =…

A: Given:- The equation of the surface revolved for the x-axis is, z2-xz=ln(x)+3x

Q: Which of the following graphs represents (x + 1)² = 8(y - 3)?

A: