Estimate cos(π/4 - 0.1) + cosπ/4

Q: 1. Identify the type of conic section whose equation is given, then find the vertices and foci.…

A:

Q: 9. Find the sum. (a) 22 32 23 33 29 34 310 (b) 1 + 2/2 23/2 11 1/2 1.

A: b)1+1212+12+1232+.........

Q: Integrals

A:

Q: Solve the Laplace Transform of the given function 6e5t cos(2t) – e7t

A: Solved below

Q: Right triangle ABC has a hypotenuse BC that maintains a length of exactly 15 yards. If the leg AC is…

A: For finding the rate of change of angle  we will use some trigonometric functions like…

Q: Graph the feasible region. x + y 2 3 -x + y 2 1

A:

Q: Determine the value of 3A+5B if 10x2 + 25x +5 A Cx +B (x – 1)(x + 1)² (x+1)² 1 - |

A:

Q: Find the general solution of the following linear second order inhomogeneous O.D.E.: ý - y = e*

A:

Q: Find the average value gave of the function g on the given interval. g(x) = 3x, [8, 64] gave =…

A:

Q: Find the marginal profit function if cost and revenue are given by C(x) = 184 +0.3x and R(x) =…

A: This is a problem of differentiation . Based on the formula and concept we will answer the question.

Q: 9. S sec 2x dx 10. S cos x esin x dx 11. dx x+1

A: Evaluation of the above integration is

Q: Find the limit. lim (t i - 7 j+1² k) t-5 lim (t i - 7j+ k) i+ i j+ i

A:

Q: 12. The Statue of Liberty is 150 feet tall and stands on a 150 foot pedestal. How far from the base…

A:

Q: y = 2 ||

A: We have to find the derivative of the function y = 1-x2ex2

Q: Evaluate the integral. 3 if -2 < x< 0 f(x) dx where f(x) | 4 – x² if 0 <x< 3

A:

Q: Evaluate the limit sin 9x lim I0 sin 3x

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: Starting at age35 ​, you deposit​ $2000 a year into an IRA account for retirement.  Treat the yearly…

A:

Q: Find the general solution of the following nonlinear first order ariable separable O.D.E.: x?dy +…

A:

Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). ||r"(t)||3 r(t) = e*i+e*j K(t)

A:

Q: {(1-9*"} bn a,b e R n

A:

Q: Find the arc length of the graph of r(t) = ev2ti+ e¯v2tj+ 2tk, 0<t< v2 In 5 NOTE: Enter the exact…

A:

Q: Find the expression of the general term of the sequence given by 3 5 7 9 11 1, 2'6' 24' 120 ' 720 2n…

A: The given sequence,      1,32,56,724,9120,11720

Q: Given that u= and v= and that u.v= 199 determine the value of the constant A. Answer:

A:

Q: (rece - tan 0) de 2. J]

A:

Q: Let u = (1,2,3) and v = (2a,2a,a^2) Which of the following values of a ensures thatu and v are…

A:

Q: JoFe is going to Fusion Plex to watch one movie. His choices of genre are "action", "horror" or…

A: topic - combination and permutations

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A: Given that     D(x) = -3x/10 + 8     S(x) = x/5 + 3

Q: Evaluate the limit sin 3x lim 9x

A:

Q: 10 Consider the function f(x) Let F(r) be the antiderivative of f(z) with F(1) - 0. Then F(z)

A:

Q: 4. sec 4x tan 4x dx

A:

Q: x cosy dx + cos?x

A: We have to choose the correct option from the given options according to the given information

Q: Evaluate the definite integral. NOTE: Enter the exact answer. |ti + t*|dt (25;² + 1) – 1 3j2

A: The given integral,                        ∫05ti+t2jdt

Q: 1. Find the equation of the tangent line (s) to the following set of parametric equations at the…

A:

Q: Find the supply function x = f(p) that satisfies the initial conditions. dx 10 x = 140 when p = $5…

A: Here, dxdp=10p-5⇒dx=10p-5dp⇒∫dx=10∫1p-5dp+C...(1)

Q: Find the profit function for the given marginal profit and initial condition. Marginal Profit…

A:

Q: Let C1 be the curve with parametric equations x = cost, y = sint – t, where t e [0, 5]. (a) Find the…

A:

Q: d²y Find the second derivative, dx2 a. x = t² + 1 and y = t³ t2 b. x = 2 · + 2 and y = sin(t + 1)

A: This question can be solved using the concept of second order derivative.

Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). 3 r(t) = e"i+ etj %3D K(t) = ||

A:

Q: 12. The Statue of Liberty is 150 feet tall and stands on a 150 foot pedestal. How far from the base…

A: First supposed that an angle as alpha then use trigonometric ratio  and make a relation between x…

Q: The Inverse Laplace Transform for 5/3S - 2/ ((3(s+3)) is

A:

Q: 1 2 1 | | (x² + y»2 + z²)dzdydx lo Jo

A: To evaluate the given triple integral: ∫-10∫02∫01(x2+y2+z2) dz dy dx=∫-10∫02∫01(x2+y2+z2) dz dy…

Q: Find the area of the region under the graph of f on [a, b]. f(x) = x2 - 8x + 20; [-1, 2]

A: The detailed solution is given below Thank you

Q: Write the standard form equation for a hyperbola with center at the origin, vertices at (0, 6) and…

A:

Q: Lnx sin 2x dx

A: Use the properties of definite integral and solve the question.

Q: g(b) Use the Substitution Formula, JKax) •gʻ(x) dx = [ | f(u) du where g(x) = u, to evaluate the…

A: The given integral,a) ∫-334rr2+22drb) ∫034rr2+22dr

Q: 3. a) If 2 - i is a root of x3 – 2x² – 3x + 10 = 0, find the other complex root. b) Calculate the…

A:

Q: the integral dx Va? – x? e may use x- educe the integral to a sine and dx= a cose de substitutions…

A:

Q: Consider the function. x - 8 f(x) x + 3 Step 1 of 2: Find all values of x that correspond to…

A: The given rational function is: f(x)=x-8x+3      =x+3-11x+3…

Q: Evaluate the indefinite integral. x2 dx V0.2x3 + 2.7 + C

A: