4. Given the triangle below, find the value of angle C to the nearest degree. angle C = degrees 20 A b 65 degrees 144 degrees 16 degrees 43 degrees 13 C 6

Q: Find the distance from the point (3, 5, 1) to the line æ = = 0, y = 5 + 2t, z = 1+ 3t.

A: Given line x=0, y=5+2t, z=1+3t Therefore line passing through the point (0,5,1) and direction ratio…

Q: Let f(x) = ln(x² + 2x + 3) f'(x) =

A:

Q: A cable hangs between two poles of equal height and 24 feet apart. Set up a coordinate system where…

A:

Q: I > | − 4 • xª + 5ª

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find two positive numbers that satisfy the given requirements. The sum of the first number squared…

A:

Q: Velocity 3.5 3 2.5 2 1.5 1 0.5 1 2 3 5 6 Time (s) Velocity (m/s) 4.

A:

Q: What is the slope of the curve when x = 2 radians? * y = 4 cos(x) + sin(2x) -2.21 -4.94 -3.25 2.21

A:

Q: 2. Find the volume of solid generated by revolving the area bounded by: y=x²+1, x = 0, y = 0 and x=2…

A:

Q: Sketch a graph and make a chart of a function f, that is continous on (-infinity, infinity) and…

A: answer is in next step

Q: Find all the second-order partial derivatives of the following function. h(x.y) = 2x e +y +4

A:

Q: Find and sketch the domain of the function. f(x.y) = /y- 6x – 4 Find the domain of the function.…

A:

Q: Solve the problem with the application of integral and draw the complete figure of the problem.…

A:

Q: What are the first 5 terms of the sequence represented by а %3D 2n - За 'n – 1, where ", =4,

A:

Q: A ladder 13 ft long leans against a vertical wall. If the top slides down at 3 ft/s, how fast is the…

A: We can find the rate of decrease of angle of elevation as below.

Q: Why rad/s as a unit of final answer instead of ft/s?

A: A ladder 13ft long leans against a vertical wallthe top slides down 1.5ft per secondthe lower end is…

Q: Approximate sin 49º by Taylor series

A: We know that,  49°  = 45° + 4°  = (π/4 + π/45) rad = (45+4)*π/180 =  49π/180 rad

Q: dy Find Y dx (x- 2) - (2x+1)4 if y= | Use logarithmic differentiation. x=0 e2x. Vx+8

A:

Q: The general solution of y" + y = cos? x

A:

Q: Find the interval(s) where f(x) = 2x° – 15x? + 36x – 27 is increasing. -

A:

Q: 2 3 2 [4х - 5х + бх + 9) dr

A:

Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

A:

Q: Suppose that the function g is defined, for all real numbers, as fo -4 if x < -2 g(x) = (x+1)²…

A:

Q: Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine…

A: Option (B) Diverges

Q: A graph of f(1) is shown above. Using the geometry of the graph, evaluate the definite integrals. a)…

A: Solve using the area under the curve between given limits

Q: The director of the school play has to assign 6 lead roles. If the roles are being chosen from a…

A: Using permutations and combination

Q: af ay f(x,y)=√√4x²+ +y² af Find and əx || (Type an exact answer, using radicals as needed.)

A:

Q: Solve for x. If needed, round to the nearest hundredth. Do you need to check for extraneous…

A:

Q: p(5y-4) dy y³+ 4y²

A:

Q: sec(2) tan(z) – 1 dz 1 dz

A:

Q: 1. 12a – 92² + 2 dæ

A:

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of y = 2x + 1…

A:

Q: nd the area bounded by the given curves, axes and/or line 1. у? + х — 4у %3D5;B у-аxis 2. у %3D 3х —…

A: Here I am providing my handwritten solution

Q: Graph the damped vibration curve for 0 ≤t≤. -t/ (5) d(t) = e cos (2t) Choose the correct graph of…

A:

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

A: Given query is to find integral converges or diverges.

Q: 3) Evalnete the itevated integral by Converting the to polar corrdinate, a) dy dx

A:

Q: Given cost and price (demand) functions C(q) = 130q+47,900 and p(q) = -2.7q+800, what price should…

A: Given, cost function: C(q)=130q+47900 Demand function:p(q)=-2.7q+800

Q: Find dyldx /x+ Vx+... dy dy 2у +1 1 1 dx y - 1 dx Option 1 Option 4 dy dx y +1 dx 2у - 1 Option 3 O…

A:

Q: Use the line sketch tool to draw the horizontal and T vertical components of this vector. Write this…

A: here red show horizontal i component brown show verticle j component

Q: Given a Fibonacci sequence, evaluate the sum of 1/ (an 1 x an+1) from 2 to infinity. А. О В. -1/2 C.…

A: We have to find the sum of series.

Q: Q2/12 2 = と = COS e ) y= Sine find the %3D

A: partial derivative

Q: aplace Ul 1. f(t) = t 0 <t< 2

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Solve each of the following problems completely. Draw the complete figures for each question. 1.…

A: Please see the below picture for detailed solution.

Q: 2-]x³.e* dx 3- S x².cosx dx

A:

Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

A: Given query is to find the function.

Q: 2X Cos(スx) dydk 12

A:

Q: The time t taken for an investment to increase by 40% when the interest rate is 3% is given by t= ln…

A: We have to find the time.

Q: lim X-3 x +3 -3

A: As per guidelines we can answer only one question at a time, so if you need more answer kindly…

Q: Q2:Find the Laplace of the 1- cos(2t) 1. f(t) = t

A:

Q: > arctan (n) n=1

A: Given

Q: Evaluate the following integral. 2 dx 16-x² 0 What substitution will be the most helpful for…

A: