Q: Find the derivative of y=- A B C D tan 2x sec 3x - 2sec ² (2x) + 3 tan(2x) tan (3x) sec (3x) 2sec…
A:
Q: find the equation of the tangent line to the function f(x)=7cosx when x=3
A:
Q: 107. Shadow Length The introduction showed how shadows can be used to compute the cotangent…
A:
Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 5x 1 lim x→0.2¯ 15x³ – x²1
A:
Q: 14. Find the surface area of the part of the plane 3x + 2y + z = 6 that lies in the first octant.…
A: (14) The equation of plane is given as , 3x+2y+z=6 find the surface area of the part of the given…
Q: 10. Find each limit if x→∞0 a) lim 3-2x 3x x² + 3x-18 (x-9)² b)lim- 7 x +31 c) lim(5x +4--
A:
Q: -2 8- y = f(x) y=√√√x+1 y = 3x - 23 P(9,4) 13 What is the right-hand derivative of the given…
A: Solution: y = 3x -23 limh→0+f(9+h)-f(9)h
Q: A luxury car runs smoothly on a paved road at 60 mph. If it then decelerates to a stop at a constant…
A: A luxury car runs smoothly on a paved road at 60 mph. If it then decelerates to stop at a constant…
Q: 1. Determine the equation of the circle with center at (4,5) and passing through (-1,-7)
A: The center of the circle is: (h, k) = (4, 5) The circle passing through the point: x1, y1=-1, -7
Q: Use the Shell Method to compute the volume obtained by rotating the region enclosed by the graphs as…
A:
Q: Suppose g(x) is a constant function such that g(x) > 0 for all x. The limit 4x² + x g(x) — 2x is…
A: Given problem:- limx→∞4x2+xgx-2x
Q: Write a system of equations that is equivalent to the vector equation. x1 + -5 x₂ = = 9
A:
Q: 14. Two vectors, a and 6, have a common starting point with an angle of 120° between them. The…
A:
Q: Find the unit tangent vector T and the curvature K for the following parameterized curve. r(t) =…
A: To find the unit tangent vector and the curvature.
Q: Consider the region R between y = x² + 3, x = 0, x = 2, and y = 0. Use the Shell Method or Disk…
A:
Q: 16. f(x)= In ( x²-3x+2 3x2+5x-2/
A: The given function is f(x)=lnx2-3x+23x2+5x-2 We have to find the derivative of f(x). Note: If…
Q: 7x+4 = 492x-1
A: Given 7x + 4 = 492x - 1
Q: 1 Find the slope of the tangent to the curve f(x): at the point where x = 9 4 √x The slope of the…
A: The slope of the tangent to the curve y= f(x) at x = k is f '(k).
Q: Find all points (x,y) on the graph of f(x) = 3x² - 4x with tangent lines parallel to the line y = 8x…
A:
Q: Consider the function y = (− 3x – 4)2. Using the values x = − 7 and △x = 0.4, calculate △y − dy.…
A:
Q: function
A: We have to explain about the limit of rational function according to the given information
Q: How much work is done raising a 2 lb mass to a height of 12 ft above the ground? (Use decimal…
A: The magnitude of the weight of the mass, w = 2 lb The displacement of the mass, d = 12 ft To…
Q: Solve the differential equation dy dx Give an implicit solution and use c as the constant. y = e²y³
A:
Q: Find y' of y = sec²x - tan²x A B 2 0 O-4 secx tan x O4 secx tan x
A:
Q: Evaluate the definite integral that represents the volume of the solid formed by revolving the…
A:
Q: Use Gauss Quadrature to evaluate the integral 15 e with n=3
A:
Q: d Use the Product Rule to find the derivative [(x + 2)(5x + 6)]. dx Answer
A: The objective of the question is evaluate the derivative using product rule.
Q: The buyer for a retail store located in a shopping mall has convinced himself that if he prices…
A: The Profit function is given as , Px=-x2+39x-210 where the price of a personal fan is $x.
Q: If x is slightly more than 3, then X large and positive Olarge and negative small and positive small…
A: Topic - Limits
Q: Find curl(F x G) = V x (F x G). F(x, y, z) = i + 9xj + 7yk G(x, y, z) = xi - yj + zk
A:
Q: Find the area of the surface generated by revolving the curve y=√√2x-x²,0.5≤x≤1.75, about the…
A:
Q: Find the horizontal asymptote of f(x) y || = −4x + 5x³ + 1 -5x³ - 3x² 2
A:
Q: Find the volume of a frustum of a right circular cone with height 25, lower base radius 32 and top…
A:
Q: Evaluate (5²+2-4)²
A: Please see the below answer.
Q: Verify if the given function is a solution of the indicated differential equation. 1. y = In…
A: Verify if the given function is a solution of the indicated differential equation. (1) The DE is…
Q: 23. z = y4 - 2y² + x² 17 16
A:
Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x³6x²-15x +4
A:
Q: If a ball is thrown into the air with a velocity of 60 ft/sec, its height in feet after t seconds is…
A: If a ball is thrown into the air with a velocity of 60 ft/sec, its height in feet after t seconds…
Q: Find the limit. lim (t i − 6 j + t² k) 1-4 lim (t i-6 j+t² k) 1-4 = i i+ i j+ i k
A:
Q: 2. The Vertical asymptote of Exponential Function is x=0 O True False
A:
Q: Evaluate the integral C arc y= = x² from (0, 0) to (1,1). NOTE: Enter the exact answer. (6.x+6y)dx +…
A:
Q: 10. * Use the properties of logarithm to condense the expressions as a single logarithm. log2 + log3…
A: Here we have to apply log properties.
Q: Select all of the following graphs which represent y as a function of x.
A: We perform vertical line test in order to check whether the given graph is a function or not. In…
Q: A pool is being drained where the amount of water in the pool decreases at a constant rate of 15.1…
A:
Q: 3. Determine the equation of the parabola with vertex at (1,4) and focus at (1,2).
A:
Q: The curve y = ax + bx+c passes through the point (1,9) and is tangent to the line y = 5x at the…
A: NOTE: Refresh your page if you can't see any equations. . point (1,9) is on the graph so take x=1,…
Q: Find a polynomial function p which satisfies the following criteria: • as x → −∞, p(x) → ∞ • The…
A: We need to find P(x).
Q: 17. x = 1 - y², x = y² − 1
A:
Q: Find the Value of x 4x+2= 82x O x=-1 O x= 3 Ox=2 O X= 4 O None of the Above
A:
Q: Find the center of mass of a thin plate of constant density & covering the region bounded by the…
A:
Step by step
Solved in 2 steps with 2 images
- Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim t→5 t2 − 3t − 10/t-5Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim t→−8 t2 − 64 2t2 + 17t + 8Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim h → 0 (h − 4)2 − 16 h
- Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim h → 0 ((−5 + h)2 − 25)/hFind the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y)→(2, 1) (8x3 − x2y2)Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim h → 0 (h − 8)2 − 64/h
- Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y)→(0, 0) x2yey x4 + 2y2Find the limit. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not otherwise exist, enter DNE.) lim t→−∞ 3t2 + t t3 − 7t + 1Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x+h)^3-x^3/h h->0