Consider the following. sin(20) √9-7 sin(8) Use the substitution y = sin(0) to rewrite the given integral. (C i….... 1₁ a = The resulting integral can be evaluated using which of the following entries from the table of integrals? O entry 54 b = de du entry 55. entry 56 O entry 57 O entry 58 Determine the values of a and b. Evaluate the integral and state the result in terms of 8. (Use C for the constant of integration.)

Q: II. Identify the equation of the slope of the tangent line, the slope, and the equation of the…

A: To identify the slope of the tangent line, and to determine the  equation of the tangent line to the…

Q: Find the norm of v. NOTE: Enter the exact answers. (a) v = (6, -6) ||v|| = (b) v = -6i+2j ||v|| = =…

A: We have given vectors  a v=<6,-6> v=62+-62=36+36=72 v=62 b v=-6i+2j v=-62+22=36+4=40 v=210 c…

Q: Q1. Compute the following derivatives: = (a) dx (c) (b) =[5 - 3x] = = dx [] = d) [6 = dx

A: see below the answer and calculation

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: The given integration is: ∫x2+2x dx To evaluate the integral.

Q: (a) Find the domain of the function. (Enter your answer using interval notation.) √x 2x 11 g(x) =…

A:

Q: Write the equation of the parabola y = x² - 6x + 14 in vertex form y - k = (x - − h)²

A: Solving the following problem

Q: Find the differential of the function. y = √5-t8

A:

Q: Write an inequlity comparing n²-3 n5 +3 (Express numbers in exact form. Use symbolic notation and…

A: Comparison Test: Suppose we have two positive term series ∑n=0∞an  and ∑n=0∞bn such that an≤bn for…

Q: Consider the following series. n = 1 Find the following limit. (If the limit is infinite, enter 'co'…

A: Please see the below picture for detailed solution.

Q: Evaluate the integral. 3 ㅇㅇ 를 O 229 이름 sin³ 3x dx

A:

Q: What is the area of this figure?

A: Here we have to find the area of the figure.

Q: Find the equation of the circle shown. 3 2 1 -1 -1 -2 -3 -4 -5 2 3 4 7 q

A:

Q: U.S. Cell Phone Subscribers The number of cell phone subscribers in the United States between the…

A: Given: N(t) = 385.4741+2.521e-0.214t for (0 ≤ t ≤ 10) , where N(t) is measured in millions and t is…

Q: Find the points on the curve y = 2x³ + 3x² - 12x + 4 where the tangent line is horizontal. (x, y) =…

A: Derivative is zero where the tangent line is horizontal.

Q: Find and sketch the level curves f(x,y)= c on the same set of coordinate axes for the given values…

A: Given that  f(x,y)=14(x2+y2), c=0,1,2,3,4 f(x,y)=c, gives 14(x2+y2)=cor, (x2+y2)=4c

Q: Find the indefinite integral dx (3+5r)2 dx

A:

Q: ƒ'(x) = (x+4) (12 — x)(x − 16)

A:

Q: The following are configurations of the revolved differential strip and the axis of revolution in…

A:

Q: The following functions are inverses of each other. f(x) = 3 x3 + 8 and g(x) = True O False 8

A:

Q: Find the limit by rewriting the fraction first. lim (x,y) →(1,6) X#1 xy-y-4x+4 X-1

A: To find the limit by rewriting the fraction first. limx, y→1, 6 xy-y-4x+4x-1 where, x≠1

Q: Which of the following integral gives an equivalent area solved by the integral: S™/6 O So -1 cos…

A:

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

A: We have to find the vector in given question.

Q: For an online gaming store, the function n = f(p) gives the average of number of daily downloads, n…

A: p0 is the current price per download.f(p) is average number of daily downloads as a function of…

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A:

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

A:

Q: Find and sketch the level curves f(x,y) = c on the same set of coordinate axes for the given values…

A:

Q: Find all the second-order partial derivatives of the following function. h(x,y)=2xe + 5y +9 2²h 2²h…

A:

Q: Graph the function f(x)=-4 cos W|N 2 -x + π -3. Be sure to show the calculation for the period,…

A:

Q: By the Horizontal Line Test, the graph below represents a one-to-one function. - O True 111 O False

A: Horizontal line test - If a horizontal line intersect the graph of a function more than once…

Q: 1+csc(x³) 1-cot (⁹)

A:

Q: Let L₁ be the line passing through the point P₁=(5, −1, −14) with direction vector №₁=[0, −1, −2]¹,…

A: Given:L1 : Line 1 passes through P15,-1,-14 and with direction vector d1→ = 0,-1,-2L2 : Line 2…

Q: I. Evaluate the following limits of trigonometric functions. Provide solutions and box your final…

A: To evaluate the given limit of function

Q: Find the rate of change of fat the indicated numbers. f(x) = 7x - 3 (a) c = 0 f(0) = (b) c = 7 f'(7)…

A:

Q: Consider the piecewise defined function shown below. Assume m is a constant and m + 0. Note: Use…

A:

Q: Meteorologists define the temperature lapse rate to be -dT/dz where T is the air temperature in…

A:

Q: By considering different paths of approach, show that the function below has no limit as (x,y)…

A:

Q: Find + 12 10 .12 [9f(x) = g(x)]dx if [9f(x) = g(x)]dx = i 12 [2² 10 f(x)dx = 9 and 12 10 g(x)dx = 8.

A: integration

Q: how do you solve the equations 1 and 2?

A: Solution: Given data, x³+19x²+103x-135>0 x³+19x²+103x-735<0

Q: Solve using integration factor or bernoulli's equation. dy a. + y tan x = dx sin x

A: according to guide line we do only first part of multiple questions (a)  dydx+ytanx=sinx we know…

Q: At what points (x,y,z) in space are the functions continuous? a. h(x,y,z)= In (2z - 4x³ - 4y - 1) 1…

A: The function f(x,y,z) is continuous if the limit at each point is existing and is equal to the…

Q: Find the absolute maximum and absolute minimum values of f(x) = x³ – 6x² – 15x+9 on [−3,3], along…

A: The objective of the question is determine the absolute minimum and maximum of the question.

Q: 4 M t 1 C- ts- 2- 1- o 14 T . E- T о O f(x)=-=(x-2)²-2

A: Given query is to find the graph of the function.

Q: Consider the following function. f(x) = 4x³ + 21x² - 294x + 7 (a) Find the intervals on which fis…

A:

Q: Consider the following. 1 Use the substitution y = sin(0) to rewrite the given integral. SCC…

A:

Q: Can you elaborate how to incorporate c into the solution. Like c=0? And how does f'(0)=7 and…

A: Solution below

Q: A city grew in population throughout the 1980s and into the early 1990s. The population was at its…

A: A city grew in population throughout the 1980s into the early 1990s. The population was its largest…

Q: Find the derivative of the given function. 1 25/4 dy dz y =

A:

Q: Find the inverse. 1 -8 2 -1/10. 71 10 10 2 -8 -2 ;]

A:

Q: O False

A: For the graph of g(x) to be false ,we need at least  one point which do not satisfy.