2. Use the sum and difference formulas to evaluate the following. 5TT COS 12 sin (-) 7Tt а. b. 12

Q: cotx da cos I da sin r 3.

A:

Q: 4 dx J (3+12x?)arctan 2x

A:

Q: A boat is pulled toward a pier by means of a taut cable. If the boat is 20 ft below the level of the...

A:

Q: B. Use the properties of continuity to determine where each function is continuous. 1. f(x) = 2x*- x...

A:

Q: Linear Approximation (Level 1) Mar 20, 10:00:24 PM Watch help video Let f be a differentiable functi...

A: Given query is to find the value of f(4.2).

Q: 6 The points P and Q have position vectors, relative to the origin O, given by OP = 7i + 7j – 5k and...

A: (i) Given that: OP→=7i+7j-5k and OQ→=-5i+j+k. It means: P=7,7,-5 and Q=-5,1,1. The midpoint of PQ is...

Q: E Find the differental equationof the family of plane curves described. Dran at least three members ...

A: Solved below

Q: 2e3+6 + x Evaluate lim x-2 and write your answer in simplest form. 2x +4

A:

Q: -6 -5 4 The plot above is created with the parametric equations S¤(t) = a cos(bt) y(t) = c sin(dt) T...

A: Solve the following

Q: graphing calculator is recommended. Find the following, rounded to two decimal places. (Enter your ...

A:

Q: Water is leaking out of an inverted conical tank at a rate of 7,000 cm³/min at the same time that wa...

A:

Q: Find the value of a so that the function f(x) = xe has a critical %3D point at x = =D3. NOTE: Enter ...

A:

Q: The graph of a conic section is shown below. Identify, among the options, a possible equation for th...

A:

Q: Solve the initial-value problem by using integrating factors. y' = y + 8xex, y(0) = 8 y(x) =

A:

Q: Question The position of a hummingbird flying along a straight line is given by the function s(t) = ...

A: Here, to find the interval when the hummingbird speeding up.  

Q: +oo Inn n2 n=2

A:

Q: Solve the initial-value problem by using integrating factors. y' + y = x, y(0) = 6

A:

Q: Given g(x) = 3x-1 – 2 A) State the parent function f(x) = %3D B) Describe the transformations: Confi...

A:

Q: Is the differential equation linear? dy dx = x8y + sin(x)

A:

Q: Question The position of a car traveling along a highway is given by the function s(t) =- 21/2 + 181...

A:

Q: (1+4er²)(3-e+²)x er2 dx

A:

Q: Write the first-order differential equation in standard form. (Use yp for y'.) −xy' = (3x + 2)y + xe...

A:

Q: 7 - 7 cos (x) + 3x? Evaluate the limit: lim 10x2 Answer: Submit Answer

A: Please see the solution below.

Q: om the table, determine the following limits. I-5 1. lim I-3- I-3 HI5 4. lim I-3- r2 - 6r +9 5. lim ...

A:

Q: dx sin? - cos 2

A: Here, the given integral is: I=∫0πsin2x2cos7x2dx Substitute x2=t⇒x=2t⇒dx=2dt as x→0⇒t→0 & as x→π...

Q: Differentiate: -X=COS y O a. -sin y O b. -1/sin y O c. cSc y O d. secy

A: Topic:- derivative

Q: 3. Let p = 31. Evaluate L3(24).

A:

Q: S sin 8x sin x dx O - 0. 02 O - 0. 01 O 0.02 0.01 O O O

A:

Q: Find the exact value of cos20 given csce = – -- and tane > 0 Simplify the trigonometric expression c...

A:

Q: The demand function for beer is given below, where p is the retail price and  D(p)  is the demand in...

A: The demand function for beer is given below, where p is the retail price and  D(p)  is the demand in...

Q: Find all the values of x where the graph of f(x) = 2x – 24x2 + 72 - 1 has a horizontal tangent line....

A:

Q: fip given the equation a+y = e. dz Use implicit differentiation to determine dy da > Next Question

A: Given query is to find the derivative of the expression.

Q: Find the following using the table below. 1 2 3 4 f(x) f'(x) g(x) 3 1 4 2 1 4 2 3 4 1 4 2 (x),6 3. 2...

A:

Q: 3. (a) Suppose y is a differentiable function of r and is implicitly defined by the equation [(2r+1)...

A:

Q: Find the volume obtained by rotating the region bounded by the given curves about y =-1. y = sinx, x...

A:

Q: I Eliminate the arbitrary constants -2x 2X Y = C,e cos 2× + Ge sin 3X

A:

Q: The figure shows the region of integration for the integral. P(x, y, z) dz dy dx Rewrite this integr...

A:

Q: Given the function f(x) = +x° + x° + 2%x*, find all x-values where f has an inflection point. 6. Ans...

A:

Q: Find the area under the given Cunves: D= 9-X From X = - 2 to X = 8

A:

Q: satellite is moving in an elliptical orbit about a planet. The equation of its planar orbit is 3x? -...

A: Given query is to find the velocity in x direction.

Q: Explain why the integral is improper. 81 1 xp 1.4- 1.2- y 0.8- 0.6 0.4 0.2 40 60 80 O At least one o...

A:

Q: x2 dx | (a3 + 2x²) da 3 + 3x2 + 1 dæ

A:

Q: Derivative of Trigonometric Functions Determine the derivative of the ff. functions 8. у %3D 5x4 - 6...

A:

Q: A particle moves along the x-axis so that at time t 0 its velocity is given by v(t) = 3t2 – 60t. Det...

A: v(t)=3t2-60t,    t≥0the particle is moving to the right whenv(t)>03t2-60t>03t(t-20)>0

Q: Evaluate the integral by changing to cylindrical coordinates. V 16 - x2 16 - x2 - y2 x² + y? dz dy d...

A:

Q: Let f be a differertiable function such that f(-5) = -9 and f'(x) = 2x + 8. What is the approximatio...

A:

Q: +00 2n determine the interval of convergence of (-1)"+1 n3 + 2 n=1

A:

Q: How do you find the derivative of function y=x^2-2radicalx/x

A:

Q: Use the Laws of Logarithms to expand the expression. 5 log2 9t2

A: Apply log rule:  logaxy=logax - logay

Q: 2x = y + 2 2 2y = z + 2z = x + 2

A: Given that: 2x=y+2y   .............(1)2y=z+2z   .............(2)2z=x+2x   .............(3) We have t...