xy h) log₂ = Z i) log2 (2/2) =

Q: 5. Find the limit, if it exists. If the limit does not exist, explain why. sin x - cos x (a) lim…

A:

Q: Given the following matrix equation, which of the following is the correct matrix solution, A? -5 5…

A: We are supposed to find here matrix addition which we will find as.

Q: 2. The graph of f(x) is shown to the right and has the following characteristics. 100 f(x) = x55x4 +…

A: We can solve this as follows:

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A: To find dydx for the given y.

Q: Solve the equation using Exponential Shift (D² - 2D + 2) y = 12x³e²x O y = e (c! COSx + c2 sinx) +…

A: Answer is given.

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A:

Q: 1. Find the value of (0) for a solution (x) to the initial value problem: 6y"+y' - 2y = 0; y(1) = 2,…

A:

Q: problem: Find the vector below. ting the unit normal vector of A = 40 + 7 ₁ 0 - 3 K

A:

Q: The weekly cost of producing x key chains is given by the function C(x) = 1800 + 33x + 0.15x2. Find…

A: marginal average cost

Q: Consider the function Step 1 of 3: Find lim f(x). x--6- f(x) = x²2 + 12x + 22 19x + 100 if x < -6 if…

A: Given.

Q: Step 2 of 4: Find lim f(x). x--3+ 10 10 -10 Keypad Keyboard Shortcuts Selecting a radio button will…

A:

Q: Evaluate the following: 1. f(x³ + 3x²)dx

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

Q: b) Use chain rule 1 y= LESANNE aretan u where u eª ue

A:

Q: 8. 9. 10. Given f(x) = cos(3x + π), find ƒ'(π) a) 0 b) -1 c) -3 If f(x) = √ex, the derivative is: a)…

A:

Q: 2- 3- Evaluate the integrals in Exercises [² dx L₁3 3 dx 3x - 2 dy 1- 2. S sec y tan y 2 + secy

A: We can answer all the three questions as below.

Q: 3.) Find the directional derivate of f(x, y) = tan¹ (3xy) at the point (1,2) in the direction of…

A: We have to find  directional derivative

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A: Given problem:- Find the area of the surface generated when the given curve is revolved about the…

Q: dig given B) IS differentiat -0.47 Let Alt) = 10e (in milligrams) at time + where t is hours 3 after…

A:

Q: 0 1 5. Let A = -1 -1 1 a) Find the decomposition PA=LU for the matrix. b) Solve the system Ax=(1 1…

A: Given problem:-

Q: Evaluate the limits 3 01 O lim X-00 3x-2. X

A: To evaluate: limx→∞3x-2x

Q: find differential equation of the following equation 1) y' = -x y+x

A:

Q: b) Calculate the following integrals x²(3x³ + 2)²dx (i) (ii) sin3x e³x dx (ii) (2x22+₁ +*²+2) dx S…

A:

Q: Sketch the vector w on the grid on the right and label its coordinates. Vectors and + w are…

A: First write this in vector form then put this on the graph.

Q: The vector i +bj-k is perpendicular to the vector I +2j-3k. what is the value of b?.

A: We know that if two vectors are perpendicular to each other then there dot product is zero. Given,…

Q: Find the particular solution of the following differential equations with the given condition. 3) dy…

A:

Q: Determine where the following functions are discontinuous, if anywhere. 0 x = 0 f(x, y): otherwise…

A: We need to find continuity of given function.

Q: 2log, x-log, y+log, z

A: Follow the procedure given below.

Q: Evaluate the following integrals: dx dx a. S b. f √81+16x² √16x²-9 C. S dx 49-4x²

A:

Q: Integrate (three) of th 1) f sin6x cos3x dx

A:

Q: Find the scalar equation for each line: (a) a line through the point (-6, 7) with direction vector…

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

Q: Identify the theorem: assume that a region R on the plane is bounded by a simple closed curve C,…

A:

Q: -10 -9 -8 -7 -6 Component Form: v = Magnitude of v: ||v||=| Direction of V: Ov = -5 -4 -3 -2 -1 y 10…

A:

Q: V = πT -0.5x Sin 4x 4 +8x-cos2x 2 - X²-4 2²- 19.5x 1.478 -1-082

A: To determine the limit of the following equation.V=π-0.5×sin 4x4+8×-cos…

Q: state whether the following series is convergent or divergent and state which test you used: an =…

A:

Q: y = e²x and x - 2y + 5 = 0

A: I am attaching image so that you understand each and every step.

Q: (A) (в Identify the form of the partial fraction decomposition of the rational function -3² +10…

A:

Q: y = x² and x² = y

A:

Q: The extreme value asian food truck sels 800 BBq buns per week at aprice of$1.50 each.For every $0.10…

A: Explained below

Q: OA-3 Close Date: Wed, Jun 1, 2022, 11:59 PM Question 3 of 9 Meadow Company wants to invest its net…

A:

Q: 1. Assuming that one of the sides of a rectangular field is along a river bank and no fencing is…

A: In this question, we want to know the dimensions of the rectangular field that will satisfy the…

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A:

Q: A spherical water tank 1 ft in radius, has a spout of length 1 ft at the top of the tank, is full of…

A: Given problem:- A spherical water tank 1 ft in radius, has a spout of length 1 ft at the top of the…

Q: Let g(x)= log4 (13-5x). State the domain of g using set or interval notation. . State the range of g…

A: g(x)=log413-5x Given function g is unbounded when 13-5x=0⇒x=135 The equation of the vertical…

Q: y = e²x and x - 2y + 5 = 0

A:

Q: Calculate the area contained between the curve y = cos x, π<x< , and the line y =

A: Given:-y=cosx, -π&lt;x&lt;πy=1/2

Q: Consider the function Step 2 of 3: Find lim f(x). x6+ f(x) = lim f(x) = x→-6+ x² + 12x + 22 19x +…

A:

Q: Q) find differential equation of the following equation 1) y' = y-x y+x

A: Solution of the above differential equation is

Q: Let F(x) = x √ √2+1 dt. Find F"(1) 3

A: Given: F(x)=∫3x t2+1dt Leibniz integral rule for differentiation states that ddx∫a(x)b(x)…

Q: S 2 x² dx x² 2 -9

A: Given,∫x2x2-9dx

Q: lim (-5) (²²-4x-5) x-5,

A: NOTE: Refresh your page if you can't see any equations. . first, we need to find the factored form…