a- Use the invers matrix to find the solution of the following system. x-2y 1 2x+y=7 b- If det(A + B) = 5, find the value of a where A = and B = 3 2a

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 3. y = V(4x + 3)³

A: To find the third derivative of  y=(4x+3)34⇒y=(4x+3)34

Q: 4. y +2xy = x+y

A: Given:- y2+2xy=x+y To find:- First and second derivative of given implicit function

Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st state...

A: Here we have to find the true or false statements

Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y = x3 – 3x? + 4x – 12

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other que...

Q: Find the Maclaurin series for the function f(x) = ln(3 + 4x)

A: Maclaurin series of function fx is a Taylor series of function fx at: a=0       fx=f0+f'01!x+f''02!x...

Q: Jnx 13. g(x) = x*

A:

Q: y = ( ビー2 at x=1 x+2

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Q: 2. Which is the interpretation of the statement lim f(x) = L ? i. For all x values close to c, but n...

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Q: 28. Evaluate f 5 sin 3x dx 2+cos 3x a. 2 In 15 sin 3x| + C b.- In 12+cos 3x|+C c. In 15 sin 3x| + C ...

A: Evaluate integral

Q: Consider the initial value problem and find the solution: a. y" – 3y" +y' + 5y = 0, b. y" + 2ay' + (...

A:

Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st state...

A:

Q: Write down a formula for ∂z/∂y if z is defined implicitly as a function of x and y by the equation b...

A: The given equation is yz=e3x+z.

Q: Eliminate the arbitrary constant a from the equation (z - a) + y = a O = + 2ry' O = + 2ry Ov =+ 2ryy

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Q: III. GRAPH ANALYSIS: The graph of f is shown below. Use it to answer A, B, and C -7 f -$ -4 -B O 1 2...

A: Graph of the function is given, we have to find the following limits.

Q: Determine whether the stationary point represents a maximum/minimum f(x,,x,) = 20x, – 4x¡ +9x,x, – 6...

A: Here, the given function is: f(x1,x2)=20x1-4x12+9x1x2-6x22+18x2...(1) with the constrain g(x1,x2)=x1...

Q: 8. If the longest side of a right triangle is 5.5ft and the shortest side is 3.3ft, find third side ...

A: Here, the longest side of the right is the hypotenuse whose length is given h=5.5 ft.

Q: Match the integral expression on the left to its suitable transformation on the right, after using a...

A: Here we have to match the expression on the left to its suitable transformation on the right, after ...

Q: Consider the following sequence: {a,} n=1 An+1 to show that the given sequence {an}is strictly incre...

A: The objective is to show whether the sequence is strictly increasing or decreasing.

Q: In integrating the function fx In 5x dx using integration by parts, what would be your v?

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Q: dy Find for the following function. dx y = 2x cos x sin x dy dx II

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Q: 6. x sec x tan x dx

A: Let's find. 

Q: having

A: We will find the half life. 

Q: Find the domain of the following rational function. x+4 h(x) = x - 16 Select the correct choice belo...

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Q: Determine the Laplace Transform of the given integral equation. A. f (t) = S sin(t - 7) cos(7)dr

A:

Q: [1+sin x) 'cos x dx (sin x)4 +C A ) x+ sin x + B -(1+ sin x)*+C (sin x)4 -+C 4 sin x +

A: Substitute, 1 + sin(x) = t

Q: dx 14. Evaluate S: 9x2+36 a.)능an-1 3x +C b.) 습tan-12x +C c.) tan-+ C d.) tan-i 2x + C 15. Evaluate f...

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Q: xp- A 3 X - 2ln (x²) + C + In (x²) + C D +C + B.

A: Given query is to find the value of the integral.

Q: Using integration by parts, evaluate x cos(3x) dx x cos 3x - sin 3x + C Option 1 x sin 3x - cos 3x +...

A:

Q: WHich of the following represents the shell height if the shell method will be used to find the volu...

A: Given problem:- Which of the following represents the shell height if the shell method will be used ...

Q: 2. x2 – xy + y2 = 3, find y". 3. Find the equation of the tangent to the graph y = x Vx-1 at ( 5, 10...

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Q: (x )dv, using simple substitution dv=f(x)dx_ Determine the value of f(x) if To evaluate the integral...

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Q: Vil 12 sin (x) cos' (x)dx by using walli's formula. 27. a is equal to? A.1 B.O C.1/10 D.pi/2 The def...

A:

Q: Activity 1: Determine the number at which the function 1 is not satisfied. x2+x-6 if x # -3 1. f(x) ...

A: See the details solution in below

Q: Write down the equation of the line that passes through the points (5, -1, 2) and (3, 1, 1). Using v...

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Q: A solution of a DE identical to zero, that is, f (x) =0 for all real x in a given interval is called...

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Q: Find for the following function. dx 4 sin x y = 9 -8 sin x dy dx II

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Q: The population of Amoeba Proteus is known to grow at a rate proportional to the amount present in a ...

A: Given problem:- The population of Amoeba Proteus is known to grow at a rate proportional to the amou...

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

A: The given series,       ∑k=1∞-1011k-1

Q: Find values of C1 and C2 so that the given functions will satisfy the prescribed initial conditions ...

A: A detailed solution is given below.

Q: sinx 3. f(x)=(x)'

A: Given: f(x)=xsin xTo find the first derivative of the given function Formula: (uv)'=uv'+vu'ddx(sinx)...

Q: Find the derivative of y with respect to x. y = 8 In (4 In x) dy dx II

A: Topic:- derivatives

Q: 15 dx Evaluate V9+ x²

A:

Q: Determine the solution of an initial value problem; 2e cos2x dx + (e'sin2x+3y sec?y2) dy=0 y =0 2e's...

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Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the...

A: Given,f(x) = 3 x2 + 5x a)f'(x) = df(x)dx = 6x +5f'(a=-2) = 6 . (-2) + 5                = -12 +5     ...

Q: Xe dx (x + 1)² 4.

A:

Q: 9. An employee borrows Php60,000 for seven months at an interest rate of 12% per year. Find the inte...

A: Principal=P=Php60,000 Rate=r=12% per year Time=t=7 months=712 years Interest=Int=P×r×t100=60000×12×7...

Q: Question 1 If T is a linear transformation such that T(1, 0, 0) = 2, T(0, 1, 0) = 3, and T(0, 0, 1) ...

A: A detailed solution given below.

Q: ソニqett 10 =50e-0,0357+ 5oe ○.2 ニe-0,0357ナ Inco.2)ニ =-0.3577 Tニ

A: y=aekt10=50e-0.0357tDivide 50 on both side1050=e-0.0357t15=e-0.0357t0.2=e-0.0357tapply ln on both si...

Q: What is the degree of the differential equation? d?y 2 %3D + dx dx?

A:

Q: You invest $2100 in an account at an interest rate r, compounded continuously. Find the time require...

A: Continuous compounding interest is given byP(t)=P0ertP(t)=value at time t P0=original principal sum ...