Problem #1: Find dy: dx y5e-9x + 8x4 - y8 = 15

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A: Since you have posted multiple questions i can do first question as per our company guidelines,…

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A: Nadia wants to get to the bus stop as quickly as possible. But The bus stop is across a grassy park,…

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Q: The number of points of inflection of f(x) = at is 03 02 01 0

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Q: Use the graph to estimate the limit of the function shown in blue as x→-1. O The limit does not…

A: Note :- Since you have posted multiple questions, we will provide the solution only to the first…

Q: Let A=(¹). 3¹). Find 3A³2A² + 5A - 12.

A: Given: A=1-123 We are required to find: 3A3-2A2+5A-I2

Q: Let M be a hermitian matrix. Fill in its missing entri- M = -3 -9 - 5i 1 - 2i -4 −6+2i 0

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Q: Consider the following vector function. r(t) = (3t2, sin(t) - t cos(t), cos(t) + t sin(t)), t> 0

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Q: Q3: Solve the differential equation by the Laplace: (choose one) 1. y" - 3y' + 2y = 16e³t 2. y" +…

A: Note : as per guidelines we support only first question.kindly repost next question.

Q: Here again, is the triangle from Question 1. 4√3 X 30⁰ Enter the value of y here. If necessary,…

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Q: Find the average value of f(x) = = √x² − 1,1 ≤ x ≤ 6. - X

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Q: Consider the region bounded by the graphs of y = (a) Find the volume of the solid generated V = (b)…

A: According to question,Given Function,y = 2xx2+1

Q: 1. lim 1-2x - 3x² 1+x X→-1 2. lim X-2 3. lim √5+y-√5 y-0 y

A: Given: limx→-11-2x-3x21+x First, simplify the expression -3x2+2x-11+x: Factor the numerator:…

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Q: Evaluate the definite integral foto tº cos(t5)dt: 5/π/2 Step 1: Start by making the substitution…

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Q: Use partial fractions to find the area of the given region. 7 16x² y = y 3

A: Now area of the region f(x) from a to b formula Area=int_a^b f(x) dx

Q: Write a pair of parametric equations for the conic section. t² Ox=-₁₁y=t x=t, y = t² 3 --2 +…

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Q: Use a table to find the Taylor polynomial P3 (x) for f(x) = √I-T around c = 2.

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Q: 2. S dx x√x4-4

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Q: Multiply and simplify completely: √12x³y¹5. √√6x²y-7 Your answer will be in the form A√B, where A…

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Q: Find the 4 th Taylor polynomial of f (2) = Ti ( z ) - N s ( 2 ). If zg= 0 COS N

A: Solving the problem

Q: (b) Find a power model and a quadratic model for the data. (Round all numerical values to four…

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Q: Correct your answer as an integer or a simplified fraction. -3x+12=-x+2 in the answer box.

A: -3x+12=-x+2

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Q: , 103√x - √x X dx

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Q: For an object whose velocity is given by v(t) = - +4, what is its displacement on the interval t = 0…

A: Given that valocity v(t) = - t2 +4. And interval is t=0 to t=3. We find displacement on this…

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Q: X-25 (x-2) √√x²+2x Converges? Dieverges? dx AND WHY?

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Q: A region bounded by f(x) = x + 1, y = 0, x = 1, and x = 4 is shown. What is the volume of the solid…

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Q: S sinxdx 7+ cos²x

A: integration ∫sinx7+cos2xdx

Q: Evaluate the surface integral. Jy y ds = ²/3 (x³/² + y³/2), 0 ≤ x ≤ 5,0 ≤ y ≤ 3 S is the surface Z =

A: ∬sfx,yds=∬Dfx,y1+∂z∂x2+∂z∂y2dA Note:- Since you asked multiple question , according to our policy we…

Q: Compute the following indefinite integrals showing ALL steps. Remember the constant of integration.…

A: I=∫extan-1exdx

Q: What is the total change of f(x), if f'(x) = cos(2.5x), over the interval [0, π ]? -1 -0.4 0.4 0.6

A: The derivative of f(x) is

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Q: 4. 21-25 Use the form of the definition of the integral given in Theorem 4 to evaluate the integral.…

A: Note:- Since you asked multiple questions, according to our policy we can solve only first question…

Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) x2 - 2x x2…

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