EC) Determine the value of the definite integral -1 ² (4x³ + 5)³dx .

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A: Given; a=4, b=3

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

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A: The above series converges to

Q: In 23 In y SS 10 Evaluate the integral The value is. (Type an exact answer.) ₂x+y dx dy.

A: The given integral,     ∫0ln 23∫0ln yex+ydx dy

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Q: A sketch of the region enclosed by y = x and y = f Area of the region = fot 4.25 2²+1 follows.

A: Given: y=x and y=4.25xx2+1 First find the intersection point Thus, x= 4.25x1+x2 ⇒1+x2= 4.25⇒x=…

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A: The correct answer is option (2).

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A: Here, the work done is given by: W=∫018f(x) dx

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z)=2 ex cos (yz), Po(0,0,0),…

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Q: find do if yot' and both de and h = X

A: We will find the derivative.

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Q: 2 cosh x +losion2x = 5

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

Q: 6) Write an equation of the plane through the points P(5,3,8), Q(6,4,9), and R(3,3,3).

A: The plane passing through the points P5,3,8, Q6,4,9 and R3,3,3

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A: We have to choose correct option.

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A: Here is the solution of the given problem. Application of derivative. Maximum and minimum.  Critical…

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Q: The interval of convergence of the following Power Series +∞ Σ nxn 4¹ (n + 1) n=1 ]-4,4] [-4,4]…

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.2 cm/min.…

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Q: Find all points c satisfying the conclusion of the MVT for the function f(x) = 7e-⁹x + 4 and…

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Q: Use the following function and its graph to answer (a) through (d) below. Let f(x)= 3x 6-X. x4. a.…

A: Given function, f(x)= 6-x, x<4        =3x/4 +3, x>4

Q: What is an equation for the cosine graph shown below? -135 -90 -45 -11 -10 +9 8/ -7 -6 -5 3 2 1 45…

A: Given query is to find the cosine equation of the function.

Q: Let f(x) = In(64x2 + 16x + 26). (If an answer does not exist, enter DNE.) (a) Find the interval(s)…

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

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Q: State what the dot product of two non-zero perpendicular vectors is. Justify your response.

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Q: 9) Find the equation of the tangent line to the function f(x)=-3x² - 2x at the point where x=1. Give…

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Q: Using a particular trigonometric substitution 2 1 + x dx √3 +1-V 4 26 π - the above 1+ 13₁ 2 √1-x²…

A: To solve the given integral.

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Q: Compute the indicated sin α = 15 17 cos B = cos = (a) (b) - 4 5 quantity using the following data.…

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Q: The Taylor Series generated by f(x) = ln(2 + 4x) at x = 0 is f(x) = In 2 + 2x - 2x² + ²/² x³ + ·…

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Q: Find all critical points of f(x) = 4x³ + 4x-3. (Use symbolic notation and fractions where needed.…

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Q: In problems 5 and 6 find the particular solutions of the given differential equations. d²y dy +9y =…

A: To find the solution of the given differential equation.

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A: Given query is to find indicated vector operation.

Q: 4. f(x) = 1-x 2x²-5x-3

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

Q: II. Solve the following problems. Enclose final answer. 10. At what rate is the vertex angle of a…

A: Given:-radius of right circular cone, r=3 ftaltitude of right circular cone, h=4 ftaltitude is…

Q: so cosA/sinA is my answer?

A: Let's simply given expression.

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Q: 3. f(x) = = 3x² x² x+5 4

A: