Given the vectors à, b and è in 3dD. Identify which of the following operation is possible or not possible. a) (ả.) b) ảX (.)

Q: Question Use the binomial series expansion, 1 for the function f(x) = = ✓1+4x4 If necessary, round…

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Q: 2. (4x³-3)dx

A: Let's find.

Q: Let f(x)=√18 x. Compute f'(2) using the limit definition f'(2) = Find an equation of the tangent…

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Q: valuate the triple integral ***"* sin² (z)ze-²v³ dzdyda

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Q: The cos³4 dy is {A}-sin+sin³¹+C 3 4y 4 3 3 {B}sin-sin³¹+ C 3 4 3 (c)-sin-sin³+C {D}sin+sin³+ C

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Q: =H.w.2 Evaluate the following cartesian integrals by - changing them into equivalent Polar integrals…

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Q: a. f(x) = on [-1,4] 1²+2 b. f(x) = I√4-1² on [−1,2] c. f(x) = 2 sec r - tan r on [0,1]

A: At the  extremum of a function f(x), the first derivative is zero.

Q: Use finite approximations to estimate the area under the graph of the function f(x) = x² + 1 between…

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Q: A. Using chain rule find the derivative of the following functions. 1) f(x) = (x³ + 3x²) 200 2) f(x)…

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Q: Consider the following. Let u = 4x³ - 1. Find du. du = dx Indicate how the limits of integration…

A: The given definite integral,          ∫01x24x3-14dx

Q: Use the simplex method to maximize the following: Maximize f=6x1+4x2+10x3f=6x1+4x2+10x3 subject to…

A: We need to use simplex method.

Q: - x³ + x² + 2x + 1 (x² + 1)(x² +2) da

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Q: Given that f (t) = t³e²t sint, which process will yield the less complex and correct Laplace…

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Q: Use a triple integral to find the volume of the given solid. The solid enclosed by the cylinder y =…

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Q: 9. f(-5) = (5)²-19 = 25 -19 -6 b. lim x²-19 X→-5 = (-5)² -19 = 25-19 = 6 с C f(-5) = lim f(x) X-7-5…

A: Solution is given below:

Q: Find the future value of a $20, 000 annual income stream if it is invested immediately as it is…

A: Hee, use the formula: FV=erM∫0MS(t) e-rt dt

Q: Comput: f dx 2+x

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

Q: Evaluate the iterated integral. LS²(x+y (x + y²) dx dy

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

Q: Given that the tangent and normal to a curve at point P(x, y) meet the x-axis in A and B…

A: It meets the x axis in A and B respectively and y axis in D and E respectively.To Find: Family of…

Q: Find the Taylor series for f centered at 9 if f(n) (9) = (-1)^n! 2^(n + 1) n = 0 What is the radius…

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Q: 3.In 2 X 3x + 1) = ² ₁ X ‚ y'

A: Let us consider the expression, ax+by=c Using Implicit differentiation on both side we get,…

Q: x²-3x - 7 √ - (x² + x + 2)(2x − 1) dx

A: Given: I=∫x2-3x-7x2+x+22x-1dx   As we know that; ∫1ax+bdx=1alnax+b+C

Q: Find the indefinite integral. Solution in handwritten a. S dx sin x cos²x

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Q: Decide whether the integral is improper. [In(x³) dx proper O improper Explain your reasoning.…

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Q: For a person at rest, the velocity v (in liters per second) of air flow into and out of the lungs…

A: Explained below

Q: A. Write the expression as a single Integral. Choose your answer from the box. Letters only. A. f…

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Q: a 10-foot ladder is leaning against a vertical wall when Jack begins pulling the foot of the ladder…

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Q: 1. Given the following matrices: 12 3 41 4 2 4 6 8 A = B = 85 1 3 5 7 4 4 2 a. [(AC)BT] - DT…

A: Given the following matrices:A=123424681357-12-34, B=479853442, C=112335-23-4-1-11,…

Q: * Find the derivative lic F (+) = (+³-2+ +1) (2+²

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

Q: Part 2: Exponential Growth and Decay and Logistic Growth Model (3) Suppose an experiment was…

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Q: 10. | x³(lnx+1)8x* dx

A: To evaluate the integral: I=∫xx(ln x+1)8xxdx=∫8xxxx(ln x+1)dx

Q: 29. aj = x, a₂ = x+3 30

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Q: If F(x) = f(t) dt, where f is the function whose graph is given, which of the following values is…

A: F(4) is the answer.

Q: 1 A tank with a capacity of 400 gal initially contains 100 gal of water with 50 lb of salt dissolved…

A: 100gal=Initial amount of water in 400gal tank50lb=Initial amount of salt in the tank1lbgal=salt…

Q: In (x² + y² ) = 2 arctan y' 9 X

A: We know that derivative of xn is nxn-1.     Here i attached the solution of this question.

Q: 5. a) All edges of a cube are expanding at a rate of 3 cm per second How fast is the volume changing…

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Q: 32 Question * (3 Points) The proper transformation for sin²x to make the f sin²x dx readily…

A: substitution

Q: Find the area bounded by r = 6cos (30).

A: Given: r=6cos3θ

Q: Plot y = B sin(Aπx) cos(x) with a solid line over the interval 0 < x < 3 with the vertical axis set…

A: close allclear allformatclc A = 21;B = 5;C = 3;y1 = @(x) B * sin(A*pi*x) .* cos(x);y2 = @(x) B *…

Q: Evaluate the iterated integral. LP'&x+yaxay (x + y²) dx dy

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Q: Use a graph to estimate the coordinates of the lowest point on the curve x = t³ - 31, y = 1² +1+1.…

A: Consider the parametric equation x=t3-3ty=t2+t+1 Sketch of the parametric equations is shown below.

Q: Find the total length of the curve r = acos² 0. (A) 3.12a B) 6.89a 1.19a 5.52a

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Q: Evaluate the iterated integral. [²] (x² - y²) dy dx

A: Given: I=∫-11∫-44x2-y2dydx   As we know that; The Power rule; ∫xndx=xn+1n+1+C

Q: Show that the Differential Equation is EXACT and then solve it. 2. (cos2y - 3x2y2)dx + (cos2y-…

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Q: Evaluate the iterated integral. 8 3 (x + y²) dx dy -1/1

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Q: 5. Evaluate the integral, if it exists. a. L₂(x¹ - 3x¹/3 + 1) dx b. √₁³ (2ex - ²) dx

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Q: What is the equation of the conjugate of the hyperbola 25x² - 16y² = 400? (A) 16y²-25x² = 400 (B)…

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Q: Evaluate the integral order of integration. NOTE: Enter the exact answer. I fe e² dx dy= = e² dx dy…

A: Given:         ∫06∫y23ex2dxdy  Reversing the order of integration.       y2≤x≤3    y≤2x≤6…

Q: Find the curvature of the curve r(t) = (3 cos (4t), 3 sin(4t), 4t) at the point t 0 Give your answer…

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Q: ANSWER

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