Using a vector method to compute the area of the triangle (ABC) that show in figures 3 A 30 30 B C →X

Q: 2.4 Say -1.5 Sx+20 X+6 dx

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Q: Which of the following graphs exhibit ALL of the listed properties: lim f(x) = -1, x x ● lim f(x) =…

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Q: Find the area of the shaded region. 5) (8.-3) y = √x - 3 (16,1) 16 X

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Q: Write the augmented matrix of the system and use it to solve the system. If the system has an…

A: Concept: The Gauss Jordan Elimination, also known as the Gaussian Elimination, is a method for…

Q: What values of a and b make the function f continuous everywhere? a= and b = f(x) = x² x ax² 12x -…

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Q: Which one of the following is the general solution of 3 + 5y = 1? dz y=+cel -+ce where CER ++ where…

A: To find the general solution of given differential equation

Q: 2. d. Explain the difference between f(a+h)-f(a) h and lim h→0 f(a+ a+h)-f(a) h Use the definition…

A: Please see the below picture for detailed solution.

Q: A geometric series has first term a and common ratio r where r>1. The sum of the first n terms of…

A: Given: The first term of a geometric series is a and the common ratio is r where r>1. The sum of…

Q: Using the substitution u = sec(x), rewrite the integral tan7 (x) sec(x) dx as an integral involving…

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Q: Which of the following graphs exhibit ALL of the listed properties: • lim f(x) = 1, 2-00 • lim f(x)…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: he following figures show the price of gold per ounce, in dollars, for a 10-business-day period.…

A: Price variation of gold as follows  1,030, 1,026, 1,035, 1,025, 1,026, 1,022, 1,016, 1,029, 1,003,…

Q: When a sprinkler is set to full rotation, the water covers a circular section of garden with radius…

A: Please see the below answer.

Q: Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson's Rule to approximate the given…

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Q: Let P be a point not on the plane that passes through the points Q, R and S. Show that the distance…

A: Use the projection formula then concept of vector triple product.

Q: Find the absolute maximum and minimum of the function f(x, y) = x² + y² subject to the constraint x²…

A: Given data : f(x , y) = x2 + y2 ; Constraint is x4 + y4 = 1

Q: Solve the initial value problem for y(x): y" - 7y +10y = 0, y(0) = 1, y'(0) = -1

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Q: 1 7. For f(x) write the linear approximation at a = 0 and estimate f(-0.1). 1 + x (Note: The…

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Q: If In = f(In x)" dx, show that In = x(lnx)" - nln-1. Hence find f(In x)³ dx.

A: Given that In=∫ln xndx, we have to show that In=xln xn-nIn-1 and also find the value of ∫ln x3dx.

Q: A line is divided into 10 equal parts. if the measre of eachpart is a prime integer, what is the…

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Q: cx² + 4x C x³ - cx Find the value of the constant c such that fis C = Let f(x) - if x < 5 if x ≥ 5.

A: Solution If the function is continuous at x=5, than we will find value of c, cx2+4x=x3-cx Now put…

Q: Use Gauss-Jordan row reduction to solve the given system of equations. HINT [See Examples 1-6.] (If…

A: Given equations x  −  5y  +  z  −  6w  =  1 x  +  6y  +  3z  +  3w  =  2 2x  +  y  +  4z  −  3w  =…

Q: K Use the product rule to find the derivative of the following. -1 p(y) = (y¹+y 2) (4y 3-6y 4) p'(y)…

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Q: For the curve given by ind the following: dy 1. = 3²-3 2. de = 4t 3 3. d 4. d 3 4t Determine the…

A: Given query is to find indicated derivative.

Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

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Q: Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy 2 +…

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Q: If y = (4x + 1)(x + 3), find the equation of the tangent line to the curve at x = -2. Tangent line:

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Q: Graph the solution set of the following linear inequality: −y − 4 ≤ - 2x

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Q: 17. dy dx = y - x y + x

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Q: Use technology to examine each function numerically and graphically. Find the limit as x tends…

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Q: Question 6 Let f be a function which is one-to-one and differentiable on (-∞, ∞). The following…

A: Let f be a function which is one-to-one and differentiable on -∞, ∞. The following table gives some…

Q: Find d²y 히 2 dx y = -5x + 2

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Q: 11. cos 15° cos 60° + sin 15° sin 60°

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Q: Let lim g(x)=8_and_lim h(x) = 5 x→4 x→4 Determine the value of the limit h(x) lim x→4 x + g(x)

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Q: Consider the function f(x) = 5x² 40x on the interval [0, 7]. Find the absolute extrema for the…

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Q: Find the tangential component at and the normal component an of acceleration at the t = 1 if r(t) =…

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Q: Graph the level curves for z = 2x - 3y for z = 0, 1,2 on the same ry plane, and label them.

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Q: A space shuttle orbits the earth at an altitude 150 km above the earth's surface, with constant…

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Q: bes the an = n 3⁰ {ans Select the correct choice below and, if necessary, fill in the answer box to…

A: The given sequence is;  an=n/3n.

Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs about the axis.…

A: Please see the below picture for detailed solution.

Q: (a) The domain and range of f. [-5,5] [-5,1] domain range 1 decreasing (b) The intervals on which…

A: The given graph is

Q: Calculate the integral, assuming that √5 ƒ(x) dx = 2 and ³ g(x) dx = 3. (Give your answer as a whole…

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Q: Oz ду If cos(xyz) = 1 + x²y2 + z², find and Ox Әх

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Q: Find using partial derivatives. dy dx sin(5x) + tan(9y) + 4 = 0

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Q: Consider the function f(x, y, z) = xy + yz²+xz³. Find the gradient of f: ( Find the gradient of f at…

A: Given : Gradient

Q: Prove (cos A)* - (sin A)¹ = cos 2A

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Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. an n O A.…

A: The given sequence is: an=11n11n As  n→∞ , we get an INDETERMINANT FORM:  00  L'HOPITAL'S RULE:…

Q: Find the critical point of the function f(x, y) = − (36x + 6y² + ln(|x + y))) . C= Use the Second…

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Q: Find the differential of the function. du = U = √x5 +9y5 dx + Need Help? Read It 3) dy

A: Here we have to find the differential of the function.

Q: For the given functions f and g, find the requested function and state its do f(x) = x-9; g(x) = 9x²…

A: Given query is to find indicated function and it's domain.

Q: You are to manufacture a rectangular box with 3 dimensions x, y and z, and volume v = 125. Find the…

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