Q: Evaluate the iterated integral. 1₁1²₁1x². (x² - y²) dy dx
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Q: the slope intercept equation of a line that passes through (0,-6) and (3,-4) is
A: Given points are (0,-6) and (3,-4)and here (0,-6) is (x1,y1) and (3,-4) is (x2,y2)We know the slope…
Q: Sketch the region R and evaluate the iterated integral ff- (1-4x+6y) dy dx y -1.0 O -0.5 3 -1 xn-[…
A: The given integral is ∫01∫02(1-4x+6y) dy dx re write the integral: ∫01∫02(1-4x+6y) dy dx =∫01…
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A: Integration
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Q: Consider a triangle ABC like the one below. Suppose that A= 116°, C=36°, and a = 19. (The figure is…
A: A triangle ABC has A=116°, C=36°, and a=19
Q: Decide whether the integral is improper. [ In(x²) dx proper O improper Explain your reasoning.…
A: Here we have to decide whether the given integral is improper.
Q: 3-2ey 3y-zey dy is Зу-2еу {A} - In|3y - e²y|+C The f
A: we have to find the integration.
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: 7. The height (metres) of a bouncing ball can be modeled by the function h(t) = 2sin4t + 2 over the…
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Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…
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Q: For the function whose graph is shown, list the following quantities in increasing order, from…
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Q: Determine whether the improper integral diverges or converges. 00 x²ex dx 0 O converges O diverges…
A: Given query is to find integral converges or diverges.
Q: Use implicit differentiation to find the equation of the line which is tangent to the curve 2xy +…
A: Given equation: 2xy+3x2-5x=4 We know that slope of tangent will be defined by dydx-1,2
Q: 5. y = cos x sin²x What is the appropriate formula? Solution:
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Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…
A: Here, ∫R∫yx2+y2dA is evaluated where R: trapezoid bounded by y=x, y=8x, x=1, x=8 which is:
Q: 3. Solve the linear system below using Cramer's Rule. a+b+c+d=13 2a + 3b c = -1 -3a + 4b + 2c + d =…
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Q: The f sin x cos²xdx is x sin 4x {A} 16 64 sin 4x x {B} 16 16 O A B O - sin³2x 48 sin³2x 48 +C + C…
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Q: 4x+10 1. S (x-2)(x-1)² dx
A: Given integral ∫4x+10(x-2)2(x-1)2 dx
Q: 1. Given the following matrices: A = 1 2 3 4] 24 6 8 1 3 5 7 -1 2 -3 4 a. [(AC)BT] - DT b. [(BD)…
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Q: The graph of a function f is shown below. 6 -1 -2 1 Suppose the function g is defined as g(x) Fill…
A: In this question , we can find the limits of the function. Check when 'x' approaches to 'a' , the…
Q: y = 5x6 − 6x² + x +4
A: Follow the procedure given below.
Q: So whats the answer
A: The question asked for the function f or ft. The last line was the answer.
Q: limn o →0 9-h-3 h 1 6
A: We have to solve above question and find limit
Q: Evaluate the following integrals. Show complete solution and your answer must be in simplified form.…
A: To Find : ∫11+cosxdx
Q: 2. Evaluate each of the following limits using the function f(x), defined below. If the limit does…
A: The given function is: f(x)=x+3x2+5x+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: Using Variable Separable, solve x² (y + 1) dx + y² ( x − 1) dy = 0
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Q: Find the indefinite integral. Solution in handwritten b. f(x+1)√2- xdx
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Q: Determine whether the improper integral diverges or converges. Sº cos(10x) dx converges O diverges…
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Q: Solve the differential equation below using series methods. y’’ — 4xy' — y = 0, y(0) = 4, y'(0) = 2…
A: Here, the given DE is: y''-4xy'-y=0 ...(1) with y(0)=4,y'(0)=2
Q: y = 2-ex 3x-1
A: We know that differential power rule is given as - d(xn)/dx = nxn-1. Here i attached the solution…
Q: Question Consider the function f(x) below. Over what open interval(s) is the function increasing and…
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Q: 5. Consider the function below. Is g continuous on (0,117 on (4,1)? Why or why not? 20 if z ≤0. 3 if…
A: check continuity
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: 0 3. Evaluate the definite integrals: (a) CS Scanned with CamScanner² (x² – 3x) dx (b) 5 1 √I -d.x
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Q: 55. the sum of the first 80 positive integers 56. the sum of the first 120 positive integers
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Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below. 0 3 2- AA. - 2n…
A: Write an equation of the form y = a sin bx or y= a cos bx to describe the graph below.
Q: 1. A man on a wharf, whose hand is 8.2 m above the level of the water surface is pulling a rope tied…
A: Given; Rope length =20m Height =8.2m
Q: A. Indefinite Integrals + C. Evaluate the following integrals. dx x + x3 1 Ans. In x² 1 + x²
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Q: Question 6 Differentiate: y = arccot (x) + arctan 2 + x 1 - 2x 0 1 (E) None of these O:2x O 1-2x
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Q: . find f'(x) if f(x) equals the given expression. a. log (x4 + 3x2 + 1) b. log (3x2 + 2)5
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Q: 3. x³ = x + 2y x-2y " y'
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Q: Determine if y=5 cos x and x=31²-5t+3 dx
A: Given, y=5cosx , x=3t2-5t+3To find : Determine dydt
Q: The equation below gives parametric equations and parameter intervals for the motion of a particle…
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Q: 8. Sketch the curves and determine the area of the region formed in the given interval: y = √√2x, y…
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Q: Write the conjugate of √a +3
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Q: The f sin x cos x dx is not equal to {A} -cos 2x + C {B} sin²x + C {C}-{cos²x + C {D} sin 2x + C
A: A detailed solution is given below
Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…
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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:
exact number no tolerance
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- Calculate the value of the limit lim(x,y)→(0,0) 22xy/x^2+y^2 as we approach (0,0) along the path γ(t)=(−t,t).Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x → ∞ (e−x + 8 cos(3x))Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→+∞ 6e−6x
- For a positive constant "a", the limit:a) Does not existb) = 0c) = 1d) = 1/a15.2.65 #22 Use the method of your choice to evaluate the following limit. lim y ln y/x = (x,y)→(4,0)Let f (x, y) = x3 + y3/xy2 . Set y = mx and show that the resultinglimit depends on m, and therefore the limit lim (x,y)→(0,0) f (x, y) doesnot exist.