Q3: Let L be the line of intersection of the planes 3x + y -z = 4 and 5x + y + 2z = 1 Find the plane equation that passes through L and the point A(1, 0, -1).

Q: Evaluate the following integral. 22x² S= x4-61x² +900 Find the partial fraction decomposition of the…

A: An indefinite integral is provided. We have to evaluate it by using the partial fraction…

Q: :.S •√ √x(x² – 3x + 2)dx

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Q: Solve the triangle, if possible. a = 150 m, A = 31.53°, C = 22.95° Select the correct choice below…

A: This question can be solved using the concept of sine rule.

Q: True or False: We have Select one: True O False 2 x² dx > 2 [₁² x x³ dx 3

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Q: What point on the parabola y=3−x2 is closest to the point ​(3​,3​)?

A: Basic differentiation is required.

Q: 15. The length of the side of a square is increased by 100%. Its perimeter is increased by A. 25% B.…

A: The length of the side of a square is increased by 100%. Its perimeter is increased by how much…

Q: J = * By using trapezoidal rule, n=2, The integral π/2 sin (x) dx 0.9482 0.9480 0.9481 0.9444…

A: To evaluate the integral J=∫0π2sin(x)dx usiing Trapezoidal Rule:

Q: Determine the Inverse Laplace transform for 5s + 2 C-¹{² +65 +13) 1- f(t)= 5e³ sin 3t+ 13 e³ cos 3t…

A: Given problem:-

Q: 2. find the derivative of the function g(x, y, z) = 3e* cos yz ,at the point P. (0,0,0) in the…

A: We have a given function g=3e^x cos(yz)

Q: Find the volume of the tetrahedron bounded by the plane z=4-4x-2y and the coordinate planes. I

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Q: . find the derivative of the function g(x, y, z) = 3e* cos yz ,at the point P.(0,0,0) in the…

A: To find the derivative of the given function g(x,y,z) at the given point P0 in the direction  Of…

Q: Find the critical points of the function f(x) = 4 cos² (x) contained in the interval (0, 2). Use a…

A: Follow the procedure given below.

Q: S HENN -dx x4-4

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Q: True or False: We have Select one: O True O False 8 [√x dx √xdx = 12.

A: We have to find the given value of integration is true or false.

Q: Find the equation of the line, in slope-intercept form, that TANGENT to f(x) = 3x² − 10x +1 at x =…

A: Given that fx=3x2-10x+1 at x=3Solution :equation of line in slope intercept…

Q: Use the matrices below to perform the indicated operation if possible. B If the operation is…

A: To find out 2C+B

Q: A company can produce a mini optical computer mouse at a cost of $7.50 each while fixed costs are…

A: A To find; The average cost function. Given information; The company cost function is Cx=7.5x+80.…

Q: At time t hours after taking the cough suppressant hydrocodone bitartrate, the amount, A, in mg,…

A:

Q: Consider the double integral f(x,y)=(x²+y²)3/2 over the region R where y is bounded between 0 and…

A: Solution is given below:

Q: 4. 4 1 SSx 20 x²ydxdy

A: Topic = Integration

Q: J 3. Use a partial fractions decomposition to evaluate x² + 2 (x - 1)(x-4) (x + 2) -dx.

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Q: Solve the system of equations by any method. -2x + 5y = −35 7x + 2y = 25 Enter the exact answer as…

A: We use the elimination method to solve the given system of equations.

Q: n=1 n√n Q5: Find the area shared by the cardioid r = 1 + cos and the circle r = 3 cos 0. Graph the…

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Q: Convert the polar coordinate (5, 1) X = y = to Cartesian coordinates.

A: Note that, cartesian to polar conversion is given by: x=rcos θ, y=r sin θ

Q: A man travels in a motorized banca at rate of 12 kph from his barrio to the poblacion and come back…

A:

Q: 1 The linear approximation of tan-6° is? approximation of 3√9 is? 2 The linear

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Q: A fast-food restaurant has a cost of production C(x) = 14x + 160 and a revenue function R(x) = 6x.…

A: Sol Cx=14x+160,R(x)=6xHence , Profit Function P(x) = R(x)-C(x)

Q: Numerically estimate the slope of the line tangent to the graph of the function f at the given input…

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Q: The strength of a patient's reaction to a dose of x milligrams of a certain drug is R(x) = 4x√11…

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Q: What interest rate was applied if a loan of ₱54,300 will amount to ₱83,000 after 2 years and 6…

A: NOTE: Refresh your page if you can't see any equations. . here we have P=54300 A=83000 t=2 years and…

Q: A mug of beer chilled to 32 degrees, if left in a 68-degree room, will warm to a temperature of T(t)…

A: A mug of beer chilled to 32 degrees, left in a 68-degree room,will warm to a temperature of…

Q: Evaluate 4 2 4 X 13.402 -13.402 13.042 √x + 3 3 X 4 - 4 + 4 + 1 + x)\dx = None of them -13.420…

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Q: • (-1) k2k k² k=1 Use the Ratio Test to determine whether converges absolutely or diverges.

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Q: Determine the point on the curve y = 19x² closest to the point (0, 5) with x>0. What is the slope of…

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Q: Write an equation for the transformed logarithm shown below, that passes through (2,0) and (1,3) N 4…

A:

Q: can you please write it clearly for better un

A: To convert the polar coordinate 5, π4 to Cartesian coordinates.

Q: 5 sin-¹ (²-)). 6 Determine the exact value of sec sin Note: Be sure to enter EXACT values You do NOT…

A:

Q: Given this boundary-value problem: d²y y + d0² 4 which has the solution y = 2 sin(0/2), 0, y(0) = 0,…

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Q: 1. Use a trig substitution to evaluate √9-x² 3√3/2 x² -dx.

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Q: H.W: Solve the differential equations: dy 1. +2y=ex dx dy 2.2-y=ex/2 dx

A: To solve the differential equation:

Q: Compute the line integral of f(x)=2x over the curve y=x² from (0,0) to (1,1). |

A: The line integral of f(x)=2x over the curve y=x2 from (0,0) to (1,1)

Q: True or False: Suppose e is constant. Then is equal to 12e. Select one: O True O False 6 -6 edx

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Q: 38. The amount of P 20,000 was deposited in a bank earning an interest of 6.5% per annum. Determine…

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Q: Sketch the figures and show step by step solutions. Find the area lying above the x-axis and under…

A: We have to find area for given curves.

Q: can you please write it clearly for better un

A: see below the answer and calculation

Q: On his first three quizzes, Patrick earned a 15, 18, and 16. (A perfect score would have been 20…

A: On his first three quizzes, Patrick earned a 15, 18, and 16. (A perfect score would have been 20…

Q: Find the position of a body moving on a coordinate line at time t for an acceleration a= dt² initial…

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Q: 25 5.²5 4 Incx √x dx

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Q: 1. 2. 3. 1 | TV251 4. 5. 25²-4 dr -5 3* [cos (3*) - sin (3")] sin*(3*} 5v7,5v² Vr dr 3log(s) + secr…

A: Given ∫3x[cos3x-sin3x]sin2(3x)dxTo evaluate the integral:

Q: Suppose that f′​(x)=2x for all x.   ​a) Find ​f(−4​) if ​f(0)=0. ​b) Find ​f(−4​) if f(2​)=1. ​c)…

A: Suppose that f'x=2x for all x. a To find f-4 if f0=0.b To find f-4 if f2=1.c To find f-4 if f-3=10.