11. Find the angle between the planes: 4y + 3z = -12 and 3x +2y + 6z = 6.

Q: Solve the initial value problem y" + y = 0, y(3) = 8, y'(n/3) = − 16 Oy(t) = √√√3cost + 8√/3sint…

A:

Q: Question 8 Find the partial derivative of z with respect to x None of the choices dz (2r−y) да…

A:

Q: B)Solve differential equation dy -(x²+y) = dx x+siny

A: Given that,

Q: B)ls w = Ze² analytical function or not?

A:

Q: Q6A)If y sin find Zxy.

A:

Q: Cos y dy 1-siny

A: The given integral is: I=∫cos2y1-sinydy   As we know that; The trigonometric identity: sin2x+cos2x=1…

Q: sin20 B)Evaluate the integrals: i) f/20 rdrde ii) f/2/2fix z² siny dz dy dx. sinx tt)

A:

Q: Solve using Inverse Operaators. y"" - y = 4e-x + 3e2x; Particular Solution: Y=C1+ C₂ eax + C3 ebx…

A: Given that,

Q: Question 10 Given z = (e-22) (sin y), find 92 O-2e-2 O-2 e 2 (sin y) + e-2 (cos y) O-2e-2 (sin y) -2…

A: We have to find derivative of given term.

Q: If [ f(x) dx O 10 0 2 O O -2 = 4 and 4 [*g(x)dx = 6, what is 5 2 [ f(x)dx + ² g(x)dx? 4

A:

Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A:

Q: Consider the graph of y = f(x) shown below in blue. Find the open interval(s) where f'(x) is…

A:

Q: Give the domain and the range of the function whose graph is shown to the right. When arrows are…

A: Graph of the function is given, we have to find its domain and range

Q: You are given the following information about the function f(x): a) Domain: {x ER} b) Vertical…

A: Solution :Given f'x=41-x2x2+12integrate both sides∫f'xdx=∫41-x2x2+12dxlet,…

Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B.…

A:

Q: Find the general solution of the following differential equation. 4y" +36y' +81y = 0 NOTE: Use c₁…

A:

Q: State the coordinates of intercept(s), end behavior, and domain and range of the logarithmic…

A: Lets have the graph of the given function to better understand above requirement

Q: c. Given f(x) = 2x - 3, g(x) = -4x² +9, h(x) = 4x² - 12x +9; find 1. f(x)* g(x) 2. h(x)/ f(x) 3.…

A: Dear learner, As per our guidelines, we can provide the solution for first three parts only. Kindly…

Q: Find the unit tangent vector T(7) for the line tangent to the space curve r(t) = (12 cost, 12 sint,…

A:

Q: A company determines that the cost of making units of commodity is C(x) = 480000 + 2.4x - 0.0008x²…

A: Given C(x)=480000+2.5x-0.0008x^2

Q: Let one week's supply and demand functions for gasoline be given by p= D(q) = 288-39 and p = S(q) =…

A: Here, the demand and supply functions are: D(q)=288-43q & S(q)=23q which are the linear…

Q: dx 5 - 2x Evaluate: S O2 ln |5-2x + C -2 + C 5-2x O -1 2(5-2x) + C On 15 - 2x + C

A:

Q: S 2³x dx = 0 23x+1 3x+1 23x In 2 O O O + C + C 23x + C In 8 2³x In 2 + C

A:

Q: B)Is w = Zez analytical function or not?

A: In this question, we want to know whether the given function is analytic or not.

Q: If g(x, y) = x² + y² 6x, find the gradient vector Vg(1, 6). Vg(1, 6) = -4,12 Use the gradient vector…

A: Given that , gx,y=x2+y2-6x find the gradient vector ∇g1,6 and tangent line to the level curve…

Q: Test the following series for convergence or divergence. State the test you are using and show all…

A: We need to check whether the given series diverges or converges.

Q: 5. 3√√xdx 6. S dx dx 7. S- X 8. f s 2dx 3 2x -10

A: Given

Q: f(x-1) e-2x+x² dx = O 1 -2x+x² e 2 2e-2+2x+C 2e-²x+x² + C e-2x+x² + C + C

A:

Q: 6. 7. 3+6s+45²-25³ s² (s² + 3) 26-5²- s(s² + 4s+13) [2+1+√√3 sin √√3t-4 cos √√3t] 2 [2-3e-2t cos 3t…

A: To find the inverse laplace of the following.6 3+6s+4s2-2s3s2s2+37 26-s2ss2+4s+13

Q: () + + C) + () + C) (ع) 77 ساح 0 27

A:

Q: Past records from a factory producing electronic components show that on average, new employees can…

A: Past records from a factory producing electronic components show that on average, new employees can…

Q: Classroom activity 9.1 the monthly income earned by each of the following workers paid by the hour…

A: We have to determine the monthly income.

Q: Lets a real constant such that s ≥ 0 in the process of calculating = 1,500 3.1 di you get: O a) I =…

A: s real constant such that s≥0I=∫1+∞x-3.x-sdx

Q: Q2A)Matrix 4 = [],find Eigen values of 4². A

A: The given matrix is  A= 1342. We have to find eigenvalues of A2. Eigenvalues are the roots of the…

Q: Q4A) Find area bounded by y = 0, y = √x-x² using double integration.

A:

Q: Q1A)The vectors A = 3i+j+ 4k, B= 2i-3j-k, find vector normal to A and In plane of A and, B.…

A: Let's call the vector to be found is C. C vector will be normal to both vector and A and B. we can…

Q: 2. limx-co √x √x+√√x+√x

A: Here we have to find the value of  limx→∞xx+x+x

Q: 1 1² +49 When solving O a) I = [sen (0) de Ob) I=tan(0)de O c) I = cos(0)de I= O d) I-sec(0)de I=…

A:

Q: 1. The radioactive isotope hydrogen-3 has a half-life of 12.3 years. a. If a sample of 80 mg of…

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Q: A kite is 30 ft. high and is moving horizontally at a rate of 10 ft./min. At what rate is the string…

A: Calculate the rate in the following way:-

Q: Write a function of x for each rule given. a) Multiplies the input by 3 and then adds 9 b) Adds 9 to…

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Q: Proceed as in this example to find the solution of the given initial-value problem. Evaluate the…

A:

Q: 2) By using Lagrange multiplier method, find the maximum value of f(x, y, z)=x+ z subject to the…

A: Given function:-     f(x, y, z) = x + z subject to condition x2 + y2 + z2 = 10

Q: B)Evaluate the integrals: i) f/2 inzerdrde " 0 ii) f/25/2 sinx 2² siny dz dy dx. π/2

A: B.1. According to question,Given Integral,Let I = ∫0π2∫0sin 2θr dr dθ

Q: Evaluate the limit given below. lim 9ti+ 1²-16 1²-4t j+ k 2 (→ 4

A:

Q: Fill in the blanks: 2² + 1 The equation describes an ellipse. The volume of the solid obtained by…

A: We need to find volume.

Q: Use the properties of the derivative to find r(t) = 3/i+6f³j+31³k u(t)=2i+2r²j-3t³k [r(t) - u(t)]…

A: This question is related to derivative, we will solve it using given information.

Q: dy -(x²+y) B)Solve differential equation = dx x+siny

A: Here we have to solve the differential equation.

Q: -1 Let f(x) = tan-¹ e²². Find f" (x).

A: The solution is given below

Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A: