7. a) Find the equation of the plane passes through the point P(1,2,-1), perpendicular to intersection line of the planes: 2y+x+z=3, 2x+y+z-2=0. b) Find the point at which the intersection line meets the xy plane.

Q: y" +4y= F(t) = -> (1) 23 (1 if 05451 F(t) = 0 if f1 OUT -> (2)

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Q: Consider the function f(x) = cos x - 3x + 1. Since f(0)ƒ () <0, f(x) has a root in [0]. If we use…

A: Bisection method: To find the root of the equation f(x)=0, on the interval [a,b], the iteration is…

Q: 5. If Evaluate the following. (a) F'(9) (b) F (0), by interpreting F (0) as an area F(x) = √25 - 1²…

A: We have to find F'(9) and F(0).

Q: II. Problem Solving/Proving. Show all complete solutions. 1. Show that V=M22. the set of all 2 x 2…

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Q: condition o

A: It is basic business sincerity to be fully aware of all aspects of a product when looking to buy or…

Q: II. Problem Solving/Proving. Show all complete solutions. 1. Show that V=M22. the set of all 2 x 2…

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Q: 1. State and prove the Lagrange's identity.

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Q: f(x) X- COS(X) 1 + x 2 By using newton rafson find the solve.de ToL = 0.0005 1 X₂=1

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations and to…

Q: The number 3.141529 estimates 3.141516 to Blank 1 significant digits.

A: this question from numerical analysis

Q: The number 3.141529 estimates 3.141516 to Blank 1 significant digits. Blank 1 Add your answer

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Q: y' (t) = 1 Sin(t) -t y (u) cu -> (1)

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Q: Q3. A sequence of integers o, ₁, is defined by xo = 2,₁ = 5 and m = xm-1 + 2xm-2 for m≥ 2. Prove…

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Q: 6. Consider the Initial Value Problem (IVP) given by dy y(0) = = 1. 2 dx a. Sketch the slope field…

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Q: - Consider the region R below bounded by the curves C₁x - 4y = 4, C₂ : y =√x – 1, and C3: x + 2y =…

A: Divides the region into two parts for suitable position of strips.

Q: - Let f(x) = e² 1. Use the local linear approximation of f at x = 0 to approximate e² sin(0.01) 2.…

A: Introduction:The formula of local linear approximation of the function, fx is given by,…

Q: In building a tent, Jada ties a rope from the top of a pole 3 meters high to a stake that is 4…

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Q: . Consider the function ƒ(x) = cos x − 3x + 1. Since ƒ (0)ƒ (²) < 0, ƒ(x) has a root in [o,]. If we…

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Q: Consider the function f(x) = cos x − 3x + 1. Since f (0)ƒ () <0, f(x) has a root in [0, 1]. To solve…

A: Given that                      f(x)=cos x-3x+1   equivalent equation                   x=131+cos x…

Q: Suppose 3.141516 is estimated using 3.141529. The relative error is (Answer must be in 7 decimal…

A: The relative error is defined by the formula, Relative error=Absolute errorTrue value where the…

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ(0)ƒ <0, f(x) has a root in [0]. If we use…

A:

Q: Suppose 3.141516 is estimated using 3.141529. The absolute error is (Answer must be in 6 decimal…

A: Let Xt be the true value and Xa be the approximate value of a number then the corresponding absolute…

Q: Suppose 3.141516 is estimated using 3.141529. The absolute error is (Answer must be in 6 decimal…

A:

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0, ƒ(x) has a root in [0]. If we use…

A: The equation in the form fx=0 is called a transcendental equation. The solution of the equation is…

Q: I. Perform the following integration. 1. (sinh r) (coth²r + csch³ 2) dr sec³r tan r 2. dx √2+ secr…

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Q: Evaluate the following integrals. [³ 1 - coth² (log₂x) dx x cosh (log₂ x) 1.

A: Using the properties of the trigonometric hyperbolic functions, it can be written that:…

Q: Suppose 3.141516 is estimated using 3.141529. The absolute error is (Answer must be in 6 decimal…

A:

Q: Question 6 The number 3.141529 estimates 3.141516 to Blank 1 significant digits. Blank 1 Add your…

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Q: Given a region R enclosed by the curves: (x-2)² y = 1 + sin() , y = y = 4_ @a and x = 2 as shown…

A: The region R is enclosed by the below curves. y=1+sinπx4y=4−x−224x=2 To set up a definite integral…

Q: Analyzing the functions below, compare and contrast the two functions in each problem situation. Be…

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Q: 4. Evaluate the double integral: Loddy. dx dy. +1 (Hint: Change the order of integration to dy dx.)

A: ∫08∫y1/32yx7+1dxdy limit of x goes from x =y1/3 to y =2 and limit of y goes from y = 0 to y = 8 on…

Q: (B) Use Laplace transformation to solve the differential equation √√2e-¹ y+16ym. +6+8y' csc 2x+…

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Q: Let f(x) = 2 sin x 1. Use the local linear approximation of ƒ at x = 0 to approximate e²2 sin(0.01)…

A: The local linear approximation of f at a point x=x0 is given by the formula…

Q: ・X1 TE 91-8

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Q: 16. Find the potential in the angular region between the plates Arg = 7/6, kept at 8 kV, and Arg = =…

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Q: Given a region K enclosed by the curves y = 1 + sin as shown below. (74), y=4- (x - 2)² 4 and x = 2

A: This is a problem of volume on rotation.

Q: If f(x) is continuous, f(-1) = 2, and f(2)= -1, then f(x) has a root in [-1,2].

A: We use the following theorem:  (Bolzano's theorem) Let [a, b] be a closed and bounded interval and…

Q: VI. Determine the instantaneous rate of change of the function 2 f(x) = ² Love √x sin (³) dt 1+√t 10…

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Q: Let R be the region in the first quadrant bounded by x = = 1, (x − 2)² + y² = 1, and x² + y² = 4.…

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Q: Suppose an = 5. What is the value of lim a,,? n=0 n-0

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Q: III. Let R be the region below enclosed by the curves 2 x = y + 2y, x + 5y = 0, and x = 5. Set up…

A: Given,  Region R is enclosed by the curves, x=y2+2y, x+5y=0, x=5 The other two curves cut the curve…

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (²) < 0, ƒ (x) has a root in [0]. If we…

A:

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0. f(x) has a root in [0]. If we use…

A: We are given f(x)=cos(x)-3x+1 , x0=0.5 Newton-Raphson iteration formula xn+1=xn-f(xn)f'(xn)…

Q: A) True B) False If f(x) is continuous, f(-1) = 2, and ƒ (2) = -1, then f(x) has a root in [-1,2].

A:

Q: III. Let R be the region below enclosed by the curves 2 x = y² + 2y, x + 5y = 0, and x = 5. Set up…

A: Here x  is a function of y, independent variable

Q: Identify the surfaces of the following equations by converting them into equations in the Cartesian…

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Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (²) < 0, ƒ (x) has a root in [o,]. If we…

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Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (1) < 0. f(x) has a root in - [o,]. If we…

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Q: (A) True (B) False If f(x) is continuous, f(-1) = 2, and f(2)= -1, then f(x) has a root in [-1,2].

A: This question is related to intermediate value theorem .

Q: Consider the function f(x) = cos x − 3x + 1. Since f (0)f () <0. f(x) has a root in [0]. If we use…

A:

Q: 12.- x₁ + 3x3 + x 4 = 2 2x₁ + 3x₂-3x3 + x4=2 2x₁2x₂2x3x4=2

A: Given linear system is ,           -x1+3x3+x4 = 22x1+3x2-3x3+x4 = 22x1-2x2-2x3-x4 = -2 (.)  Consider…