Find symmetric equations for the line through the point (1, -2, -4) which is orthogonal to the plane 2x−y+3z=18

Q: Q2: find the Laplace of the following functions: a- f(x) = (cosw, for 0<t< (o for,=<t<² 0

A: If ft is a periodic function with period T, then        Lft=11-e-sT∫0Tft e-sT dt So,…

Q: 4. In order to study the population distribution of a certain species of insect, a biologist has…

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Q: 1. An open box is to be made from a 20-inch by 32-inch piece of cardboard by cutting out x-inch by…

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Q: Find the area under the curve 4x2-3x+6 between x= -2 and x=3

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Q: Use the power series 1 = Σ( Σ(-1)-1-1, x +1 n=1 to find a power series, centered at 0, of the…

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Q: A particle moves in a straight line from the origin (at t= 0) with given initial velocity u, and…

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Q: You deposit $2000 in an account with 4% annual compound interest. Complete the following, assuming…

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Q: Solve the DE using laplace transformation: y''(t)-y(t)=4cos(t); y(0)=0, y'(0)=1 the answer should…

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Q: Let f be a twice differentiable function on an open interval (a, b). Which statements regarding the…

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Q: Determine the volume produced by the region bordered by 32 IT 15 "1 x² - 4x - 4y + 4 = 0 and y = 1…

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Q: Now find the area bounded by y= x^3, x=0, and y=3 a) 3.25 b) 3.28 c) 3.26 d) 3.27 integral…

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Q: Determine if the function is continuous on the given interval. - 1. f(x) = √x² – 25 ; [−6, −5] 2.…

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Q: Evaluate 0-2²-²4 where is a unit cele centered at the origin

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Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = 2x² -…

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Q: Evaluate: √x(x - 5)dx Solution: √ √x(x - 5) dx = f x²(x - 5) dx by law of exponents/ = f (x² - 5x)…

A: Given problem:- ∫√x(x-5) dx

Q: Find the volume of the solid of revolution formed by rotating about the x-axis the region bounded by…

A: To find the volume of the solid of revolution formed by rotating about the x-axis the region bounded…

Q: The equation P=25sin(2πt)+90P models the blood pressure, P, where tt represents time in seconds.…

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Q: The following statements are true about "Integration" except: the method of adding or summing up the…

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Q: Find dy/dx, if y= (3+cos x) ^(2x+1)

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Q: Find the local maximum and minimum values of the function f(x) = -x - 25 using the Second Derivative…

A: Given problem:- Find the local maximum and minimum values of the function f(x) = -x- 25/x using the…

Q: The rate of a continuous money flow starts at $600 and increases exponentially at 2% per year for 15…

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Q: Find the general and Singular Solution of the Following differential equation y²Lny = xyP+ P²

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Q: Graph two full periods of the function f(x)=cos(4x) and state the amplitude and period.

A: Given problem:- Graph two full periods of the function f(x)=cos(4x) and state the amplitude and…

Q: reply as soon as posible.

A: To find out the conservative.

Q: 2. A cyclist applies a force F with magnitude F = 50N in the same direction as the vector b = 4 j.…

A: We have to find the vectors.

Q: limits

A: L'Hospital's rule apply only when there is 0/0 for ∞/∞ form.

Q: Given Cost and Revenue functions C(q) =q³-9q² +53q + 5000 and R(q) = -3q² + 2500q, what is the…

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Q: Question 5 Given the function y = f (x) defined at all real values of x. Let x = 2, 3, 5 and 7 are…

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Q: 1. dx (x - 2)3 EXOX

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Q: Evaluate the following integral. JJ. xyz dV if S is the region bounded by the cylinders x² + y² =…

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Q: In spherical coordinates, the integral equivalent to None of these. 2πT π/2 2 S 6,²¹² 6² p² sin…

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Q: Find the equation of the family of orthogonal trajectories of the system of parabolas y² = 2x + C.

A: Orthogonal trajectory

Q: Suppose a state's income tax code states that tax liability is 18% on the first $19,500 of taxable…

A: The tax function,   T(x)=a+0.18xx≤19,500b+0.14x-19,500x&gt;19,500

Q: The solution of the differential equation y' + 2xy = Ky when y(1)= K is

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Q: Find the equation of the plane containing the points (0, 1, 3), (2, 2, 2) and (3, 2, 1)

A: Given: points (0,1,3), (2,2,2), (3,2,1) Find: equation of the plane containing given points

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

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Q: In the 2000 U.S. Census, a small city had a population of 45,000. By 2010, the population had…

A: Given  Population in 2000 = 45,000  Population in 2010 = 65148

Q: Evaluate the following limit lim (3¹6) (²-√²+₂) Ꮳ X-4 -64 Show all your work. Warning: You will get…

A: Limits

Q: 2. Use the graphs of y=f(x) and y= g(x) to sketch the graph of y=h(x). Hint: Estimate the function…

A: answer is in next step.

Q: A cylindrical can without a lid is to be constructed to contain 800 ml of liquid. Determine the…

A: To find the dimensions that minimize the amount of metal needed to make the can.

Q: Use DeMoivre's theorem to compute (1+i)¹²

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Q: Use implicit differentiation to determine the derivative of: tan² (xy² + y) = 2x.

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Q: n Express the function n, lim 21³ n→+∞ n5 i=1 and then find the limit. in closed form

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Q: Let T : R² ⇒ R³ be a linear transformation such that T([ 1 ]) = = 8 [][]) ([ 13 0 What is T -1 and T…

A: Concept: A linear transformation is a feature from one functional area to some other that takes into…

Q: Find the linear approximation of the function g(x) = 1 + x at a = 0. g(x) * Use it to approximate…

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Q: A. Find the derivative of each of the following functions. 5. f(x)=3x5 +6x² +9x 6. f(x)=2x² - 4x¹…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Given cost and price (demand) functions C(q) = 110q+41,500 and p(q) = -1.9q+870, what is the…

A: Given  Cost function C(q) = 110q + 41,500  price function p(q) = -1.9q +870

Q: Convert the rectangular equation x2 = −2y2 + 5x2 y2 to polar equation

A: The rectangular equation is x2=-2y2+5x2y2

Q: Vector a is expressed in magnitude and direction form as a =(√33, 130°). What is the component form…

A: We want to find component form of the vector.

Q: (a) For a certain curve, y"=2. Find its equation given that it passes through P(2, 6) with slope 10.…

A: Note: according to the company policy we can attempt only one question so please upload the next…