PE Complete the parametric equations of the line through the point (-1,-6,7) and parallel to the vector (-5, -8,3) x(t) = -1 - 5t y(t) = =

Q: Calculate the derivative. (Use symbolic notation and fractions where needed.) d [* √x dx +8 tan (6t)…

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Q: Rewrite the expression ƒ(x) = ln (1²2² -74) using properties of logarithms. Select all that apply 1.…

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Q: 5. |y³ cos(xy) + y sin X (*)] + [ V dx + xy² cos(xy)-xsin X y | dy=0

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Q: B1. The function h is defined by h(x) = = 1 x³(x + 1)* (a) Give the domain of h, using appropriate…

A: Let us first make the partial fraction

Q: Consider the planes 1x + 2y + 5z = 1 and 1x + 5z = 0. A) Find the unique point P on the y-axis which…

A: Please see the below picture for detailed solution.

Q: Find the particular solution of the given ODE a.x-√√(x² + y²) = 1 b. y-√√(x² - y²) = -1 c.y-√√(x² +…

A: To find the particular solution of the given ODE. y-x2+y2 dx-x dy=0 when x=3, y=1

Q: 4. Let f(x)=√x² − 1 and g(x) = x +1. - (a) (x)

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Q: Find the general indefinite integral. (Use C for the constant of integration.) √(x² + 2x - 5) dx…

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Q: Find an equation for the line tangent to the curve at the point defined by the given value of t.​…

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Q: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 12…

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: function

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Q: 1. One hot day in Las Pinas, the temperature was 30⁰ C. Carlo bought a bottled water which was taken…

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Q: Today only an item is being sold at a 17% discount for $3,942.50. What was the price yesterday? $

A: Given that, Discounted Price = $ 3942.50 Discount Percentage = 17 %

Q: 6. Find the solutions to the following: (a) 1-(4-(5- x)) = 3x − (4 + x)

A: NOTE: Refresh your page if you can't see any equations. .

Q: 2. (1+Inx) dx +(1+Iny) dy=0 when y(-2) =-

A: The given equation is;  (1+lnx)dx+(1+lny)dy=0, y(-2)=-1.

Q: Let T(x, y, z) = x² + y² + z² and h(x, y, z) = 2x + 3y - 5z + 4. Which one of following systems of…

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Q: Question A9 Evaluate 2 [²√√² (2²y³ + ³y³² In x) dx dy. 0

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Q: The total amount paid for purchase of an item including 6.35% sales tax was $5572.74. What was the…

A: Topic - Computing selling price of item We are given Amount including 6.35% of sales tax =$5572.74

Q: The graph of h(x) = ² is transformed into the graph of y = g(x), whose equation can be written in…

A: We need to find transformation function.

Q: Can you clarify what formula this is? (V=C1+rt)

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Q: Find sin 2x, cos 2x, and tan 2x if cos x = +5 and x terminates in quadrant II.

A: To find the value of given trigonometric ratio

Q: Solve the solution of all the homogeneous equations: 1. y'= x-y X

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Q: Suppose a computer manufacturer has the total cost function C(x) = 80x + 3600 (in dollars) and the…

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Q: Suppose a professor counts the final exam as being equal to each of the other tests in her course,…

A: given four test scores is  81,61,51 and 86total marks for 5 test is  500

Q: Find all points on the x-axis 8 units from the point (3,-4).

A: given point is  (3,-4) distance formula between two points is D=(x2-x1)2+(y2-y1)2given distance is 8…

Q: Prove the identity. sin (x-x) sin x+ E|N 2 = tan x

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Q: 9. Refer to question 8. a) Graph y = 8(x) f(x) or neither? Give the domain and range. f(x) b) Graph…

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Q: Solve for the general solution: (D² - 5D + 6)y = 0. Oy=c1 e^(2x) + c2 e^(3x) Oy=c1 e^(-2x) + c2…

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Q: Given below are descriptions of two lines. Line 1: Goes through (3,-10) and (4,-16) Line 2: Goes…

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Q: Consider the function f(x) = 6√x+8 on the interval [2, 9]. Find the average or mean slope of the…

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Q: K Evaluate. 2 a +ab 5b 2 a + ab 5b View an example for a = -2 and b= -4 (Simplify your answer.) CA +…

A: Given :- a2+ab5b

Q: During the first year, the value of an investment rose by 18%. During the second year, the value of…

A: NOTE: Refresh your page if you can't see any equations. . let the initial investment is x the value…

Q: roblem #8: Determine the convergence of the improper integral * cos(x − 9x) dx. (A) diverges, the…

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Q: 1² cu (u + 4)(u - 5) du

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Q: B1. The function h is defined by h(x) = 1 x³ (x + 1)* (a) Give the domain of h, using appropriate…

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Q: CUse Maclaurin series with three non-zero terms to evaluate the integral and limit. ex-(1+x) x² b)…

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Q: * Your answer is incorrect. Joe invested $20000 in the stock market, while Sam invested $30000.…

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Q: Suppose an oil spill covers a circular area and the radius, r, increases according to the graph…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, point…

Q: Jacky plans to save $250 000 over 15 years. He saves making regular monthly deposits in an account…

A: Formula- R=FV×i1+it-1 ⇒FV=Future value⇒i=rn, r=rate of interest , n =compounding period⇒R= Monthly…

Q: -5 f(x) 5 -5 5 x

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Q: C. D. E. F. 8x² Dy² 8² f Əyði = fiz = 8² f Ordy - - fyy = = = || = fyz fay || =

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Q: The revenue and cost functions for the sale of a particular product are given below (where x…

A: The revenue and cost functions for the sale of a particular product are given below (where x…

Q: Given u x = (3, 2, 3), find (ū – 57) X (+20)

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Q: Sketch a graph of ƒ(x) : = -5 -4 -3 -2 -1 Clear All Draw: 5 4 3 2 1 -1 -2 -3 -4 -5+ if x ≤ −1 if −1…

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Q: A circuit board manufacturer estimates the yearly demand to be 1,000,000. It costs $400 to set up…

A: A circuit board manufacturer estimates the yearly demand to be 1,000,000. It costs $400 to set up…

Q: Evaluate u v given the following information. . |||ū|| = 4, |||| = 8, The angle between u and is…

A: We have to evaluate u•v.

Q: X x + 2 A1. The functions f and g are defined by f(x) (a) Calculate f'(x) and g'(x). d (b) Calculate…

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Q: Find an equation for the line tangent to the curve at the point defined by the given value of t.​…

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Q: If V(x) represents the volume of water, in cubic inches, in a tank when the height of the water is x…

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Q: 4. Let f(x)=√x² - 1 and g(x) = x + 1

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