Find an equation of the line that passes through the point and has the indicated slope. Point slope (-1,5) m- 3

Q: 4. (True/False) Two lines in three-dimensional space either intersect or are parallel.

A: We have to give explanation about the given statement either it is true or false.

Q: 2. Integrate: x² In x dx a. Inx+c b. [(In x)² ++ c c.[(Inx)² - Inx++c d. none of these

A: To evaluate: ∫x2ln x dx

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A: NOTE: Refresh your page if you can't see any equations. . take integration on both sides…

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Q: thank you! Trying to figure out why the final answer was 'near -542.2258964609'

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Q: 2 Solve the following ODES by Inverse Operator m. ℗ 2 (D³² +1) y = cos x Ans & Y = C₁ C3 x + C₂ sinx…

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Q: Evaluate in degrees cot 38.7 degrees O 51.3 degrees Not Possible 1.9 degrees -¹(²) 36.9 degrees

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Q: Evaluate the line integral F dr, where C is given by the vector function r(t). С F(x, y, z) =…

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Q: Suppose that f(5) = 1, f '(5) = 7, g(5) = −8, and g'(5) = 9. Find the following values. (a) (fg)'(5)…

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Q: Tutorial Exercise Use the method of cylindrical shells to find the volume V of the solid obtained by…

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Q: Determine the partial fraction decomposition for the following expression 7x²-17x +38 (x+6) (x − 1)²

A: The given function is;  (7x2-17x+38)/[(x+6)(x-1) 2].

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Q: We assume that in a village there are farmers, carpenters, and tailors, who provide the three…

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Q: Find the curvature of the curve (t) Give your answer to 2 decimal places. = (4t, t², -5t4) at the…

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Q: 3. (True/False) If f(x, y) has a local minimum and is differentiable at (a, b), then f(a, b) = 0 for…

A: We have to check given statement true or false

Q: Find the area of the triangle. Round your answer to one decimal place. B = 111°,    C = 29°,    a =…

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Q: 16 Q4- Solve the following system of ODE dx dt Eaux"> dy dt = y + 1 =x+1

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Q: For what values of x does the graph of f have a horizontal tangent? (Use n as your integer…

A: First of all we have to find the derivate of the given function then for the horizontal tangent we…

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Q: dy 2x = (3y + x)- dx

A: Given, 2x=(3y+x)dydxdydx=2x3y+xPut y=vxDifferentiate…

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Q: Use vectors to find the lengths of the diagonals of the parallelogram j and i - 14j as adjacent…

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Q: Decide if the given value of x is a critical number for f, and if so, decide whether the point for x…

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Q: E Homework: Section 5.2 Homework Assignment • 1 f(x)dx=2₁] Suppose f(x)dx=2, | f(x)dx = 3, and and 2…

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Q: Find the general solution of the differential equation. y (4) - y = 8t+cost. NOTE: Use C₁, C2, C3,…

A: We need to solve D.E.

Q: Find the critical points c for the function f and apply the Second Derivative Test (if possible) to…

A: Given problem:- f(x) =-13/(x2 -11x+36)  To find:- Critical points where local maximum and minimum…

Q: Let f(x) = x6, x ≤ 1 √√x, x > 1 Determine whether f is differentiable at x = 1. If so, find the…

A: Given :fx=x6,x≤1x6,x>1to check differentiable at x=1

Q: Tutorial Exercise Find a formula for the inverse of the function. 5x - 1 2x + 6 f(x) =

A: Given function is        fx = 5x-12x+6            Let  y = f(x),   then…

Q: 1. Does the definite integral [a,b]? Why or why not? 2. How would you calculate the total area of…

A: Here we have to use the concept of integration

Q: 3. Find the solution of the differential equation. 4y’’-4y’-3y=0 theme: repeated roots; order…

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Q: C is counterclockwise around the rectangle with vertices (0, 0), (5, 0), (5, 3), (0, 3) (a) directly…

A: The given integral is: ∮xy dx+x2 dy C is the counterclockwise around the rectangle with vertices…

Q: Air traffic controllers continuously monitor the angles of elevation and to an airplane from the…

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

Q: 9 -25 -49 + 8 = 2*+* 3X 2X - 2X Ans: y = c + czxe + cze L 25 -3X e + x + x + ½

A: See this solution in below

Q: 0 6. Consider the equation 2³-1-3x, which has a unique root between x = and = 1. Apply Newton's…

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Q: Complete the table of function values. Do not use a calculator or tables. Evaluate the six…

A: NOTE: Refresh your page if you can't see any equations. . The first 3 rows are absolutely correct.…

Q: X -4 -3 -2 -1 0 123 2 3 4 Slope of the Tangent Rate of Change (+/-) Local Max/Min/ Inflection pt.

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Q: Find the Laplace transform of f(t) = t cosh 2tsinh 3t.

A: To find the Laplace transform of ft=t cosh2t sinh3t.

Q: 5. Find the volume of the solid of revolution formed by rotating the finite region bounded by curves…

A: Given :Curve :y=x-1 y=x-12

Q: (0) + ]) (²) 500+ ( [ (x)500 = (T) = = ()UIS = (x + 2)UIS (x) = (x+

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Q: Derivative 0 −4x-5 (Hint: Look at the note of section 2.3 example (c) in 0-4x3 0-4x-3 0 -4.x³ 4 d…

A: We can answer the question as below.

Q: Evaluate the following integral or prove it divergences ez [Fot e²x + 3 da

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = x² + y² + z² (8,…

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Q: 3x x²-9 14. For the function f(x)=- a) The x and y-intercepts. find the following

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Q: 10. S 1 √√x+ ³√x dx

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