What is the slope of the line that passes through the points (1, -7) and (−2,−7)? Write your answer in simplest form.

Q: Let a = C= i ci + j and b = 6i + 54j. Find' c so that a and bare orthogonal.

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Q: 05 * In Problems, express y as a function of x. The constant C is a positive number. Iny=Inx…

A: given that a logarithms problem and we solve this use by general property of logarithm.   We know…

Q: ل بريال

A: From the graph of given function

Q: Solve 52*-4(5*) = 12,

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Q: 03* Which of the following is the direction vector from the point A(4, -3, 2, 1) point B(-7,2, -4,…

A: Direction vector from point A to point B is AB→

Q: 06 * a Ob с Which is the derivative of f(5x)? (a) 5 f'(x) (b) 5 f'(5x) (c) f'(5x)

A: Here we apply the chain rule of differentiation to find the derivative of f(5x) Now derivative will…

Q: 4. Complete the table given below for f(x) given limits. I f(x) (a) lim ²-1 #1-7-1 2²-1 2-1+ 2-1 (b)…

A: Given function f(x)=x2-1x-1As per bertleby guideline I have to solve only first three subparts. For…

Q: ] 4. What value of x satisfies the following equation? 42-283x-6 (Only type your numerical answer in…

A: As per bartleby policy only one question is allowed to solve if multiple question is asked in single…

Q: a. Graph the function f(x)=x² - 4x +3. b. Identify the point (a,f(a)) at which the function has a…

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Q: Find the Laplace transform of the function. J 1, 0 < t < { NOTE: Express the answer in terms of s.…

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Q: Calculate each of the following limits, or explain why it does not converge. You may use any…

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Q: Farmer Conor wants to build a rectangular pen for his llamas. He has a gorge with a river along one…

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Q: Find the gradient of the function at the given point. w = x tan(y + 2), (2, 12, -7) Vw(2, 12, -7)=

A: To find the gradient of given function.

Q: 3. Without graphing, identify the key features of the given function. -vertex -axis of symmetry…

A: According to bartleby guidelines we supoosed to do the first three subparts of multiple subparts…

Q: A company manufactures and sells DVD's. Here are the equations they use in connection with their…

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Q: Question 15 Find an equation for the tangent line to f (x) = 2x³ - 6x² + 8x - 1 at x = 2. y = 7(x -…

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Q: Given u x = (-3, -4,-2), find (u-37) x (u + 4v).

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Q: Find the length of an arc of a circle with radius 15 cm if the arc subtends a central angle of 60°.…

A: NOTE: Refresh your page if you can't see any equations. . the given radius is  and the given…

Q: Let Compute дw -(-2,-2) = -(-2,-2) = მs дw St W = 2xy - 2yz + 3xz, x = st, y = est, z = t² =

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Q: Consider the concentration, C, (in mg/liter) of a drug in the blood as a function of the amount of…

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Q: Write a limit to justify a horizontal asymptote of y=2

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Q: What is the balance after 1 year in an account containing $1400 that earns a yearly nominal interest…

A: Let P = principal amount = 1400 r = rate = 8% t = time = 1 year Formula used A = P( 1 + rn100 )nt…

Q: QUESTION 2 x Evaluate the improper integral (²+1² dx.

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Q: 1. In the method of cylindrical shells, integration is over an interval on a coordinate axis that is…

A: 1)In the method of cylindrical shells, integration is over an interval on a coordinate axis that is…

Q: · -21, x ≥ 0 r+? r 1.Given the integral: f(x) = {¹x Slx Evaluate: ₂f(x) dx

A: We have to solve the given integral

Q: 4. Let s(t) = -5² + 40t be the position equation for a rock thrown upwards. At what time t, in…

A: Let's find time t to rock change directions.

Q: Find the volume generated when the area bounded by the curve y=x. from line x=1 to x=4 is rotated…

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Q: 20. a+2 3z + 1 5m 4k 0 0 5m] + [ 3 3a 2k 2z 5 6 5m - [10 10-14 80 5 9

A: Find the variable

Q: 11. Solve the following using the Quadratic Equation: 2X2 + 7X – 15 = 0

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Q: Find an equation of the sphere with center (-3, 2, 7) and radius 7. (x+3)² + (y-2)² + (z-7)²=7² What…

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Q: Decide whether L'Hospital's rule can be applied to each of the following limits. Olim+0+ In(4)

A: As per our guidelines we are supposed to answer only one question kindly repost other question as a…

Q: Solve the differential equation given below. dy/dx = -7y+4/-9x+8 y = ____

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Q: Write the end behavior for the graph

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

Q: Use the half-angle formula to find the exact value of sin 157.5degrees

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Q: Find an equation of the sphere that passes through the origin and whose center is (−2,1,3) Be sure…

A: Given that the sphere passes through the origin and whose center is (-2,1,3).

Q: Recall that cos(bt) = (eibe. ¹+eibt) and sin(bt) = 2 (eibl - e-ibt). 2i Use the linearity of the…

A: Given function:- ft=eatsinbt

Q: Evaluate the double integral, where R is the rectangle [0, 2] × [−1, 0]. √√₁₂ (x²y² + x) dy dx

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Q: Consider the helix r(t) = (cos(-3t), sin(-3t), -2t). Compute, at t = : A. The unit tangent vector T…

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Q: Q.5. As might be expected, the load-carrying capacity and deformation under load of a column are…

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Q: Use the Gauss-Jordan method to solve each system of equations. x + y = 5 3x + 2y = 12

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Q: ind the stationary point of wn the plane and the value of F at that point. . The stationary point is…

A: Find the stationary point.   A. The stationary point is at  And at the stationary point F (x,y,z)

Q: 03. Which of the following is a plane that is parallel to the plane 2x2y2z = -2?…

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Q: Question 2: The rate of fuel consumption, in gallons per minute, recorded during an airplane flight…

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Q: The cost of producing a units of stuffed alligator toys is C'(x) = 0.004x² + 10x + 7000. Find the…

A: Given,            The cost of producing x units of stuffed alligator toys is Cx=0.004x2+10x+7000.To…

Q: Find the arclength of the curve L= r(t) = (10t², 2√/10 t, lnt), for 1 ≤ t ≤ 2.

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Q: 6. Find the volume of the solid generated by revolving the 1st quadrant region bounded by the curve…

A: Solved below

Q: 2. What is the second derivative of f(x) = - ²x³²x²+6? f"(x) = 5x² - ²³√x f"(x) = 10x + √√√x+6 a. b.…

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Q: Find an equation of the plane through (-7, 6, -2) that is perpendicular to the planes 5x - y + z = 3…

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Q: the logistic equation (with t in months.) P(t) = 0.0225P(t)- 0.0003P(t)² ) Find out the percentage…

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Q: Starting with the graph of y = e write the equation of the graph that results from re- flecting…

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