3 A line passes through the point (-6, 4) and has a slope of 2 Write an equation in slope-intercept form for this line. E

Q: so (x − 2)(3x − 4)dx

A: Multiply (x-2) and (3x-4)

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A: Here we use the concept of dot product of the vectors.

Q: Graph the function. = (x) = -4 X for-4<x<-1 for -1 < x < 4 -x² +16 for x ≥ 4 16 11 V 15- 14. 13- 12…

A: Consider the function  Consider the function    z(x)=-4                     for  -4&lt;x&lt;-1x…

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A:

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A:

Q: fins the voulme of the solid with cross-sectinal area A(x).   A(x) = x+2. -1 <x<3

A: fins the voulme of the solid with cross-sectinal area A(x).   A(x) = x+2. -1 &lt;x&lt;3

Q: 2. Find the unit tangent vector for the curve r(t) = (t cost, tsin t).

A:

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A:

Q: (d) dx Oseparable exact linear in x linear in y homogeneous 0 Bernoulli in x Bernoulli in y Onone of…

A: Explanation of the answer is as follows

Q: \(\) The vectors u= 8> and v= are not orthogonal if and only if -136 Select one: O True O False

A:

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A:

Q: 1. Determine the vector and parametric equations of the line passing through P(-2, 3, 5) and Q(−2,…

A: According to our guidelines we can only solve the first question and rest of the questions can be…

Q: L sin2t cos3t

A:

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A:

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A:

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A:

Q: 3+2=?

A: What is the value of 3+2

Q: Find the indefinite integral using the substitution x = √x√4 + x² dx + C 2 tan(0)

A: SOLUTION-

Q: S In (x) √xln(x)-x -X dx

A: ∫ln(x)xln(x)-xdx

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A:

Q: Find a plane through the points (-7,7,-3), (1,-7,-8), (-2,-1,3)

A:

Q: The particular solution (yp) of the equation y" - 3y' + 2y = 5 e* is yp = -5xex False True O

A:

Q: Find the distance from the point (3,-7,-1) to the plane -x + 5y + 2z = 34.

A: Here is the solution:

Q: A company selling baseball gloves has fixed costs of ​$1300​, and it costs an additional ​$22.71 to…

A:

Q: fx tan x x dx

A:

Q: 31. Determine the point of the plane T: 15x - 3y + 2z + 6 = 0 intersection of the line [x, y, z] =…

A:

Q: Let a be a real number. Evaluate the following integral: So fx + y dady

A: ∫0a∫y-1y+1 x+ydxdy this is given  find double integration  further step given below

Q: 1.5(8x³ - 6x² + 12x − 9)dx - 2.S √x(x² − 3x + 2)dx • (x-1)² dx √x 3.f

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: Evaluate the following integral: 2² ²₂ 2² x+yz dædydz

A: Solution given below

Q: find the divergence of F. I Y F(x, y) = -√2²17³1 + √z²+z³³ +y O div F = 2(x+y+z) O div F= 1 1²+y²

A:

Q: -0.1 0.9062cos (1-√√3x) d x 吧。 (1-√³x)]" [sin (1- sin (1-√√3a) - sin (1-√√3(-0.1)) sin (1-√3a) 1-√3a…

A:

Q: 1.5(8x³ − 6x² + 12x - - 9)dx

A: Using the formula of integration x^n

Q: find the directional derivative of the function in the direction of the vector v

A:

Q: 7. Tammy is golfing. She wants to drive her ball from the tee to the hole that lies due east.…

A:

Q: Eliminate the parameter t to find a Cartesian equation in the form z = f(y) for: [z(t) = 3t² y(t) =…

A: We can express x in terms in terms of y as below.

Q: B-Find the area of the region inside the curve 1+cos@ and outside the curve -1 and graph the two…

A:

Q: sinx13 cOSX on the interval [0, π] Average value=

A: According to the company rule we can answer the first question and rest can be reposted.

Q: Find the area of the surface obtained by rotating the curve about the x-axis. 2) 20 sys 3 Select the…

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Q: x fare cos = dx 2

A: Indefinite Integration

Q: The population of a city is 89​,000. If the population grows continuously by 3.2​% per​ year, in how…

A:

Q: The length of the curve r = sin² for the period 0 ≤ 0 ≤ π is 2 6 2 O 8 O 4 O None of them O

A: The objective of the question is determine the length of the curve given in polar form.

Q: The angle between u = 3i- j - 2k and v= i + 2j- 3k is O 60° O 30° 180° 45° 90° O

A:

Q: Use implicit differentiation to find the slope of the tangent line to the curve 9xy³ + Sxy=14 at…

A:

Q: Triple Integical пун Evaluate SS * cos(y) dz dx dy.

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Suppose x-j, for j-0, 1, 2, 3 and it is known that Find Po123(1.5). P₁1(x)=x+1, P₁2(x)=3x-1, and…

A:

Q: The equation of plane through (3,-1,7) and perpendicular to the vector n(4,2,-5) is 4x + 2y5z-25 =…

A: we know that if a plane is  perpendicular to a vector then the  normal of the plane is parallel to…

Q: Sketch the following surface: (2+4)² + (y-1)² = 1 a.) Draw the projection on a xy plane Show…

A: The eqaution is given  (z+4)2 +(y-1)2 = 1

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A:

Q: If the vectors a and b are such that a = kb where k is a positive scalar, then the vectors a and b…

A: Given a and b are vectors Such that a=kb and k is positive

Q: Three different forces act on an object. They are: F₁ = F₂ F3 Find the net force Fact on the…

A: Please refer to the image below