To find the vertical asymptote of a graph of a rational function, you set the numerator equal to zero and solve for x. O True O False

Q: C. Derive the formula for each quantity Find the other angle and sides of the following right…

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Q: m Which of the following correctly expresses the relationsh

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Q: In the graph given below, at the point A, the nature of gradient (dy/dr) is C

A: Given in question - "Graph of curve" To find - Nature of gradiant (dydx) at point 'A'

Q: (e) In situation (3), give the direction of a by naming either a quadrant or a direction along an…

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Q: The derivative of the displacement r with respect to the time t is known to be:

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Q: d) Find the angle between the face diagonal of a cube. e) Find the gradient of the following…

A: We will use the formula for angle between two lines to find the angle that is  cos(θ)=AB.PQ|AB| |PQ|

Q: A person flying a kite has released 103 m of string. The string was tied to the base of a pole thus…

A: Given : Length of string (L) = 103 m θ = 38o

Q: (c) In situation (1), give the direction of á by naming either a quadrant or a direction along an…

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Q: could part d of this question be done please

A: (d) Write the expression for gradient of the function.

Q: A triangle in the xy plane is defined with = (0,0), (0, 2) and corners at (x,y) (4, 2). We want to…

A: The triangle has corners at (x,y)=(0,0), (0,2) and (4,2). We have a function f(x,y) which we need to…

Q: (b) For any arbitrary vectors u, v and w, prove that (u x v) x w = u x (v x w) if and only if (u x…

A: We have 3 arbitrary vectors u, v and w and we have to prove that (u*v)*w=u*(v*w) given that…

Q: Q:: Find the equation of a straight line that has y-intercept 3 and is perpendicular to straight…

A: SOlution:  as given that y - intercept 3 line joinin gpoint (2,3) and (3,2) to find the equation of…

Q: (Vector analysis) Given the function v with cubic volume having sides of length 2 from the origin as…

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Q: (a) Find the scalar products î î, ĵ· ĵ, and k · k. (b) Find î · î, î · k, and k î (c) Use the…

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Q: Verify that y = sin x, y = cos x, y = eix, and y = e−ix are all solutions of y'' = −y.

A: Differentiation

Q: AB+ AC 6. Consider the triangle ABC and the point O defined by AO= 3 BC. Prove that AM = 1=²40. A .…

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Q: B. Express the position vector Ron in Cartesian vector notation if point N has a coordinates (1,2,0)

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Q: If f is a scalar function and v = [v1, v2, v3] is a vector field. Show that div(fv)=f divv+v·∇f

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Q: Given vectors A=21+3j+k and B= k and find B*A

A: The 2 vectors are given asA = 2i⏞ + 3j⏞ + k⏞B = k⏞ They have asked for the cross product of the 2…

Q: du (a) Let u be a differentiable vector function of constant length, then show that u. = 0. dt

A: Note: As per Bartleyby's guideline one question has to be solved at a time. So, upload other…

Q: 4. (20%, ABET-e). Determine the coordinates of the centroid of the area by direct integration.…

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Q: Consider the following function of variable r, for r>0: y(r) = (r² – 6.00r) exp(-r). Part A Find the…

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Q: As an illustration of why it matters which variables you hold fixed when taking partial derivatives,…

A: The variable  win terms of x andz is\ x=yzy=xz Then w=xy=xxz=x2z

Q: C. Derive the formula for each quantity Find the other angle and sides of the following right…

A: To find remaining sides and angles of given right angle triangle

Q: In the graph given below, at the point B, the second derivative (d²y/dx²) is В a. negative b. zero…

A: In this problem given a graph and various point A, B, and C.  We find out second derivative at point…

Q: (a) Let n = a + ib be a complex number, where a and b are real (positive or negative) numbers. Show…

A: Given n = a + ib m = c + id

Q: a/ What is scalar component of vector W in direction of vector P?  b/ Smallest angle vector P makes…

A: This question can be easily solved by applying the basic concept of vectors and scalars .

Q: Solve the following system by graphing and verify that your solution satisfies the system. {2x + y…

A: Given : 2x+y=20 x+y=12 In this question we have to find the value of x and y by plotting a graph.

Q: In the graph given below, at the point B, the nature of gradient (dy/dr) is A 4

A: Ans : b) zero

Q: In the graph given below, at the point C, the second derivative ( d?y/dx? ) is B

A: At point C slope is zero and slope is not changing just before and just after point c.

Q: E. Sketch the graph of the following logarithmic functions. 1.f (r ) = log.x

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Q: a) Find the polar coordinates corresponding to (x, y) = (3.27, 1.21) m. r =  ____ m ? = ___ °

A: The polar coordinates.given,(x, y)=(3.27, 1.21) m

Q: What is the derivative with respect to t of the function a (t) = (5 m/s³) t³ – (2 m/s²) t² + (7 m/s)…

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Q: S. The is a Sum two vectors um't 0 vector find X ?.

A: Let C denotes the vector sum: So, C=(2+x)i+7j and magnitude of the vector sum is, Hence, we have…

Q: In the graph given below, at the point B, the second derivative (d²y/dx²) is В

A: Point of inflection: point of inflection is a point on a curve at which the curvature (slope)…

Q: In the graph given below, at the point B, the second derivative (d²y/dx²) is B O a. posititve O b.…

A: second derivative of the y with respect to x:

Q: Consider the plane x + 2y – z = 5 and the vector = 2i - 5j + 3k. a) Find a normal vector to the…

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Q: Q) Consider the two vectors A and B. The magnitude of JA | = 2.88 and the %3D vector A makes an…

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Q: If r is going from the origin to the point (x,y,z) and r#0 I prove the following relations: V«($) -…

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Q: Determine the gradient of the following scalar field: F = x?y + xyz Determine the Divergence of the…

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Q: (a) Solve the following equations for real x and y (i) 3+5i+ x – yi = 6 – 2i (ii) x+yi =…

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Q: . Using the differential length dl, find the length of each of the following segments/curves: a) 2 <…

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Q: (c) Define the differential surface vectors of differential volume in Cartesian coordinate for the…

A: The differential surface vectors of differential volume in Cartesian coordinate for the six faces of…

Q: c) Calculate the integration y+1 dydx

A: We can solve this integration by changing order of integration