The requved values tor a qud b tor Ple funston to be contimues at x=

Q: Solve (5.(x) ox 7 1 xx+

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Q: A. Determine whether the graphs of the following are continuous or not. Write yes if it is. Otherwis...

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Q: e'dx – x²dy = 0 = 0

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Q: What is the characteristic equation and what role does it play in the solution to a linear, second o...

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Q: Use the alternative form of the dot product to find u · v. ||u|| = 30, ||v|| = 50, and the angle bet...

A: Solution is given below:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: Topic = Vector

Q: Find the unit vector in the direction of v. v = -6.3i + 3.7j u =

A: Given the vector is v = -6.3i + 3.7j We have to find the unit vector in the direction of v.

Q: Find the area of the shaded region. The image is not to scale. x= -cy Ay x=d- y? Consider c=1, d=2. ...

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Q: Solve the differential equation. dy = 3 cos x sec y dx Oy = sin1 (3 sin x + C) O y= sin (3 sin x + C...

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Q: Use the shell method to write and evaluate the integral that gives the volume of the solid generated...

A: Find your answer below 

Q: 1.) Find the percent grade rise/run= slope Slope = 5:1

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: dy using implicit differentiation given that dr 3. Find y² seca – log(r² + y²) = e* + cot(ry).

A: Solution is given below:

Q: Let f : R2 → R be defined by f((x, y)) = x² + 2y – 3xy, for every(x, y) E R² - The value of fx((0, 0...

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Q: Fihd thẻ čentroid of the region bounded by the graphs of the functions 1 y = 4 sin(x), y = and x = a...

A: Find the centroid of the region bounded by the graphs of the functions    y = 4 sin(x), y=x/9, and x...

Q: trakuak the triple Integral

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Q: A resort sells all-included package for a week-long stay at 2000S per person. It costs 1600$ to the ...

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Q: Evaluate: 1 dx 2(х — 1)? 1 О а. + C 2(х-1) O b. * + C 1 2х + C 1 d. + C 2(х-1)

A: The integration of the integral is 1/[2(x-1)2].

Q: Create 1 graph of a function that shows continuous, removable, jump and asymptotic discontinuity (al...

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Q: 2x e² dx 9 + e4x

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Q: The product of two positive numbers is 363. Minimize the sum of the first and three times the second...

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Q: d²y dy y = e * is a solution of dx2 = 0 dx

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Q: Question 7 Suppose that f is differentiable on (-o, 00) and f(-1) = 3. If f'(t) >-5 for all te R, th...

A: Lagrange’s Mean Value Theorem : Let f be continuous over the closed interval [a, b] and differentiab...

Q: (b) If the supply is S=g(P), equilibrium in the market requires that f (R,P) = g (P). What is ? Find...

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A: Topic:- limit Calculus 

Q: Determine from the graph of the following function whether it is one-to-one. 10 +x, x20 f(x) = 10, x...

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Q: Find the coordinates of the point P on the line and a vector v parallel to the line x = 3t, y = 1 – ...

A: Given parametric equation of line x=3t, y=1-t, z=3+5t

Q: 4) Two straight roads diverge at an angle of 65°. Two cars leave the intersection at 2:00 PM. One tr...

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Q: 1. Find the general solution of the differential equation: dy, dy + dx3 dºy dy = 0 dx6 dr5 dx?

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Q: dy dx = 4. dt Given y= 5x +2x, find when x = -3 and dt - - dy (Simplify your answer.) dt

A: dxndt = nxn-1 .dxdt

Q: A tank holds 52 gallons of water. Initially, at t = 0, a solution containing 1/6 lb/gal of a chemica...

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Q: In your notes, create an interval table for f(x) = x* - 8x? by testing values around the critical va...

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Q: sin (4) tan z 2. Find the derivative of f(r) = using logarithmic differentiation.

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Q: Find the volume of the solid generated by revolving the specified region about the given line. R abo...

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Q: 1.4 0.7 -0.7 -1.4 t (s) The graph above shows the position of an object in simple harmonic motion as...

A: The position of a object executing simple harmonic motion is given by sinusoidal function, e.g. x(t)...

Q: Consider the following differential equation - (8 – r) dr + 9rds = 0

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Q: 2. a. arctan(-1) b. tanV3 C. tan-

A: a)tan-1(-1)=-π4b)tan-1(3)=π3

Q: Solve the initial value problem. (Hint: there's a part you need to do u-sub) (Hint: find y then plug...

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Q: Identify if the given function is continuous on a given interval. 4. [3,7] 5. (-5,5) with explanatio...

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Q: Find u v, u u, ||v||², (u · v)v, and u (3v). u = (3, 10), v = (-4, 3) %3D (a) (b) (c) ||v|

A: Since you have asked a question with multiple parts in a single request we would be answering only t...

Q: The second order differential equation for the instantaneous position s(t) for the vibrating mass is...

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Q: Consider the following. 5i + 6j, v = 7i + 9j U = (a) Find the projection of u onto v. (b) Find the v...

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Q: Complete the interval table (you can do this in your notes) for the continuous function, then determ...

A: Find your answer below 

Q: y = kx?.

A: answer of given question is in next step

Q: S cot5xdx

A: Solve the integration

Q: 2 Find u, 3v, v - u, and 2u + 5v. 3 u = (7, 6), v = (4, –4) %3D (a) u 3. (b) 3v (c) V - u

A: Given : u=<7,6> v=<4,-4>.

Q: Let f(x) = 6 sin- (x³) f' (x):

A: Basic identities of differentiation are used

Q: Evaluate the integral. O sV3+4 + C V3+4 + C V3+4 O 5V3+2 V3+2 + C + C In x

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Q: 1- Find the vector P P2 and P2P1 a - P.(3,2,3) , Р.(5,7,-1) b- P1(-2,-1,0), P2(4,-5,2) P1(0,3,3), P2...

A: To find the vector P1P2 & P2P1

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

A: Topic = Geometry

Q: 12w3+6w2-5w+1 h : 5w+3

A: