3. f(x) = A. x = 0 B. x = 1

Q: rection: Determine if the given function is continuous and differentiable at the indicated values of…

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Q: Find the distance between the parallel planes – 2x + y +z = 0 and 10r – 5y – 5z – 11 = 0. Note:…

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Q: dx 21 + C %3D

A: We have to find the value of ?

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: Set up iterated integrals for the scenarios described below. a. Set up, but do not evaluate, an…

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Q: The graph at right shows a function g(x) a) Where is the function decreasing? b) Where are the local…

A: Given query is to find intererval where function is decreasing and local minimum location.

Q: 3. Determine all the roots (real or complex) of the polynomial p(x) = 2x4+13x³+27x2+13x-15.

A: Since you have posted multiple questions. As per guidelines, we"ll solve only first question. If you…

Q: Now, let f"(x) =0 and solve for x. Remember that f"(x) = - sin is a periodic function, and thus…

A: use the equation above for solving the equation for x.

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 - 2xy + y²,…

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Q: 3. Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x– y + z =…

A: This question is based on finding direction cosine using dot product as two perpendicular plane is…

Q: (-1)"(n + 2) 2n+1(n + 1) 4. Compute the exact value of n=0

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Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(r - 1) +2"- x has a critical number…

A: We prove that f'(c) =0 , here c is critical points.

Q: 3" Σ 2. Use a direct comparison to test the convergence of 4" +n

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Q: A particle is moving on a straight line has acceleration a=5-3t and it's velocity at time=2. If s(t)…

A: Solution: a = 5-3t v(2)=7 s(2) - s(1)=?

Q: 1. Budgeting for least cost. A manufacturing company pro- duces two models of an HDTV per week, xr…

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

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Q: Using algebraic substitution, differentiate the following |2+ Vx dx

A: Note: Since, the student has made an typing error by writing "differentiate" in place of "integrate"…

Q: Two angles are supplementary. If 2 times the measure of one angle is 6 times the measure of  the…

A: This question is based on that supplementary angles sum equals 180 degree.

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

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Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of v…

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: (c) f(0) 4 (d) lim f(x) X-0 (e) f(2) (f) X-2 lim f(x) (g) f(4) lim f(x) X-4 (h)

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Q: Arctan°9x dx =b Arctan 3x+C, i+9x2 what is b?

A: Solving the given integral by substitution.

Q: f the following graphs is continuous and differentiable at a and (x) if it is not…

A: We have to find the following given conditions according to the given

Q: 6. Differentiate y with respect to x using A-method. x-3 a. y = X b. у %3D V4x + 3

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Q: A Use the method of Lagrange multipliers in Problems 7-10. I SL.

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Q: Let a=ci+ja=ci+j and b=9i+45jb=9i+45j. Find c so that a and b are orthogonal.

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Q: If Arctan gx 3. dx =b Arctan* 3x +C, what is b?

A: Solving the given integral by substitution.

Q: 5. If f(x) = 2x² + 3x + 5, f(c) = 20, and the interval is [0,5], use the Intermediate Value Theorem…

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Q: Evaluate the integral. S(-241 - s)at 3 xdx = 2 15 given, a'dr = x²dx = dx = 1, O -36 O -146 O -114 0…

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Q: (3y²+ 2x³)dy + 2xydx=0

A: As we know that; The differential equation Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x. The solution…

Q: 2, if x 1

A: The given function,  f(x)=1x,if x≤1x2-1,if x>1

Q: -4x2 f(r): r(r+8)(r – 2) (x+2)3 8(7r - 4) (x+2)4 with f'(r) = and f"(x): (r + 2)2 ' a. Find the…

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Find the exact volume of the solid formed in the first octant bounded above by the cone z = 2 - /x2…

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Q: (-1)" Given: In(1+ x) = > if |a| < 1. n + 1 n=0 3. Use the third degree Maclaurin polynomial of f to…

A: We can solve this as follows:

Q: Find the directional derivative of f at P in the direction of a. f (x, y, z) = xy + z²; P(3,4,–4); a…

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Q: 2. Evaluate the following limits. cos X h. lim-

A: Limit

Q: Find the demand function q = D(x), given the following elasticity conditions. E(x) = q = 205 when x=…

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Q: af when r = 2, t =- 1 of the function ar 4. Use the Chain Rule to find- f(x, y, z) = e3xy² cos 2xyz…

A: This is a problem related to chain rule for differentiation. Based on the formula we will find out…

Q: n: - 4.r? with f'(x) = (x+ 2)2 r(r+8)(r – 2) (x + 2)3 8(7.r – 4) - f(r) = and f"(x) = %3D %3D %3D…

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Q: Find an equation of the plane through(-4, 4, – 4) that is perpendicular to the planes 9x – y + z = 9…

A: Given,            The plane passes through -4,4,-4 that is perpendicular to the planes…

Q: The supplement of an angle is twenty degrees less than four times the angle. Find the measure of the…

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Q: Find y' in the function In (xy + x+ y) = 2 using implicit differentiation.

A: The given equation is: ln (xy+x+y)=2...(1)

Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, Р(5,…

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Q: •A savaic has propossitien is a ? what is the Mimerical coefficient of -5xy^2? Simplify…

A: The answers are :

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A: To Find : a) A vector oppositely directed to v=17,-8 and hal the length of vb) A Vector that as…

Q: Use Lagrange multipliers to find the indicated extrema of f subject to two constraints, assuming…

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Q: Determine the sum of the following series. 1" + 6" 8n п-1

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Q: -4 X+

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