If y = x² + 3x, x = 4 and Ax = dx = 0.2 a. Find dy Find Ay b.

Q: For the function h(x,y)= dh əh dy 11 || əh 7x + 6y əh find and 9xy-11 ?x dy

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Q: Find the Taylor series centered at c = -1. 342 3x – 2 f(x) = Identify the correct expansion. 4 Σ -(x…

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A: Note: There are multiple sub-questions. No specific question has been asked. So, We will solve the…

Q: Identify the x-intercepts for: f(x)=x²+x-12 O (0, -4) (3,0) O (-4,0) (3,0) O (0, -4) (0, 3) O(-4,0)…

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Q: According to the Extreme Value Theorem, if a function f is not continuous on (a, b), then f does not…

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Q: Consider the following function. f(x) = 4x³ + 3x² - 6x + 4 (a) Find the intervals on which f is…

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Q: Let f(x) = ln(3x + 5). Show by induction that the nth derivative of f is given    by…

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Q: For the function f(x)=3x5-3x + 2x³ +5x² +1, find f''(x), the third derivative of f, and f(4)(x), the…

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Q: Verify the identity. cos x + cos x cot² x = cotx csc x Drag an expression into each box to correctly…

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Q: Suppose you know that: What is lim an? What is n→∞ an-2. Let sn be the n-th partial sum of the…

A: Given that ∑an=5 and sn be the n-th partial sum of the series. We have to find limn→∞an and…

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A: The given statement, If f is continuous on a closed interval a, b, then f necessarily attains an…

Q: For the function ​f(x)=2e^−x^3​, find f′′(x). Then find f′′​(0​) and f′′​(1​).

A: To find f''(x)

Q: Find the derivative of the following function. Factor and simplify so that no negative or fractional…

A: See below the answer and calculation

Q: The temperature at point (x,y,z) in space is given by T(x,y,z) = x + yz. A fly is at the point (1,…

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Q: Find the derivative of the function. f(x) = e10 + xe f'(x)=

A: f(x)=e10+xed dx(xn)=nxn-1d dx(constant)=0

Q: Find the point of inflection of the graph of the function. (If an answer does no f(x)=x√√9-x =([ (x,…

A: Given: fx=x9-x

Q: y N (a) All the local maximum and minimum values of the function and the value of x at which each…

A: The graph is given

Q: 2. Prove div(curl(F) = 0, if F = Pi + Qj+ Rk is a vector field on R³ and P, Q and R have continuous…

A: Let us prove that div. curl F=0 Given:F=Pi+Qj+Rk is a vector field  in ℝ3To show that:∇.curl F=0

Q: For the function f(x) = 4x² - 5x+5, find f'(x). Then find f''(0) and f''(3). f''(x) = (Simplify your…

A: The given function is f(x)= 4x2-5x+5, find f''(x). than find f''(0) and f''(3).

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: Find the volume of a square pyramid with a base having a side length of 2 and a height of

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Q: Textbook If f(x) f'(x) = tan z - 3 sec z Videos [+] f'(3) = Question Help: Video Message instructor…

A: f(x)=tanx-3secxwe know  tanx=sinxcosxsecx=1cosxd dx(sinx)=cosxd dx(cosx)=-sinx

Q: Please help solve this and explain for me. Thank you. The temperature at point (x,y,z) in space…

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Q: x(t) Find a plane containing the point (8,-4,8) and the line y(t) = z(t) = = || - 4 - 6t 6+t - 5+ 4t

A: It is given that, The plane contains the point 8,4,-8 and the lines x=-4=6t, y=6+t and z=-5+4t.…

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Q: A sporting goods store sells 100 pool tables per year. It costs $48 to store one pool table for a…

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Q: Let p(x) = x³ - 17x² + 11x + 76. Compute p '(x) and use it to find all values of x for which p '(x)…

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Q: 5+4n - 2n² Put the following statements in order to justify why lim n→∞ 5n² + 8n +7 Statements to…

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Q: Find the vertex of: ƒ(x) = x² − 4x + 7 - The vertex is

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Q: Evaluate the integral. (Use C for the constant of integration.) x3 36 + x² dx

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Q: Can you elaborate how to incorporate c into the solution. Like c=0? And how does f'(0)=7 and…

A: Solution below

Q: Find the equation of the circle shown. 3 2 1 -1 -1 -2 -3 -4 -5 2 3 4 7 q

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Q: ) (a) Show using the product rule that [f(x) g(x)h(x)]' = f'(x)g(x)h(x) + f(x)g (x)h(x) +…

A: (a) To show the following by using the product rule. fxgxhx'=f'xgxhx+fxg'xhx+fxgxh'x (b) By using…

Q: If f is differentiable and f'(c) = 0, then f necessarily has a local maximum or local minimum valu…

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Q: Find the mass of a ball of radius 4 if the mass density of the sphere is proportional to the square…

A: To find the mass of a ball of radius 4 if the mass density of the sphere is  proportional to the…

Q: For the function f(x)=3x² - 2x+7, find f''(x). Then find f’’(0) and f’’(8). f''(x)=(Simplify your…

A: See this solution in below.

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

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Q: any unit vector dotted with itself is unity, aA aA = 1

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Q: Compute the product. This exercise should be done two ways: by hand and by using technology where…

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Q: According to the Extreme Value Theorem, if a function f is not continuous on (a, b), then f does not…

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Q: A graphing calculator is recommended. A fish swims at a speed v relative to the water, against a…

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Q: An electric charge, Q, in a circuit is given as a function of time, t, where C and R are positive…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. kindly repost…

Q: Please kindly help to solve and explain. Thank you very much.  3)  Find the critical points of…

A: Find the critical points of f(x,y) = xy2 + x2y + 8xy and classify each as a local maximum, local…

Q: Consider the following. u = (-5, 2, 4) v = (0, 1, 7) Find u x v. Determine if u x v is orthogonal to…

A: Use the formula for the cross product of two vectors.

Q: At the beginning of an experiment, a scientist has 392 grams of radioactive goo. After 165 minutes,…

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

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Q: 4 Replace the polar equation r sin 0-3 cos with an equivalent Cartesian equation. Then identify the…

A: Put x=r cosθ , y=r sinθso r=4 sinθ-3cosθgives, r sinθ-3r cosθ=4or, y-3x=4or, y=3x+4 This is the…

Q: Find the points on the given curve where the tangent line is horizontal or vertical. (Assume 0 ≤ 0 <…

A: Use the concept of derivative of polar equation and solve for horizontal and vertical tangents.

Q: Find u and v if u+3v = 3i − k and 6u − v = i +j+ k.

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Q: x+y2 - x5y + 4xy3 = 0 X

A: Given query is to find indicated derivative.