Find lim(x-4) a. x-3 b. x→3 1 3 - (x-3) N|♡ 3

Q: Apply a second derivative to identify a critical points as a local maximum, local minimum or saddle…

A: need to find out the critical point.

Q: 3 (-1,2.625) -2 -1 4 N 0 -2- (-2,-2.25) -4 Graph of f(x) 1 2 Given the graph of the continuous…

A: Solution : From the given figure it is clear that

Q: Find the derivative y'(x) implicitly for the equation y'(x)= 2 3y -4y 3 5+2y +4x X 4x + 5 y = 3x+p².

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Q: 5. Expand the logarithmic expression and simplify. In e' (+1)*

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Q: Due to unavoidable wear and tear, the output from an aging packaging machine is expected to decrease…

A: current output of the machine = 8525 unit per hour

Q: 1. An open box is to be made from a 20-inch by 32-inch piece of cardboard by cutting out x-inch by…

A: Topic -Application of derivatives We are given a cardboard of 20 inch by 32 inch and we need to find…

Q: integrating

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Q: G. Let C be the curve defined by R(t) = (2e²t - 3,1-e²t, 2e²t). i. Find a vector equation of the…

A: Let C  be the curve defined by R→t=2e2t-3, 1-e2t, 2e2t.If the arc on C from the point P-1, 0, 2 to…

Q: one has a Tess man its polynomial function. The volume of a cone is V = ²h for radius r and height…

A: Given query is to find the volume of the function.

Q: Find the absolute minimum and absolute maximum values of f on the given interval. f(x) = x - In(6x),…

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Q: Use the Laplace Transform to solve the given initial value problem. y" + 2y' + 5y = 0; y(0) = 2,…

A: The given equation is; y''+2y'+5y=0, y(0)=2, y'(0)=-4.

Q: me differential equation as a solution y=- nen: = || || I I I -5te4t y"""' + ay"" +by" + cy' + dy +…

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Q: Use the e-6 definition of continuity to prove that the following functions are continuous at the…

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Q: Use logarithmic differentiation to find the derivative of y = (In(4x))(5x) (where x > 1/4 so that…

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Q: f(x)=10x

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Q: Find the Differential Equation whose general solution is y = C₁e4t + C₂e-³t Oy" -y' -12y=0 Oy"-y'…

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Q: Find the critical numbers of the function f(x) graph. x = X = X = is ✔ Select an answer Local Max…

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Q: Question 8 Solve the given differential equation (where the function is subject to the given…

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Q: Find ff f(x, y) dA where f(x, y) = 3x + 1 and R= [0, 3] x [1,3]. R SSR f(x, y) dA =

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Q: Graph and describe transformation of the following function: f(0) = -3csc (0+)-1 where 0 ≤ 0≤ 2. Use…

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Q: Find the maximum rate of change of the function at the point, and find the direction in which the…

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Q: (3) Sketch a curve y = f(x) that satisfies: f(0) = 3, and dy dx -2. What is f(x)?

A: The function y=fx that satisfies f0=3, and dydx=-2. We have to find fx and sketch its graph.

Q: use the appropriate compound interest to find the amount after 4 4 years the account. io 21,000…

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Q: Assume that f (x) is differentiable functions for all x. Find the derivative of h(x) = x³. f(x).

A: Given that fx is differentiable function and hx=x3·fx We have to find the derivative of hx.

Q: The graph of a quadratic function with vertex (-1, 0) is shown in the figure below. Find the range…

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Q: Find the following for the given equation. r(t) = (e-t, 5t², 7 tan(t)) (a) r(t) (b) r"(t) = (c) Find…

A: Given: rt = e-t, 5t2, 7 tan t To find: r't , r''t and r'(t)·r''t We know that  ddxex = ex ; ddxtanx…

Q: ... 03008 3. Graph the inequality subject to the nonnegative restrictions. Make sure to # the lines…

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Q: ? Question Suppose a product's revenue function is given by R(q) = 4q² + 600q. Find an expression…

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Q: 2. Use a calculator to evaluate the following expressions. Round your answer to 3 decimal places. a)…

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Q: 7. Use the chain rule to solve each problem: θω (a) Find for w= x² + y² + z², where x = st, y მs s =…

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Q: ind y" if y tan x. A] 2sec²x tan x D] 2 sin x + 2 cos x [B] secx tan x [E] sec x tan²x [C] 2 cos x…

A: y=tan(x)    ddx(  tanx ) = sec2x

Q: Solve the following differential equations by separation of variables: y' = ²/² 4tdy= (y² + ty²)dt…

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Q: nd the solution to the boundary value problem: e solution is d²y dt² 2 dy dt + 5y = 0, y(0) = 1,…

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Q: дz (b) Without using implicit differentiation, find where xyz + x-y-z = 1. dx 2

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Q: 3. Write a formula that relates three different variables? (Hint: think about volume of geometric…

A: Solution : Given that

Q: π/4 de Evaluate the integral √ (secx + cos x)² dx LENT O blen

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Q: Q= (a) Find the point that is a distance 0.1 from the point P = (5,6) in the direction of v = (1,…

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Q: - 1. Evaluate the x for parametric equations x = 3t² – 6t a y = 3t³ + 3t with respect to the…

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Q: b) f(x) = x³ x², [-1,3]

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Q: Given the function h (x) = 9x¹ 9x¹ - x² A) Factor: h(x)= [Select] B) Determine the real zeros:…

A: Need to find out the factors and also the real solutions.

Q: Parameterize boundary of triangle (0,0),(5,0),(3,9)

A: We can parameterize the triangle in the below steps.

Q: Determine the domain and range of f(x) = 4(x − 3)² + 4. Enter the solution in interval notation.…

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Q: Answer is incorrect

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Q: How many local maxima does the function f(x) = 2x5 - 5x4 - 10x³ + 4 have? A] 4 [B] 3 [C] 0 [D] 2 [E]…

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Q: Let the graph of f(x) be given below. Find the formula of f(x), a polynomial function, of least…

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Q: Quantitatively prove the following: If f: R3 → R  has continuous second derivatives, then  ∇ × (∇f)…

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Q: 8. y'=fln(y²¹) + 1²

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Q: The answer wasnt correct

A: Given; f(x,y)=xy, point (-4,-1) and direction is <-3,-5>.

Q: Calculate Duf( – 4, − 4, 1) in the direction of 7 = f(x, y, z) Round your answer to four decimal…

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Q: Suppose a product's revenue function is given by R(q) - 4q² + 500g, where R(q) is in dollars and q…

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