Find the differential of ƒ (x, y) = √√√x² + y³ at the point (1, 2). Enter the exact answer. df = Use it to estimate f (1.01, 1.92). dx + Round your answer to three decimal places. f (1.01, 1.92) ~ i dy

Q: 3. Consider the functions f(x) = x 0.9 0.99 (a) Fill in the table below for the functions f(x) and…

A: We have to find out the values of the functions at the different x values and also the limits.

Q: 3.4. A company that makes smoothies is planning to market its product. After a market survey they…

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Q: 4. Find the derivative of the function f(x) √3x using the (limit) definition of the derivative. No…

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Use the table to find lim f(x) f(x) 13 13.9 13.99 14 14.01 14.1 15 10.8 10.99 10 11.02 11.1 lim_ƒ(¹)…

A: Note: For finding limits from the table we have to observe the limits how they are approaching in x…

Q: Sketch a possible graph of a function that satisfies the conditions below. f(0) = 1; lim f(x)= 3;…

A: Topic = Function Correct graph =D

Q: antiderivative  F(x)   with  F′(x)=f(x)=3+21x^2+14x^6   and  F(1)=0  .

A: Given query is to find antiderivative.

Q: 4. Solve the system of linear equations x + ay = 2 bx + 2y = 3*

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Q: Let f(x) = [2x +9 if x 2 Determine whether f(x) is continuous at x = 2. If f(x) is not continuous,…

A: Given query is to find function is continuous at x = 2 or not.

Q: 9. Show that adj(adj A) = A if A is an invertible matrix with det A = 1.

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Q: Which angles are coterminal with an angle measure of ², ? 2π 3 Select all correct answers. 4π 3 10п…

A: given angle is θ=2π3

Q: Find the indicated derivative. If f(x) = √√x+2, find F"(x).

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Q: Consider the series (√k +1 − √k). - k=1 1. Recall that Sn denotes the nth partial sum, (√k +1-√k).…

A: Consider the series ∑k=1∞ k+1-k.1 Recall that Sn dentotes the partial sum, ∑k=1n k+1-k.To determine…

Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

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Q: determine the open intervals on which the graph of the function is concave upward or concave…

A: Given query is to find the interval where function is concave up and down.

Q: Consider the differential equation dy dx The differential equation has an equilibrium solution at y…

A: To find the limit of the give function.

Q: b)[((sin² x) In(x² – 3x + 1)(tan−¹ x)) dx] -

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Q: if I 5 Use a graph to determine the following limits. Enter DNE if the limit does not exist. lim…

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Q: If f(x)= X N X-2 X-6 where is f not differentiable?

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Q: Early Monday morning, the temperature in the lecture hall has fallen to 40°F, the same as the…

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Q: For what values of x does the graph of f(x) = x + 2 sin x have a horizontal tangent? (Use n as your…

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Q: Q11 Recall: We say that a function f is continuous and differentiable at x = cif (a) f(c) exists.…

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Q: Find the following limit." lim x →4 x3-8x2+20x-16 x-4

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Q: x = 2y² – 2z² (Write an equation for the cross section at z = -1 using x and y.) (Write an equation…

A: We can answer only 3 subparts of the given questions hence kindly repost the remaining questions…

Q: 11) 2e(2 sin 7x) sec 7x dx

A: Here is the solution:

Q: Using the graph of f below, determine what type of discontinuity does f have at the given numbers.…

A: There are several types of discontinuities, including: Jump Discontinuity: A function has a jump…

Q: Use the product rule to find the derivative of the following. ply) = (y¹ + y 2) (3y3-4y-4) p'(y) =

A: Given: p(y)=y-1+y-23y-3-4y-4

Q: Find the slope of the tangent line to the graph of f(x)=−4x2−5x+3 at x=−2.

A: f(x)=-4x2-5x+3slope=f'(x)dxndx=nxn-1

Q: Consider the function f(x) = 4x³ 30x² + 48x on the interval [-3, 7]. Find the absolute extrema for…

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Q: Evaluate 32 tog log₂³² - log₂8

A: let  V=log232-log28formula used logxn=nlogxlogxx=1

Q: if n(A U B) = 97 and n(A) = n(B) = 69, find n( A ∩ B)

A: We are asked to find n(A∩B)

Q: 1 1 Consider the function f(x) = -4x4+x on the interval [3,21]. Find the absolute extrema for the…

A: Introduction:  the absolute extrema are nothing more than the largest and smallest values that a…

Q: Evaluate the limit, if it exists. lim √4+h-2 h

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Q: Estimate f′(4) for f(x)=4^x Be sure your answer is accurate to within 0.1 of the actual value.…

A: Given query is to find indicated derivative.

Q: 25. Which of the following series conditionally converges (−1)²+¹ (-1)" 4 n √n 1.Σ n=1 1 1. Σ III. Σ…

A: A series∑an is conditionally convergent if  ∑an converges and  ∑|an| is diverges.

Q: Suppose f is a one-to-one, differentiable function and its inverse function f-¹ is also…

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Q: Trace or copy the graph of the given function f. (Assume that the axes have equal scales.) Then use…

A: For given graph for (-∞,0) slope is positive but decreasing.   ( cancel out option 4)at x = 0, slope…

Q: O Macmillan Learning Find the limit 2yz lim (x,y,z)-(0,0,0) x4 + y² + z² along the line x = 3t, y…

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Q: What is the monotone and bounded functions? Explain with examples.

A: monotone functions: Functions are known as monotone if they are increasing or decreasing in their…

Q: 2. Find the limit of the following functions e. lim (4x) X-4

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Q: Question 1.Consider the first order equation:(sec2(y))y′−3 tan(y) + 12 = 0.  This equation is not…

A: To find he solution of the given differential equation.

Q: Suppose the position of an object moving in a straight line is given by s(t)=t² + 5t+3. Find the…

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Q: 4. Let f(x)= = x-1 x²-1' (i) State the domain of f. (ii) At which values of x does f have a…

A: Detailed solutions are given below.

Q: Find the slope of the line tangent to the graph of f(x)=7−x at x=4

A: f(x)=7-xslope=f'(x)dxndx=nxn-1d dx(constant)=0

Q: A = B = C = | Now evaluate the indefinite integral. 2x² + 3x + 27 1 9) -dx =…

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Q: 7. For which values of x, y, z is the following matrix invertible? Explain. [1 1 X 23 y 2 Z A = .

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Q: For the function, find the following. (a) f'(x) f(x) = x² - 6x³ - 7x² + 4x - 6 (b) f"(x) (c) f(x)…

A: The following formulas of derivatives has been used to solve this questiona.…

Q: 38. Find the points on the curve y = 2x³ + 3x² - 12x + 1 where the tangent is horizontal.

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Q: Suppose that Find f'(x). f'(x) = = f(x+h)-f(x) = 6hx - 4h +8h².

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Q: For x = 7t² and y = 7 - 8t, find dy/dx. 1. dy -8 dt 2. de dt 3. dy dx 8

A: