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Q: 4. The value of A. 2 In x + 1 + B. C. D. 2 ln 2 ln 2 ln 2x² + 3x +3 (x+1)³ x + 1 + x + 1-1 x + 1|- 1…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A: Given that , fx,y,z=x2+y2+z2 and constraint is x+y+z-27=0 find the extrema using Lagrange…

Q: doesn't

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Q: Determine if each of the equations given is or is not exact; Solve those that are exact. a) (x +…

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Q: Find all relative extrema and saddle points of the function. Use the Second Partials Test where…

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Q: The slope of the secant line to f between points a and b is the same thing as the average rate of…

A: Slope of secant line is not equal to the average rate of change. Because, average  rate of change is…

Q: 1₂ = 2√ x²+) ·cos (nwot) at = [² (-²) 2 O 25+ (1+) Cos (2nrrt) dt = 21- 1² (1-1) Los (n 2πrt) (t-1)…

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Q: lim (x,y)→(0,0) lim (x,y)→(0,0) 7x²+4y 4y 49x²-98xy+49y² 7x-7y

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Q: An inverted square pyramid has a height of 8 feet and a top edge equal to 3 feet. Initially, it…

A: Concept: The term "square pyramid" refers to a three-dimensional geometric form with a square base…

Q: 1 For what values of x is f(x) = concave downward? A B C D f(x) is never concave downward on its…

A: The given function is: fx=1x4  For what values of x, f(x) has concave downward.

Q: f'(x) = -2 sin(x), ƒ(4) = √² +7

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Q: Question 10 of 10 U Sketch a possible graph of a single function satisfying all of the following…

A: We have to sketch the function.

Q: Find the average rate of change of the function f(x) = -5x² – 3x + 1 between x = -1 and x = 0. Enter…

A: I have stated the used formula in the solution

Q: Solve the given differential equation. 11x² – 1 11 + 5y y' =

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Q: 6. Demonstrate that Σ j=0 1-z' 1-z

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Q: The Haycock formula for approximating the surface area S, in square meters (m²), of a human is given…

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Q: For what values of x is the function f(x)= A 2 B с The function is never increasing The function is…

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Q: Let u =(3,-4) and v= (-1,-4). Express u+v in the form (a,b). u+v= (Simplify your answers.)

A: The objective of the question is evaluate the sum of given vectors .

Q: Find the four second-order partial derivatives for f(x, y) = 2x³y² +6x5y4. fxx² fyy= x" fyx 11 11 11

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Q: Find a function whose graph is the given curve. the bottom half of the circle x2 + y2 = 4 f(x) =

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Q: Use the method of variation of parameters to determine the general solution of the given…

A: Determine the general solution of differential equation…

Q: eased equipment worth $70,000 for 5 years. If the lease rate is 5.75% unded quarterly, calculate the…

A: Please refer to the image below

Q: Let a and b be real numbers. Find all vectors (3,a,b) orthogonal to (6,-8,-7). What are all the…

A: Let a and b be real numbers. To find all vectors 3, a, b orthogonal to 6,-8, -7.

Q: 8. f(sin3x – cos4x) dx

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Q: Find the curl and the divergence of the vector field. F(x, y, z) = x²yzi - x³y k i + Submit Answer…

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Q: If f(x) is differentiable at x = a then f(x) is also continuous at x = a. A True B False

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Q: 4. Find the area of the surface formed by revolving the graph of f(x) = x² on the interval [0,…

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Q: f(x, y) = -(x-7)² In²(y + 4)-(4x + 7y)². Find all the first partial derivatives of a) the function…

A: As per the guidelines of bartleby the first question from multiple questions is answered at a time,…

Q: Find the solution of the following initial value problem. y" + 10y' + 21y = 0_y(0) = 9, y'(0) = −55…

A: Given: The characteristics equation is m2+10m+21=0. So,                  m2+10m+21=0⇒m=-10±102-4·…

Q: Evaluate the limit using the Basic Limit Laws and the limits lim, tp/q = cpla and lim,→ck = k. (Use…

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Q: 4. S (e² + 1)2² dx ex

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Q: Evaluate the integral. Select the correct answer. none of these 2xcos(2x) 4x²-2 4 8 2xcos(2x) 2 +…

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Q: Refer to the figure and find the volume generated by rotating the given region about the specified…

A: Disclaimer:  “Since you have posted a question with multiple sub-parts, we will solve the first…

Q: Find the area of the region bounded by the graphs of the equations. 9 x = 1, x = e, y = 0 x

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Q: 3. Find the volume of the solid of revolution formed by revolving the region bounded by y = x - x³…

A: To find out the volume of revolution.

Q: Find the relative maximum and minimum values. f(x,y) = x² + xy + y² -34y +385 Select the correct…

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Q: 1). 5. If == In determine if the following statement is true or false. Justify your answer.

A: Given that      z = ln(x/y)

Q: Find the minimum distance from the point (0,0,0) to the plane 9x+4y+z=5.

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Q: 5. Demonstrate the following identity: Ecosnt : cosme sin (m+1)0 sin n=0

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Q: Find all the zeros of the quadratic function. y=x² - 10x+16 If there is more than one zero, separate…

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Q: f(x) = 2x + 5

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Q: 4 3 dy = (y² + 1) cos(x) y dx хр

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Q: T - Compute u v if u and v are unit vectors and the angle between them is 73 2 u*V= (Type an exact…

A: In this question, we want to find the dot product of the given vectors u and v.

Q: Use any method to solve the system. (If there is no solution, enter NO SOLUTION. If the system is…

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Q: 12. Consider the differential equation: 2a + (b₂+ a(a +1) df dz Z d² f dz² + a(a + 1) √(z) = 0₁ Z a,…

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Q: 10 3x Find the derivative of f(x) = x¹0e³ª. f'(x)= =

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Q: Question 8 Which of these is the volume of the solid of revolution generated by revolving the region…

A: Here we have to find the volume.

Q: (8) A ITI system is described by the D.E. y +6 Y+8y=2XL) find h(t) then find y(t) if X(t) = té²t…

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Q: Find the areas of the regions enclosed by the following curves. = 2sin 20

A: To find the area of the region enclosed by the following curve.r=2 sin2θ

Q: Let g(x) = f(1) dt, where f is the function whose graph is shown below. What is the value of gʻ (8)?…

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