1. Solve for x. Round your answer to two decimal places. 2x a) e = 12 4x-3 b) 12 = 3e c) en (2x+8) = x

Q: Let f(x, y, z) = 5x³ - y³ + z². Find the maximum value M for the directional derivative at the point…

A: Let fx, y, z=5x3-y3+z2. To find the maximum value M for the directional  derivative at the point 1,…

Q: Evaluate by complete u -substitution x+1 (x-1)² dx

A: Use u-subsituation method

Q: (d) Use the quadratic model to predict the 2035 expenditures for national health care. (Round your…

A: We have given a table that shows the national expenditures for health care in the United States for…

Q: A toy ball is thrown into the air from the top of some bleachers which are 5 feet above the round.…

A: Given    h(1) which means after 1 sec height of ball will be 13 feet

Q: Prove or Disprove the following (show full solution) d at (x arcsinx + √T=x²) = arcsinx

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Q: Solve the following differential equations dr² dy +7x16y=0, y(1)=3,y(1)=1

A: NOTE: Refresh your page if you can't see any equations. . The given DE is, compare this equation…

Q: 1. Use f(x) = −1+ [g(t)dt and the values below to answer the following questions. 1 g(0) = = g'(0) =…

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Q: The first line does it read d/dx(x^h)=h*x^h-1 ????

A: The given rule ddxxh=hxh-1. We have to explain the formula.

Q: convergent (a) Determine whether each in (b) 1 L.3-²4x¹ 3 - 4x dx

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Q: Match each of the following vectors with its magnitude. t = (-7, 1) u = -2i-8j a vector with an…

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Q: 33. f(x) = X 2 x2 - 1

A: As per guidelines we support only three subparts of the questions.kindly repost next questions

Q: 1-16 Evaluate the line integral, where C is the given curve. 1. fcyds, C: x= t², y = 2t, 0≤ t ≤3

A: To evaluate the following line integral. ∫C y ds, C: x=t2, y=2t, 0≤t≤3 Note: Since, the student has…

Q: Evaluate the integral. S -21e - 25 e2x + 6ex + 5 -dx

A: To evaluate the following integral. ∫-21ex-25e2x+6ex+5 dx

Q: [8x(2x + 1)' & dx 5. Evaluate by a complete U - substitution (4 steps) replace all x's with u's}…

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Q: Evaluate the integral. If the integral converges, determine the number it converges to. If the…

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Q: Compute the integral f/4 tan² (x) dx . 1 1 6/2 15 3 |4 性 4

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Q: What is an antiderivative of the function x + 2xln(x)? x²ln(x)+2023 xln(x) +2023 In(x) + x xsin(x) +…

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Q: Use partial fractions to find the area of the given region. 7 16x² y = y 3

A: Now area of the region f(x) from a to b formula Area=int_a^b f(x) dx

Q: 11. Use a table to find the Taylor polynomial P3 (x) for f(x) A. B. P3 (x) = Use the series to…

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Q: Find sin(8) O√3 -|~ 2 √2 2 이틀 2 TT 5T/6 7m/6 2/3 4/3 TT/2 3T/2 ○ TT/3 5/3 _TT/6 /11/6 0

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Q: 3 What is f S₂² 1+1/2² dx ?

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Q: , 103√x - √x X dx

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Q: 1. Solve the following DE using Variation of Parameters: (D2 + 1) y = secx tanx

A: given that (D2+1)y=secx tanx solve it by using method of variation of parameters

Q: Find the area of the surface generated by revolving the curves about the x = sin t, y = 1 + cos t, 0…

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Q: Compute the integral f/4 tan² (x) dx.

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Q: Nadia wants to get to the bus stop as quickly as possible. But The bus stop is across a grassy park,…

A: The bus stop is across a grassy park. It is 1500 feet west and 500 feet north of her starting…

Q: What is fxe-* dx ?

A: Consider,

Q: 3 For the differential equation: (), what is the slope at (0,2)? √2y² +1 O 9 O 1 O

A: The differential equation y'=f(x,y) represents the slope field of the curve y=g(x,y). at any point…

Q: 3. A parallelogram is formed by the vectors OA = (6, 3) and OB (-1, 1). Determine the acute angle…

A: A parallelogram is formed by the vectors OA→=6, 3 and OB→=-1, 1.   To determine the acute angle…

Q: Use Lagrange multipliers to maximize the function f(x, y) subject to the constraint. (The maximum…

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Q: Solve for (x, y, z): 2x-2y+z=10 x+y-4z = - 17 3x-y + 2z = 13 O (4, -2, 1) O (1, -2, 4) O (2, 4, -1)

A: We have,  2x-2y+z=10 , x + y - 4z = -17 , 3x - y +2z = 13

Q: What is the volume of the solid created when the region under the curve -4? (Solve using any y =…

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Q: Find two unit vectors orthogonal to both (2, 8, 1) and (-1, 1, 0). (smaller i-value) (larger…

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Q: 3) Determine the Cartesian equation of the plane that has x-, y-, and z-intercepts at 3, -2, and 1…

A: The intercepts are: x-intercept , a = 3y-intercept , b = -2z-intercept , c = 1 To determine: The…

Q: 5 430 X 32°

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Q: What is S₂²1² dx ? 2 1+3x² (tan¯¹ (3√√/3) — tan¯¹ (2√√/3)) ·(tan¯¹ (3) — tan−¹(2)) tan¯¹ (3√√/3) —…

A: We have to find the proper integral.

Q: for fx xy fy yx f(x,y)=3x³y² + 4(3x + 2y)³ find

A: Given function is fx,y=3x3y2+43x+2y5

Q: Find the area enclosed by the ellipse a² b + y=-b√√√a²-x² y² 62 b y=1/√√a²-x² = 1 shown in the…

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Q: Solve the following differential equations ** - 2x +2y=x²₁ dy dx

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here we…

Q: The Seventh Gate As you approach the seventh gate, you notice that it is only a short distance to…

A: Given:  fx=2-62x To Find:  To determine the domain of the derivative of fx and  then to evaluate it…

Q: Evaluate the integral. (Use C for the constant of integration.) [70 7 tan(x) sec³(x) dx

A: The integration given is, ∫7tan(x)sec3(x)dx

Q: 3. Evaluate: 5x² - dx {2 Decimal places} Type. U = S

A:

Q: The following table gives the millions of metric tons of carbon dioxide emissions in a certain…

A: (a) To create a linear function that models the given data, we need to find the equation of a line…

Q: Solve the following first order DE: dy x+3x² dx y² a) 2 b) y'+=y= X ‚ then find that solution for…

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Q: X Sketch of f(x)= ƒ(x) = -√²-4

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Q: Express the set in interval notation. 3 Select one: O a. [3,9) O b. (3,9] O c. [3,9] O d. (-∞,3) 9

A: The number line represents the solution  the aim is to find the solution in interval notation

Q: 4. Show that det(AB) = det(A)det(B) for A ===[₂]

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Q: 0 3 x√x² + 16 dx 2

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Q: the scalar equation of the plane containing both the line of intersection of the planes defined by…

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Q: Tutorial Exercise Evaluate the integral. Step 1 [₁ 10 sin²(x) cos³(x) dx Since [10 10 sin²(x)…

A: Consider,