1-4 Find the linearization 4 1. f(x) = x² + 3x², L(x) of the function at a. a = — · 1 2. f(x) = ln x, a = 1

Q: Given f(x) f''(x) = = = √²* (t³3 + 4t² + 6) dt, 0 (t³ + 4t² + 6) dt, answer the follow

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Q: (a) n= (a) 73 11. Use the Integral Test to determine whether the series is convergent or di-…

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Q: Use the given information to find the exact function value. Simplify your answer as much as…

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Q: EXERCISES Find the slope of the line that passes through each 2. V(0, -3) and W 1. S(2, 7) and T(4,…

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Q: Obtain the equation of f(t) ? y(t) taking into account the following differential equations: y'' -…

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Q: 1. Use the following four relations to answer questions a) through d) below. i) {(-1,3), (2,4),…

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Q: Use the Divergence Test to determine whether the following series diverges or state that the test is…

A: Given query is to find series converges or diverges.

Q: dx

A: See the details solution in below

Q: write a formula for ƒ  g  h.7. ƒ(x) = x + 1, g(x) = 3x, h(x) = 4 - x8. ƒ(x) = 3x + 4, g(x) = 2x -…

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Q: Find the interval of convergence of the se- ries Σ(-1)" n2"x". n=1

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Q: 6. Find the directional derivative of the function ƒ (x, y) = x² + x sin (y) at the point (1,7) in…

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Q: Write an equation linking the height h of the balloon to the angle theta. a. cos theta= 21/h b. cos…

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Q: 10 Consider the function f(x) = 5x¹⁰ + 10x5 – 10x² – 9. Enter the general antiderivative of f(x)

A: The given function fx=5x10+10x5-10x2-9. We have to find the antiderivative of fx.

Q: π For the function f(x) = sin x, where a = - 4' a. Find the Taylor polynomials of order n = 1 and n…

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Q: Which of the following is equivalent to ® A ® (B © C [√zdz. / (92²-2√2-#) de 9x³ + / [√T (9x³ − 2 √x…

A: Topic = Integration

Q: 6. For all n > 2₁ 7²²_8 hverges. 72, and the series converges, so by the Comparison Test, the series…

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Q: Show steps and find the exact value of 3x+4 dx . Do not use Table Entries. x² +4 T

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution.…

A: ∫xndx=xn+1n+1+cI=∫2x2x2-4dxd dx(xn)=nxn-1

Q: -3 f(x) y 6 3 -3 -6 3

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Q: The radius of a circle is increased from 5.00 to 5.09 m. Estimate the resulting change in area, and…

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Q: Evaluate Lola² + 2x + 1) dx + (2xy + 4y - 1) dy along the given path C from (0, 0) to (2, 4). C is…

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Q: Let C(n) be a city's cost, in millions of dollars, for plowing the roads when n inches of snow have…

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Q: Let y = (cos(2x))* A) Use Logarithmic Differentiation to find dy dx dy dx B) Find the equation of…

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Q: An inverted pyramid is being filled with water at a constant rate of 50 cubic centimeters per…

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Q: 1) for what value of k does kx² + 7x-6=0

A: See this solution in below.

Q: f(x) dx, given than = 4 Find the value of 6 f(x) is odd, and ſ≤₂ ƒ(x) dx √₂ f(x) dx =

A: Integral

Q: You have a rectangular garden along a straight wall. You want to enclose the other three sides of…

A: Topic = Area

Q: Let f(x) = ex²-1. The set f-¹([1, 3)) is: 75.5. O (A) (-√1+log 3, -1] U [1, V1 + log 3) O (B)[-√1+…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  we need to find…

Q: For f(x) = 2√x and g(x) = xª + 6, find the following. (a) (fog)(x) (b) (gof)(x) (c) f(f(x)) (d)…

A: The given functions, fx=2x and gx=x4+6. We have to find the required composite functions.

Q: Nutrition   A certain company′s Mixed Cereal for Baby contains, in each serving, 80 calories and 10…

A: This is a linear programming problem. Here, we will first find the system of inequality, then graph…

Q: 1. Circle all of the following that are considered indeterminate forms. 0⁰ 818 010 018 0.0 0.0 4154…

A: We have some indeterminate forms. We have to identify among the given ones.

Q: diagram. L(0) = = Ꮎ [B] Now, find the derivative, L'(0). Type theta for 8. a We wish to find the…

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Q: If f(x) = 7ª arctan(4x²), find

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Q: Provide 1 real-life situation involving  a) Rational Function b) Exponential Function Make sure…

A: Let us provide examples of rational function and exponential function below.

Q: Find the equation of the tangent line to the curve ïªe -0.2y = y at the point (7.38, 9).

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Q: EstimateR3,M3, andL6 over [0, 1.5] for the function in Figure 17.

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Q: Architecture A special window has the shape of a rectanglesurmounted by an equilateral triangle. See…

A: We have to find the dimensions of the window.

Q: Find a power series function 1. f(x) 2. f(x) 3. f(x) 4. f(x) 5. f(x) 6. f(x) = = = = = = f(x) α n=0…

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Q: Which of the following is equivalent to A In 5 1.1.5 In 3 udu 5 to fº 5 xlnrer ?

A: NOTE: Refresh your page if you can't see any equations. . use the integration-by-parts method so…

Q: Find the slope of the graph of the function f(x) = √√x+4 at x = 0.

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Q: Suppose that and y are both differentiable functions of t and are related by the equation y5 + x =…

A: we will find the required.

Q: Find each of the following integrals: a) [e-21 dz, -22 dz, (b) z sin 2² dz, (c) J z²+1 dz, 23³ +3z…

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Q: If f(x) = 7x² - x + 5 and h = 0, find the following and simplify. (a) f(x + h) (b) f(x+h)-f(x) h ||

A: a) Replace x by (x+h). b) Substitute the required.

Q: Textbook E Videos [+] A farmer finds that if she plants 75 trees per acre, each tree will yield 60…

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Q: 6. Use a Table Entry to find the exact value of 0 2x sin(7x) dx.

A: Solve by by parts method

Q: Let f(x) = 9 + x + x² and h = 0. (a) Does f(9 - 1) = f(9) + f(1)? Yes O No (b) Find f(x + h). (c)…

A: The given function is; f(x)=9+x+x2

Q: Find the equation of the plane passing through the points (1, 0, 1), (−1,1,0) and (3, -3,2). Leave…

A: NOTE: Refresh your page if you can't see any equations. . given points are

Q: A boat is anchored offshore. From the bow of the boat, 40 ft of anchor line is out with 5 ft of line…

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Q: Show steps and find [x² sin² (x³) dx. Do not use Table Entries.

A: The given integral: ∫x2sin2x3dx.

Q: Find the exact solution for e2-6e - 27 = 0. If there is no solution, enter NA. Enclose arguments of…

A: Given Equation:- e2x-6ex-27=0