First find f' and then find f. f" (x) = 2x³ + 10x² + 6x +1, ƒ'(1) = 4, f(1) =-10.

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A: Suppose the set has a point   Plug into the distance formula:   and   is and   is

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A: The area between a curve f(x) and x-axis in the interval [a,b] is given by Formulas we use

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A: Here we will use the concept  curve of the graph

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A: Differentiation

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A:

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A: Formula used

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A: Given,

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A: Solution is following in explanation step.

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Q: Differentiate the function. 4x²-7 y= 3 9x + 4

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Q: If f3 g(x) dx = 12 and ₁ g(x) dx =-5, then f¹3 -3 g(x) dx = A)-7 B)-17 C) 7 D) 17

A:

Q: So sin x dx, trapezoidal rule n = 4

A: The trapezoidal rule∫abf(x)dx≈Δx2(f(x0)+2f(x1)+2f(x2)+2f(x3)+⋯+2f(xn−2)+2f(xn−1)+f(xn))Δx=b−an

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A:

Q: Problem 2. initial conditions: Sketch the graph of solutions curves to the following differential…

A: Solution is following in explanation step.

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Q: -54 -3 -2 Where A = Where A = 16 3 Where A = da 2 + Where A = + What is the domain of this function?…

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A: Given function To find:The integral  is approximated using

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A: x=−(−1)±(−1)2−4(2)(−6)2(2)

Q: Exercises 1: Find dy of the function y = sin-¹x² dx

A: We are authorized to answer one question at a time,so we are answering the first one, Please repost…

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A: The dimension of a rectangular shape cardboard are 8 x 3 cm rotated about the axisof 8 cm to form a…

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A:

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A: The objective of the question is to find the value of 'k' that will make the given piecewise…

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Q: □ 16 0 4 O 12 3. Use the definition of the derivative OR the alternative definition to find…

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Q: 21. lim x→7 3. /x + 2 x

A:

Q: Let A = {a, b, c, d, 2, 4, 6}. Determine whether each of the following is true or false. a. be A b.…

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Q: If f(x) = arctan(x), then what is the value of f'() in simplest form?

A: The function is given byTo determine: the value of .

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Q: Find the value of k that will make the function f(x) continuous everywhere. f(x) = {2²2² (2x + k, 3…

A:

Q: Find the exact solution(s) to the following equation. 32x-1=5x+1

A: Consider the equation

Q: Solve the system below. Parameterize the solution set. -X + 3y + 3z 2x 6y + 2z 2x бу + z 1 W 14ω 12w…

A:

Q: Complete the table after finding a simplified form of the difference quotient. For the function

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A: The table below gives the annual sales (in millions) of a product.To find the average rate of change…

Q: 5) (5) 6. Solve the equation. (a) (5x + 2)² - 9 = 40 bc -3 -1 (6) χ2 - 3x 11 1

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Q: 58. lim x →0 [1/(x + 4)] − (1/4) X

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Q: Find the indefinite integral. cos³130 sin130 Select one: O a. O b. O c. O d. - de O e. sin136 (3+…

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Q: f²r²e-³dx Select one: O a. 3(1-e-8) O b. - (1-e-³) (1-es) O c. O d. 1-e-8 O e. -3(1-e-8)

A: The expression of the definite integral is given byTo determine: the value of the integral.Formula…

Q: 2 7 Find day if y= 2² +1 and t=x²-4 dx2 das

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Q: 3 5 (블루)+틈 2 4 12

A: Consider

Q: 3. What product is shown by the model?

A: