Consider the function: Step 1 of 2: Findf"(x). f(x) = = 2x + 7 5x - 10

Q: Determine whether the following Consistent or not a) 5x +2y = 1 3x +2y = 1 b) X₁ + X₂-2X3 + X4 = 9…

A: Here, to check whether the given system is consistent or not.

Q: Finding Points of Inflection In Exercises 37-42, find any points of inflection and discuss the…

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Q: 1/2 y = (4x-3)¹/²₂ d³y 3 dx

A: Third derivative id given.

Q: 3. Write down the name of the conic given by the polar curve r = 6/(2-sine). Determine the vertices…

A: Given problem:- 3Write down the name of the conic given by the polar curve r = 6/(2-sin(θ))…

Q: A sketch of the region enclosed by y = x and y = 2 2 7 Area of the region 24 wo Q 7.5x x² + 1…

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Q: Solve the D.E ý - y = x لم

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Q: Consider the curve C of equation: (x² + 2y + y²)² = 4(x² + y²). From the following options choose…

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Q: A fence must be built to enclose a rectangular area of 20,000 ft². Fencing material costs $3 per…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Given that [²x²x 1/3 dx = Need Help? Read It use this fact and the properties of definite integrals…

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Q: Introduction to Derivatives ections: Read the paragraph. On a separate sheet of paper, answer the…

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (√25x² 25x² + x - 5x -…

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Q: The revenue from the sale of a product is given by the function R=3000x-0.1x³ dollars. Use graphical…

A: Write an inequality to represent that revenue must be at least $39,960. 3000x-0.1x3-39,960≥0

Q: 12. y' = x² - 2xy + y²

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Q: Let R be a plane region with area A whose boundary is a piecewise smooth, simple, closed curve C.…

A: Let's find.

Q: d²y_dy + y = 0 dx d³y_d²y dx³ dx²

A: Auxillary equation ism3-m2-m+1=0m2(m-1)-(m-1)=0(m2-1)(m-1)=0(m+1)(m-1)(m-1)=0m=-1.1.1  are the roots

Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise.…

A: Using greens theorem

Q: 1 HW Score: 0%, 0 of 14 points O Points: 0 of 1 E Homework: Module 3 HW 16.4 Question 14, 16.4.33 >…

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Q: 12. A company has agreed to pay $4.2 million in 6 years to settle a lawsuit. How much must it invest…

A: Solution: Due Amount in 6 years Fv=$ 4.2 million annual rate =6%

Q: α 4" n=2 5n!

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Q: f the function. [(x, y) = x²y³ + x, t) = √√√x In r =tan xy (x, y) = x² = e²/(u + 11²)

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Q: Find the area of the region between the curves y = x and y = √x. Area between curves =

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Q: the solids generated by revolving the region bounded by the graphs of the equations about the given…

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Q: 2. Evaluate the following integral, or determine that it does not converge. 126 2e dr 1+ ²z

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Q: Determine whether the ordered pair is a solution of the system. 6) 5x-7y=-21; (7,8) 4x +9y=97

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Q: 1. Use calculus to find the exact absolute maximum and minimum values of f(x) = (x² + 2x - 3)2 on…

A: We have to find the solution

Q: Find the Taylor series for  f(x)  centered at the given value of a. [Assume that f has a power…

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Q: Write the given (total) area as an integral. * The area above the x-axis and below y = 4 - x^2 *…

A: 1)  consider y=4-x2  and y=0    Solve the above two equations   4-x2=0   4-x2=0   x2=4   x=±2Area…

Q: QUESTION 1 An urn contains 5 white balls and 6 red balls. A second urn contains 8 white balls and 4…

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Q: Change the polar equation 2r = 2 + cos 0.(2r - 1) to Cartesian equation

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Q: Find the indefinite integral. (Use c for the constant of integration.) [(48³1 + (4t³i + 14tj -…

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Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

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Q: Jc = − xj; P(−2, −4), Q(-2,-2)

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Q: Find T(t) and N(t) at the given point. π r(t) = 4 cos(t)i + 4 sin(t)j + tk; t = 2 T (7) 2 ㅠ N(₁) = [

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Q: (a) Estimate the area under the graph of f(x) = 3√√x from x = 0 to x = 4 using four approximating…

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Q: Applying the First Derivative Test In Exercises 29-36, (a) find the critical numbers of the function…

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Q: Evaluating a Definite Integral In Exercises 37-42, use the Fundamental Theorem of Calculus to…

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Q: 1 sin(x) and cot(x) = is a constant number. Recall that csc(x) = 3 cot(x) The ratio dx csc² (x) (Use…

A: Explanation of the answer is as follows

Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 ≤ t ≤ 1. [ (v - x) dx +…

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Q: Determine whether the sequence converges or diverges. If it converges, please compute the limit.…

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Q: Find the area of the region between the curves y = 12 - x² and y = x² – 6. Area between curves =

A: To find the area between the given curves

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

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Q: d Calculate =[rı(t) · r₂(t)] and [r₁(t) × r2(t)] first by differentiating dt the product directly…

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Q: 10. SHOW ALL WORK Verify the following identity:1 (1 - csc²0) (1 + tan²0 ) = tan² an evels to sty…

A: Given;  (1-csc2(theta)) (1+tan2(theta)) =tan2(theta).

Q: What is the gradient of a line that has an angle of inclination of 55°? Enter your answer, rounded…

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Q: а) 2х, -3х2 +5х3 -2Хм = 9 5X2 +X3 +3Х4 = 1 7Х3 - Ху = 3 2Х4 =8

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Q: 1. Use operator / elimination method to solve the given system dx dy + 2x + 2y+ 1 dt dt dx dy +2: dt…

A: Elimination method : In the elimination method, by using fundamental arithmetic procedures, we can…

Q: The plot below represents the function f(x) 9 on 7 10 M 6 a 3- 7 2- 1 -3-4-3 -1 Evaluate f(4) f(4)-…

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Q: 6. Without graphing the function on your calculator, find the limit. Use L'Hopital's Rule where…

A: Solution of the problem as follows

Q: 5. S COS X 2+3sinx dx

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