Find 4 Σ (-()) i=2 First write out the summation: Find the answer:

Q: Find all pertinent information and sketch the graph of f(x) = x²-2x x²-4 Find all asymptotes: HA:…

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Q: Evaluate the definite integral by the limit definition. [₁x -4 x dx

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Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 2…

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Q: 4. Carry was given a 200-peso gift card for her birthday. She plans to use it to buy new ball pens…

A: Let the number of pens she bought =x

Q: Consider the graph of a rational function f that is shown below. -5 4 -3 -2 Preview Preview Preview…

A: Part a. Observe from the graph that the function f approaches -∞ as x approaches the point -2 from…

Q: E. DE with Linear Coefficients (x+2y-1)dx - (2x + 4y + 1)dy = 0

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Q: D and E

A: Note: Since the student has mentioned to solve only parts (d) and (e), so we are solving this…

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Q: Given: (2x³ — x − 1) ÷ (x − 1) = 2x² + 2x +1 - Therefore: (2x² + 2x + 1) ÷ (X − 1) = 2x³ O True O…

A: The statement is false .

Q: 7 Newton's laws of cooling proposes that the rate of change of temperature is proportional to the…

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Q: Find the slope of the tangent line to the polar curve r = 2 sin(36) at the point corresponding to =…

A: NOTE: Refresh your page if you can't see any equations. . substitute the given angel

Q: Suppose f(x) is continuous on [2,7] and -5 ≤ f'(x) ≤ 2 for all in (2,7). Use the Mean Value Theorem…

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Q: Evaluate the gradient of f(x, y, z) = log(x² + y² + z²) at (1, 0, 1).

A: To evaluate the gradient of fx, y, z=logx2+y2+z2 at 1, 0, 1.

Q: Evaluate 1 Lo Toz xe dy da X=0

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Q: Evaluate the definite integral by the limit definition. Lxdx

A: evaluate the definite integration by limit definition

Q: A graphing calculator is recommended. The displacement (in centimeters) of a particle s moving back…

A: NOTE: Refresh your page if you can't see any equations. . the given position function is

Q: verify that f(x)=e-x satisfies the conditions of the mean-value theorem on the interval [0,2] Then,…

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Q: Consider the function f(x) 1. f(1) = x+1 y- Determine each of the following. Give your number as a…

A: Given query is to find the equation of the tangent.

Q: Let f(x) = x¹/3(6x + 7)2/3. Find f'(x) and the critical numbers for f. f'(x) A = 18 B = 7 C = 2/3 D…

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Q: Find lim f(x) and lim f(x) for the given function and value of c. X→c* X→C |x + 4 X+4 f(x) = (x +…

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. 4 1₁2 x ²6² -2 x²(x³ +…

A: Concept: Applying integration rules ∫xndx=xn+1n+1+C

Q: Find the limit of the rational function (a) as x→∞o and (b) as x→→∞. 6x³ +9 x³x²+x+3 f(x)=

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Q: x²-2x Find all pertinent information and sketch the graph of f(x) = x²-4 Find all asymptotes: HA:…

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Q: Given the vector-valued functions u(t)= esti+e-¹ + 2tk v(t) = 2ti - 3t² + 3k d find (u(t) v(t)) when…

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Q: Use Fubini's Theorem to evaluate the double integral ſf f(x, y) d.A, where f(x, y) = 2x − 4xy² – 8y…

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Q: Solve the following logarithmic equation. Be sure to reject any value of x that is not in the domain…

A: Given query is to find the solution of the expression.

Q: k=0 4(-2) is an alternating geometric series, which diverges. converges Σ 4( - 2)² k=0 Enter DNE for…

A: ∑k=0∞ 4-2k

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: NOTE: Refresh your page if you can't see any equations. . the revenue and cost functions are

Q: Evaluate the definite integral. 7 1 √₁² 36 + (x + 5)² dx

A: Here, we have given a definite integral and be have to find its value so we will find it by using…

Q: 6:33 A particle moves along the x-axis so that its velocity at time 0 < t < 18 is given by v(t),…

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Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

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Q: (d) lim x-0 1-3 cos x x²-2

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Q: Question A rectangular storage container is to have a volume of 700 ft³. The bottom will cost $5 per…

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Q: Soft ty √x³+1 dx dy 3

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Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

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Q: Consider the function f(x) = 6√x + 6 on the interval [3, 8]. Find the average or mean slope of the…

A: Given query is to apply mean value theorem.

Q: Sketch the graph of f and use your sket separated list. If an answer does not exist, enter DNE.)…

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Q: Find the geometric series or state that it diverges for n=0,infinity        e^-6n

A: We have to write  in geometric series and we have to give state for divergence

Q: -uppose y = anx on an open interval I that contains the origin. Express the n=0 ollowing as a…

A: We have to find out

Q: Find the simpler function for the function f(x)= 9x-36/3x^2-6x-24

A: To simplify the given function.

Q: What is the range of the function f(x) = = x + b -, a, b = R and a, b =0? xa

A: range of fx=x+bx-a

Q: Differentiate f(x)= In(sin^2 x). f'(x)=? Please answer ASAP and write neatly thank you.

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Q: Consider the following. 7x8+y³ = 5x (a) Find y' by implicit differentiation. y' = (b) Solve the…

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Q: x3 Find the absolute maximum and absolute minimum of the function f(x) = 3 Provide your answer…

A: The given function is  f(x)=x33-7x22+10x-6,       0, 4

Q: Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the…

A: Use logarithmic properties.

Q: If a rock is dropped from a height of 164 ft, its poistion t seconds after it is dropped until hits…

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Q: Determine the value of (gof)(-1) when x+3 f(x) g(x) = x² - 1. T

A: Topic = Functions

Q: Complete the table shown to the right for the population growth model for a certain country. k=…

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Q: Use the information to find and compare Ay and dy. (Round your answers to four decimal places y = x4…

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

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