√√53-25² +5 ds

Q: a. f(x) = (x² − 9) =

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Q.9: Classify and find the standard equation of the conic section 4x² +9y² + 36y-16x + 16 = 0, then…

A: Given

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Q: A particle moves along the path whose parametric equation are x = t³ and y = 12t2. What is the…

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Q: d) Find s' (t) for the function. s(t) = 3t² + 5et

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Q: This question is designed to be answered without a calculator. Let f be a function such that lim…

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Q: 5. y" + 8y + 16y = 0

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Q: 3 Find x=x-12 lim. x-7-3 x2+ 8x+15)

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Q: Find all critical points of the function f(x) = x³ − ²/1x² − 54x + 10. (Use symbolic notation and…

A: answer is in next step

Q: he point  P(8, −3)  lies on the curve  y = 3/(7 − x). (a) If Q is the point  (x, 3/(7 − x)),  use…

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Q: If A = 3ai +4j-k and B=4i+j-3k, find the value of a if A normal to B.

A: Given A→=3ai^+4j^-k^  and B→=4i^+j^-3k^

Q: 2t³ = A particle moves along a straight line and its position at time t is given by s(t) s is…

A:

Q: 10.) Solve. Write the exact solution in terms of logarithms. el-3x = 4

A: This question can be solved using the concept of natural logarithm.

Q: (-2, 39) 4 10 10 20 10 10 -20 30 40 1 (14) (27) 3 B. Locate and classify the critical point of y =…

A: The equation of the curve is given by , y=23x3-2x2-6x+2Now, We will apply the second derivative test…

Q: f(x)=xe*, a =0

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 3. A particle moving along the x-axis has velocity function v(t) = t²e-t. How far does the particle…

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Q: 83 −1+1/²/(₁-¹² + e²) Option 2 1-1/2 (e-² + e¹²) Option 4 -1-1/17 (₁²¹ + e²) Option 1 1 + 1/² (e + +…

A: We have to find the inverse Laplace transform of 1s3-s. At first we find the partial fraction of the…

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Q: 1. Consider the differential equation y" - ry - y = 0 a) Determine two linearly independent power…

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Q: Find the Taylor series for about f(x) = x³ + x² + x + 1 a = 1

A: As we know the Taylor series; fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+.... Where center at x=a.…

Q: 2. y = 1 (tanh~' 2x)3

A:

Q: If the population of a city is 155,000. If the population declines continuously by 5% per year, what…

A: Question-   If the population of a city is 155,000. If the population declines continuously by 5%…

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Q: 12 Two towers AB and PQ stand on level ground. The angles of elevation of the top of the taller…

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Q: Əw at = xysin(z2), x= s-t, y=s2, z t². Use the Chain Rule to find .

A: We know that derivatives of d(xn)/dx = nxn-1. And d(sinx)/dx = cosx  Here i attached the solution of…

Q: 1 s¯¹(x) 2 cos √1-x² -dx

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Q: Evaluate lim zo the limit sin 7x sin 2x

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Q: 7. Find the limit as x approaches 0. F V I 2 2 O infinity O limit does not exist Oo .

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Q: A company manufactures two products. The price function for product A is p = 20-x (for 0 ≤ x ≤ 40),…

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Q: (a) Using the power series representation of 1 1 + x find a power series representation of In(1 + x)

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Q: Solve the differential equation y"" + y = 3x² + sin x - 2 cos x

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Q: √ and g(x)= )=x² Let R be the region in the first quadrant bounded by the x-axis and the curves f(x)…

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Q: 3. Suppose a function H(t) is given and that this function describes the height H of a projectile t…

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Q: If A = 3ai +4j-k and B = 4i+j-3k, find the value of a if A normal to B.

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Q: Find the approximate integral of 4 1 * -dx In x 2 when n=10 using a) the Trapezoidal Rule, b) the…

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Q: 3. Use the limit definition of the derivative to find the derivative of the function. a) f(x) = 2x²…

A: Given query is to find the derivative using definitely.

Q: 1) Find the area, in square units, bounded above by f(x)=6x² −9x−6 and below by g(x)=7x² −5x−3.

A: Here we have to find the atea Bounded by graph.

Q: Given R(t)=4 cos ti + (1+3cost)j +5sintk. Find T'(t).

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Q: 16+29

A: Given :16+29

Q: Find The Inverse Laplace

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Q: Choose one(1) from the following question to be answer. The graph of each rule must reflect on your…

A: The Trapezoidal Rule: The Trapezoidal Rule divides the whole area into smaller trapezoids rather…

Q: 16. Evaluate cos(sin¯¹-1) O 0 O ㅠ O 1 O -1

A: Value of Sin(-π/2) is -1

Q: [CLO-3] The second derivative f"(x) of a function is given. Use this information to find all values…

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Q: Using u-substitution, find the length of the arc of the function x^2 = 4y from x = -3 to x = 3. Show…

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Q: Particular solution of y" - 5y'=x-2, when x = 0, y = 0, y = 2

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Q: cos 2t cos 5t 8 S³ + 29 (s² +49) (s² + 9) Option 3 S S s² + 49 s² +9 Option 2 O None of the Choices…

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Q: You made a mistake in the calculation. The final answer is 31,972.5. But thanks for the process.

A: Silly mistake in calculation, we provide correct calculations

Q: Please don't post this question on google 10 Given the polar equation r = 5-2 sin 8 a. find the…

A: Note:- As per your reqiest i am solving part b) only. From given sub parts of it.

Q: 1) lim x + 5 X 1.5 2 2.5 2.75 2.99 F(x) X 4.5 4 3.5 3.1 3.01 F(x)

A: