Create a table of value (use 8 values- 4 on the left and 4 on the right) and a calculator to the estimate the limit if it exist. Round off all values to 4 decimals places. ✓lim √10-x-4 21-6 X+6

Q: Solve the general solution of the equations in items 3-4. 2 (2x² + y²) dx - xydy = 0 C Oy-1=x-3+C…

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Q: Find the derivative of the trigonometric function. y = cos((?x)8)

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Q: Solve the following matrix equation for a, b, c, and d. b b + c 2 [ad - [10²] = 3d + c 2a - 4d 11 6…

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Q: (B) Use Tabular integration to evaluate the following: - f(t³ - 4t² + 5t + 32)sin(t)dt

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Q: For each of the questions below, indicate if the statement is true (T) or false (F). (a) Any…

A: answer  is next step . as per guideline i can only answer 3 question .

Q: 7. f(x, y) = √x² + y²

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the surface area generated by revolving the curve x=y³²-y about the y-axis for 1≤ys 3/2 1/2 3

A: Solve the following

Q: 4. · [ (8x − 3) (4x² – 3x) ³ dx x J dx √1-4x² x ·S dx 3 - 5x² 5. 6.

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Q: Solve the given by simple substitution (2x + y)² dx - 2dy = 0

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Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² +5t+32) sin(t)dt

A: Using tabular method, given integration is evaluated.

Q: (B): Find the integration by using substitution method √x√2x-1 dx

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Q: C. Find the volume of the solid generated by revolving the area bounded by the given curves about…

A: Using shell method, volume is evaluated.

Q: Let f(x) = 8x²(x-2) + 15. Find the critical points c that correspond to local minima. (Use symbolic…

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Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² + 5t+ 32)sin(t)dt

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Q: Find the derivative of the function. y = -2e - 5x²

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Q: Q1: If the function f(x) define as f: R→ R such that f(x)= (x+1, x> 2 x²-1, x≤2 Show that the…

A: To show that function f is differentiable at point x=2

Q: 4. f(x, y) = 5xy - 7x² - y² + 3x − 6y + 2 5. f(x, y) = (xy − 1)² 6. f(x, y) = (2x - 3y)³

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Q: Find the derivative of y = V.

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Q: Question 6 (a) Use the Maclaurin series, In(1 + x) = x -+-+-=-1(-1) ¹+¹ ² 1+2 to derive the series…

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Q: Q3/ solve the differential equation below: 1. 2-3x+2y=0 (Complementary Function) k

A: The given differential equation,       d2ydx2-3dydx+2y=0

Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary integer…

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Q: Let f(x,y) = 8x - 2y + 5. Find the following values of f(x,y) for the given coordinates. (a) f(2,…

A: Let's find value of given function.

Q: Let g(x) be the inverse function to the differentiable function f(x). If f(0) = 1 and f'(0) = 8,…

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Q: 5. (a) Use Newton's binomial theorem to calculate √50 with 4 terms.

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Q: Q3 find 1)angle between two vector. 2)projection of vector A&B. A = 2i + 2j - K B = 4i-6j + 4k

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Q: Find the coordinates of the vertices of the polygon after the indicated translation to a new…

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Q: Applications

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Q: Find the nth Taylor polynomial for the function, centered at c. 1 f(x) n = 4, c = 2 +2² P4(x) = = =

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Q: S x² √x²+4 dx

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Q: Q2: dy du (A) Show that if y=csc(u), then -csc(u) cot(u) dx dx

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Q: n. 3' 11. In each of the following, express the required series in summation notation.' (b) Find the…

A: Let's find taylor series of given  function  f(x) = sin(2x) at x = pi/6.

Q: Let f(x,y) = 8x - 2y + 5. Find the following values of f(x,y) for the given coordinates. (a) f(2,…

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Q: problem: A rectangle has a perimeter of 120 meters. What dimensions yield a maximum area? Let the…

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Q: PLEASE ANSWER:  Find the number in the interval [−1, 1] such that the sum of the number and its…

A: To find the number in the interval [-1,1] satisfying the given conditions.

Q: 2. If Ac B then BCA.

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Q: The function (f) is defined by: F(x)=x² if xe[-^;^] (i) Give the graphical representation of the…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Suppose that 5 J of work is needed to stretch a spring from its natural length of 24 cm to a length…

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Q: Given the number or numbers where the function is discontinuous. Is the discontinuity removable?…

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Q: Using the matrices -2 -3 0 D = 1 0 2 1 2 1 compute the following. tr(2E¹-D) = -3 -4 -1 E = tr(2ET -…

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Q: 10e²x When x = 0, y = 0, y' = 0 9. (D2+1)y= Ans: y=-2 cos x-4 sin x + 2e2x

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: Solution

Q: Your are driving away from Tulsa. Your distance (in miles) away from Tulsa x hours after 12:00 noon…

A: Given problem:- Your are driving away from Tulsa. Your distance (in miles) away from Tulsa x hours…

Q: 10. f(x, y) = x/(x² + y²)

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Q: Compute the following limits, if possible. You may use L'Hospital's (Bernoulli's) rule if it…

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Q: Claude has a piece of cheese in the shape of a cone. He uses a straight cut to slice off a smaller…

A: After cutting a cone at different angles, we get different shapes.The surface or outline of the…

Q: (1+x)(1+ry Q14) 2x (1+x) dx - A) +C B 11 10 11 10 Q15) f f(x)=x+cosx, xe [0, ], then the function…

A: Note:- As per your demand we solve question 14 and 15 for you  Given problems:-

Q: dy (A) Show that if y=csc(u), then =-csc(u) cot(u) dx

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Q: (3x²-3x-4) 2x²-3

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Q: Explain why the function f(x)=3x+2/x²+5x+3 has no vertical asymptotes.create a rational function so…

A: Given function has vertical asymptote

Q: Find the equation of a circle whose center is at the intersection between the lines 3x - y = 2 and…

A: The standard form of the equation of a circle is x-h2+y-k2=r2 where (h, k) is the center of the…