I. SOLVE THE following Linear D.E. Adx + xtany dy=sinaydy

Q: Find the surface area and the volume of each figure. Give the exact answers and the approximations…

A: Cylinder

Q: Assuming a constant interest rate of 8% per year, determine how much would you have to invest today…

A: Given query is to find the invested amount.

Q: Compute the average value of f(x) = √4x + 1 on the interval [0,2]. Average value =

A:

Q: Where did the 648 come from in part (a)?

A: Let's solve.

Q: A spherical balloon is inflating with helium at a rate of 144x min . How fast is the balloon's…

A:

Q: [Directional Derivatives] Calculate the following directional derivatives. w(x, y, z) = xy^2 / z^2…

A: Directional derivative of the function f(x,y,z) at (a,b,c) in the direction of (x,y,z) is given by,…

Q: (+/- 4√x²) dx 2x³

A:

Q: 21. What's the standard form equation of a parabola with directrix x= -10 and focus (10, 0)?

A:

Q: X^2-4*x-17/4=0

A: We have to find the values of x.

Q: 40. Toys Belkis is pulling a toy by exerting a force of 1.5 newtons on a string attached to the toy.…

A: Let a force F is applied to an object with an angle x° to the floor. Then horizontal component of…

Q: a B 2 α b Description of image (in case it has trouble loading): A right triangle has acute angles a…

A:

Q: Evaluate. 5 -1 -1 (4x²-3x+5) dx (4x²-3x+5) dx = (Type an exact answer in simplified form.) ***

A:

Q: Consider the following. f(x) = In(x − 3) - 1 (a) What is the domain of f? (Enter your answer using…

A: this is question of function  here function is given we have to find the range and domain of…

Q: Find the point on the graph of f(x)=√x that is closest to the point (9, 0). (x, y) =

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Q: Evaluate the integral. 16-T² IMEL /16-² 16- 1 √16¬x²−z² (x² + y² +22)¹/2 dy dz dz = [

A:

Q: Express the number as a ratio of integers. 1.580 = 1.580580580...

A: Given: Number is 1.580580580.....

Q: ← Find the future value P of the amount Po invested for time period t at interest rate k, compounded…

A:

Q: 8. Let A be an n x n matrix over a field K. Show that the mapping f defined by f(X,Y)= XT AY is a…

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Q: A poster consists of a printed area and margins (See image). The area of the entire poster is A =…

A:

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. lim 818 00 n…

A: Given series:- ∑n=1∞6n+17n+1

Q: Use the divergence theorem to calculate the flux of the vector field F(x, y, z) = 4xyi + 5yzj + 2x…

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Q: Determine the slope of the line through the points (8, 13) and (-2, 3).

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Q: Find the indefinite integral (for x > 0) on the domain of positive real numbers. Remember to include…

A: To evaluate the given indefinite integral.

Q: dn A flu is spreading at a rate of = 180t -3t2, where is the number of people dt affected at any…

A: We need to find n in terms of t and no of people after 2 days.

Q: Let f(x) = 4√√x+5x. Verify that f(x) satisfies the conditions of Mean Value Theorem on the interval…

A: Here is the solution:

Q: Approximate the area under the curve y = x² from x = with 4 subdivisions. 1 to x = 3 using a Right…

A:

Q: Find all the values of x such that the given series would converge. Answer: Note: Give your answer…

A: We have to find the interval for convergence.   According to our guidelines we can solve only one…

Q: Write an equation for the following conic section A parabola with focus at (-3,2), directrix x = 1

A:

Q: Find the points on the curve x = t² − 8t + 5, y = t² + 14t + 1 that have: A. a horizontal tangent…

A:

Q: Evaluate the function at the indicated values. (If an answer is undefined, enter UNDEFINED.) f(x) =…

A: We have to slove above questions

Q: 13. Determine lim (6x-x²). X→-5

A:

Q: 1+245 Se (x²+x+19) 1-245 2

A:

Q: Find the average value of the function f(x)=x²-7 on [0,6]. The average value of the function…

A:

Q: 1) Consider the functions ƒ(a) = 100 – 2¹ª and F(x) = f(t 1² f(t) dt. i. Write a simplified form of…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Which of the following conditions will make the equation equation of a sphere in xyz-space Oa>b>c…

A:

Q: 3. Find the volume of the parallelepiped determined by the vectors ū₁ = (1,1,1), ū₂ = (1,3,-4), z =…

A: We need to find volume.

Q: Find the exact value of each expression. (Enter your answers in radians.) sin (sin (3x)) 4 (a)…

A:

Q: A tank contains 500 m³ of solution with 12 kg of dissolved chloride. A water enters the tank at rate…

A: Let's find amount of salt in the tank after 5 minutes.

Q: 3. Create an infinite series by letting convergence for this series. n→∞ Find the interval of

A: We need to find radius and interval of convergence.

Q: A metal cube dissolves in acid such that an edge of the cube decreases by 0.80 ​mm/min. How fast is…

A: given data  edge of the cube decreases by dldt=-0.80 ​mm/min instantaneous length of edge (l)=8.90…

Q: Determine lim x--9 x²+14x+45 x+9

A:

Q: Let y = 4x². Find the change in y, Ay when x = 3 and Ax = 0.2 Find the differential dy when x = 3…

A: Given fx=4x2  We know that  ∆y=fx+∆x-fx Also, dy=f'xdx

Q: Let A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

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Q: u = 57 - 5] + k and 7 = 27 + 14k.

A:

Q: 2/Let A 70. Solve for x A(x − B) + C² = -7D -

A: To find the x.

Q: Using the binomial theorem to find the 4th term of √x + 2

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Q: hy is the derivative of -1/x^2 = 2x-3 and not -2x-3?

A: use the sign given in the function and differentiate it.

Q: If the common ratio is 0.6, what is the percent change?

A:

Q: 1 Find an equation of the line tangent to the graph of f(x)= a) at (1,1); b) at a) The equation of…

A: Equation

Q: Determine if the limit 7 x+1 lim x-0 x -7 exists, and if it does, find its value. 1. limit = 2.…

A: We can find the limit in the below steps.