If f(x, y) = x cos y + ye", find dydx

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A: The function is given as y=cot(x) The objective is to find the y-intercept.

Q: INTEGRAL Evaluate the following: e 20do 10. ↑ 1+ 3e20

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Q: 44. Write the complementary function for the given DE.

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Graph of a function Using the graph find the following: (6.5) a, lim f(x) e. lim f(x) 4 (4.2) f. lim...

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Q: Instruction: Solve the following indefinite integrals. Show complete solutions.

A: Question no. 11,Given,            ∫xsec1+x2dx

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A: We are asked to  find the inverse of the function.

Q: Determine the general antiderivative below. (Use a capital C as the integration constant.) (x+3)/x-1...

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Q: [ Зх +1 x – 3 A 3x + log (x- 3) 3x + 10log (x- 3) в Зх + log. (x- 3) +с 3x + 10log (x – 3) + c

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Q: Use the second fundamental theorem of calculus along with the chain rule to find d sint dt dx 1 o si...

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Q: -x' + 2 Find the slope of the secant line between x = -3 and x = 3 for the function f(x) = (Enter yo...

A: Given that a function f(x)= (-x3+2)/(2x-2). And we find secant slope of line between x=-3 and x=3 fo...

Q: Given the data table Years U.S. Population (millions) after 2000 1 285.5 295.5 8. 303 10 0. Use the ...

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Q: Study the figure below and give the value of x and y^, If the least squares equation is y= 18.9476+1...

A: Given query is to find the value of x and y^ from the graph.

Q: 4. The height h (in metres) of a certain section of a roller coaster is modelled by the equation h(x...

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Q: А. О- бу+1) dy y-3 (у?- 6у+1) dy

A: As per our guidelines we are supposed to answer only one question i.e. the question no (A). For the ...

Q: A raindrop falls with acceleration 9.8 m/sec² , where "v" is its velocity. What is the raindrop's ve...

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Q: -x? + 5x + 14 Evaluate lim x--2 -5x2 – 2x + 16 Submit an exact answer. Provide your answer below:

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Q: For the next three questions, consider the differential equation: y" – 2y' + y = e* arctan r

A: Particular Integral

Q: x'e-2x dx 20 dx 2

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Q: Evaluate the following definite integrals, t(1 -t)² dt = а.

A: Solution: ∫-11t(1-t)2dt Expand=∫-11t-2t2+t3dt

Q: Use implicit differentiation to find the derivative y' of the following: y²+2ye2x у?е2x + хуз — 1%3D...

A: Given :6. y2e2x+xy3-1=07. xey+3y-10x=0To find: Implicit differentiation to the derivative y'.  

Q: Graph of a function Using the graph find the following: (6.5) e. lim f(x) f. lim f(x) a. lim f(x) 6 ...

A: Graph of the function is given, we have to its limits at the given points.

Q: Consider the region R bounded between y=x2-4x and y=-x2+2x  Set up an integral for the area of the r...

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Q: Find the Taylor polynomials of orders n = 0,1,2,3, and 4 about x = x0, and then find the nth Taylor ...

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Q: You are inflating a spherical balloon at the rate of 7 cm³/sec. How fast is it radius increasing whe...

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Q: EVALUATE INTERMS OF GAMMA FUNCTION.

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Q: A balloon is rising vertically above a level, straight road at a constant rate of 4 ft/sec. Just whe...

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Q: Find the slope, TL and NL of the function y= 2x2 +2x at the point x=1/2. Graph the function, TL, and...

A: We have to find equation of tangent line and normal line

Q: 1. Given that r(t) = t²i+tj + 2k. Sketch the curve with the given vector equation. Indicate with an ...

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Q: 1.84 We call pa cluster point of E, provided that for all e > 0 there exists e e E such that 0 0 th...

A: We have to show E has no finite sub cover. 

Q: x y e**y + y² e* v´ +1) dæ + (a? e* v + 2 x y e* v° – 2 y) dy = 0

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Q: Let z = 6exv , find dz %3D

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Q: A population of protozoa develops with a constant relative growth rate of 0.7943 per member per day....

A: A population of protozoa develops with a constant relative growth rate of `0.7943` per member per da...

Q: e) 1 Σ Vn n=1 3 f) 5 3 п-1 п 8 W

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Q: The following graph shows the rate of change n(t) of the number of active eBay users, in millions of...

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Q: If f(x,y,z) = z In(x²ycosz): then fz is

A: Here, the given function is: f(x,y,z)=z ln(x2ycos z) Using the properties of the natural logarithm: ...

Q: S(x+)* dx- X.

A: Given: I=∫x+1x2dx   We know that; The Power rule: ∫ax+bndx=ax+bn+1n+1+C ; n≠-1 And The sum/differenc...

Q: For each specified discontinuity, sketch the graph of a possible function f(x) that illustrates the ...

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Q: 47. Let the assumed particular solution for the given DE be yp = (Ar + Bx² + Cx)e + E. What is the v...

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Q: For the next three questions, consider the differential equation: y" – 2y' + y = e* arctan r

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Q: Find the smallest integer a such that the Intermediate Value Theorem guarantees that f(x) has a zero...

A: Given f(x)= -x2+6x-8

Q: What is the particular solution to the differential equation x(x³ – xy² + 2y³)dy – y(x³ + 2y³)dx = 0...

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Q: c. Let P(x, y) = y² + sin¬1 x² and Q(x, y) = 2xy + 4x. Suppose that C is the parallelogram with vert...

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Q: Using the graph find the following: (6.5) a. lim f(x) e. lim f(x) X-4 (4.2) f. lim f(x) (2). (6.2) b...

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Q: A cylindrical steel storage tank is 15 feet tall and 6 feet in diameter. Calculate the change in vol...

A: Note: As there are two different questions in the picture we will solve the first question by defaul...

Q: .3 dx

A: Definite and indefinite integral 

Q: Instruction: Solve the following indefinite integrals. Show complete solutions. 14. | csc(1 + sin? x...

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Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

A: Let's find. 

Q: he differential equation (8 – r²)dr = %3D r² (1n (;) – = 0 cos cos = 0 (r+ 4) (in (;) –

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: 34. Give linearly independent functions that are annihilated by D°(D – 2)(D+3).

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