For the differential equation: = sin(z)y, what is the slope at (0,2)? 02 04 O 1 0

Q: In three-space, find the intersection point of the two lines: [x, y, z] = [-2, 3, −3] + t[1, x = 3-t…

A: We have given that Two lines  [x, y, z] =[-2,3,-3]+t[1,-1, 2]  ----(1) and   x=3-t y=-5+ 2t…

Q: 4x² +28x + 25 (x + 7)(x + 2)² 1 x+7 B (x + 2) 3 (x + 2)²

A: NOTE: Refresh your page if you can't see any equations. . use the partial fraction…

Q: 75 Compute the definite integral cos³ (2x) sin² (2x)dx . 4 30 2 15 1 15 6 775 10

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Q: d'y dr² dy - 2x +2y=x²³, dx

A: compare this equation with  so here we have write the auxiliary equation for the homogeneous…

Q: olve the problem. Suppose that g is continuous and that g(x) dx. A) 6 B) 26 -26 g(x) dx-10 and Lås…

A: g(x) = is contionus function

Q: Let g be the real-valued function defined by g(x)= Find the solution to the equation = This equation…

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Q: Suppose f is a differentiable function of x and y, and the following applies. p(t) = f(g(t), h(t))…

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Q: Use the Chain Rule to find az/as and az/at. дz əs əz at || || z = tan(u/v), u = 8s + 2t, v = 2s - 8t

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Q: 8) Find the inverse of the following matrix A. Show your work. Check your work. . i.e. AA-1 =1 1 2 2…

A: This Is question of algebra Here matrix is given  We have to find inverse of matrix  Further…

Q: represents a vector going 5 km/h N20°E. What is a. 5 km/h S20°E b. 1 km/h S20°W A ? 1 km/h W20°S d.…

A: A→ represents a vector going 5km/h N20°E

Q: Determine the following limit: 2e 2x Him (2²-2-2) x-0

A: limx→02ex-2x-25x2

Q: -10 x f(x) 10 10 Use interval notation to determine where f(x) ≤ 0. (0,1) 10 Use interval notation…

A: A graph is given and we need to find out the intervals.

Q: What is fxe- dx ? -x Oxe xee+C Ox²e-2x 2 + C X -xe-* — e * +C x² e-x 2 + C

A: Consider,

Q: Evaluate the integral. (Use C for the constant of integration.) [si sin³(y) cos(y) dy

A: NOTE: Refresh your page if you can't see any equations. . use the formula:  sin2x=1-cos2x

Q: 1. let y = x(x2+x)2  , Find y'   2. let f(x) = (5x)5 find f '(x)…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Simplify the expression (3a¹b³c²)² (2a²b²c³) ³

A: This is question of algebra  Here simply expression is given  We have to convert it in simple form…

Q: 1 Is the function given by g(x) = - X+5 continuous over the interval (-3,3)? Why or why not? Select…

A: g(x)= 1/(x+5) We have to find g(x) is continuous or not in (-3,3)

Q: The cost of sending a large envelope via first-class mail is $0.76 for the first ounce and $0.18 for…

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Q: 5-46 Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: The monthly payment is = 52 Use the monthly payment formula to answer the question. Round your…

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Q: Find all the first and second order partial derivatives of f(x, y) = −8 sin(2x + y) + 9 cos(x − y).…

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Q: 6. Are the following expressions meaningful? Answer yes or no next to it. a. axb.c b. a. bxc I c. dx…

A: Given that  a→×b→.c→a→.b→×c→d×a→To determine the expressions are meaningful or not

Q: (a) Let R > 5 and let CR be the closed, anticlockwise contour obtained by joining the line segment…

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Q: Determine whether the following sequence is convergent or divergent. If it is convergent, evaluate…

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

A: Given that a a functio f(x, y) = x2 +xy + y2 +2y. And we find local maximum value and local minimum…

Q: Find the linear approximation of the f(x, y) = Answer: f(x, y) ~ X x + y at the point (1,6).

A: To find the linear approximation of the function f(x, y) = x/(x + y) at the point (1, 6), we need to…

Q: Find the area of the surface generated by revolving the curve about the indicated axis. y = x²,0 ≤ x…

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Q: Use the equation to find dy dx dy dx || | OF дх OF ду || | ㅠㅠ X 3ey sin(x) = x + xy

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Q: Find the slope of the curve ab²e-b²=5a-16 at the point (a,b) = (0,4) da ㅇ1 11 렇 O None of the above

A: ab2eab-b2=5a-16

Q: h(x): x² - 7x + 10 x-5 a x 5 x=5 8. Let for some constant a. If h is continuous for all real…

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Q: 38. f(x) ex 1 + ex

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Q: 1 cotx ln sinx|dx x In [ x Ja 2 1 2

A: To find, ∫ cotx2lnsinx2dx Let I=∫ cotx2lnsinx2dx We know that cot(x2) = cos(x2)sin(x2). Therefore…

Q: Q6 Use the graphs below to fill in blank. Write DNE" for Does Not Exist" or NEI" for Not Enough…

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Q: f(x) = x + 1 X

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Q: Making this substitution using [₁ gives us 10 sin²(x) cos³(x) dx 10 10 sin²(x) (1 - sin²(x)) cos(x)…

A: To evaluate the following integral. ∫10 sin2x cos3x dx Note: After seeing the previous solution, we…

Q: 5. Consider the following vectors in 3D: (1,2,3) & (-4,0,1). Determine a vector that is orthogonal…

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Q: Evaluate the integral. If the integral converges, determine the number it converges to. If the…

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Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the…

A: f(x)=-9x2.

Q: Find the future value if $15,000 is invested for 7 years at 10% compounded continuously. If needed,…

A: Find the future value if $15,000 is invested for 7 years at 10% compounded continuously. If needed,…

Q: For an object whose velocity is given by v(t) = - +4, what is its displacement on the interval t = 0…

A: Given that valocity v(t) = - t2 +4. And interval is t=0 to t=3. We find displacement on this…

Q: Find the critical points in the domain of the function f(x) = 9x³ – 8x. Enter the exact answers in…

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Q: forin the egral. ayus 4. Perform the line integral for 0 ≤ t ≤ 1. where the cur is the straight me…

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Q: Find the first three terms of the Taylor series in x - a. ex. a=3

A: Given that a function f(x) = ex and a=3. We find first three terms of taylor series.

Q: ₁²√3x²2dx, u = 3x² - 2 du

A: Use the u-subsituation

Q: Q2.2 The amount of a sample of a radioactive substance remaining after t years is given to be a…

A: The Amount of a sample of a radioactive substance remaining after t years is given  to be a function…

Q: which value (s) {5,7,9,11,13}make the inequailty w-4<8 true?

A: The inequality is given and we need to solve it.

Q: (b) (i) Show that d dx\x+1 x 1 (1 + x)²

A: According to bartleby guidelines we supposed to do the first one of multiple questions  kindly…

Q: The owner of a skating rink rents the rink for parties at $1000 if 50 or fewer skaters attend, so…

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Q: 9. The region R enclosed by the curves y = √√x and y = x² is rotated about the x-axis. Find the…

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Q: Consider a right triangle with a side of length opposite angle A, a side of length y opposite angle…

A: Given: Consider a right triangle with a side of length x opposite angle A, a sideof length y…