Find the angle , in radians, in the given right triangle. The length of the side adjacent to is 19 and the length of the side opposite is 10. Ө Round your answer to the nearest hundredth. 0 Number 19 10

Q: find the derivative of the function. g(x) = f' t² sin tdt

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

Q: You are standing above the point (2,5) on the surface z = 30 - (2x² + 2y²). (a) In which direction…

A: z = = 30 — (2x² + 2y²).

Q: f(x) = eet

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Q: Find all solutions to the equation 2 sin (30) -√2 on the interval [0, 2π). If there are multiple…

A: We can start by isolating the sine term: 2sin(3θ) = -√2 sin(3θ) = -√2/2 Now we need to find the…

Q: Evaluate the triple integral. III y dV, where E = {(x, y, z) | 0 ≤ x ≤ 2,0 ≤ y ≤ x, x - y ≤ z<x+y}

A: ∫∫∫Eydv, Where E=x,y,z | 0≤x≤2, 0≤y≤x, x-y≤z≤x+y

Q: 25. (Singular Value Decomposition) Suppose A = UDVT 3where U and V are nxn matrices with the…

A: To show that A is invertible, we need to show that its determinant is nonzero: det(A) = det(UDV^T) =…

Q: it says the answer is wrong

A: The integral function along with the tabular data has been given.

Q: 11. [-/5.55 Points] DETAILS Find the future value if $9000 is invested for 10 years at 12%…

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Q: Find the area of the indicated region. We suggest you graph the curves to check whether one is above…

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Q: The weekly profit (in dollars) from the sale of two products is given by P(x, y) = 70x + 90y - x² -…

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Q: The distance an object falls (when released from rest, under the influence of Earth's gravity, and…

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Q: If an amount Po is invested in the Mandelbrot Bond Fund and interest is compounded continuously at…

A: Given that the interest is compounded continuously at 6.8% per year, the balance P grows at the rate…

Q: 1. Let f = {(1, 2), (3, 4), (2, 6), (5, 9}. a) Find the domain of f: {1, 2, 3, 4, 5} O {2, 4, 6, 9}…

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Q: Evaluate the definite integral 5π 3 5π 3 4 sin (x) dx = Number So using Part 1 of the Fundamental…

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Q: Find the value of f(7) when 7 1 cost - 2 sin 3 3 f'(t) = and f (1) (7) = 6. 2 3

A: f'(t)=73cos(13t)-2sin(23t)given  f(π2)=6

Q: Given xY^(harr ) and ZW^(harr ) intersect at point A. Which conjecture is always true about the…

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Q: An antique lamp was worth $185 in 1965 and increases at 15% per year, giving a value formula…

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Q: Determine if the point P(-4,- 13, 10) is on the plane [x, y, z]= [6, -7, 10] + s[1, 3, 1] + [2, -2,…

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Q: 67. (e4x + 1) dx

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Q: Express the given parametric equations of a line using bracket notation and also using i, j, k…

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Q: The graph of f is shown below. Evaluate each integral by interpreting it in terms of areas. 3 2 1.…

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Q: Use the Comparison Tests for Convergence or Divergence to determine whether the series converges or…

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Q: Compute the derivative of the following function 1. f(x) = e³x (ln(x² + 1))

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Q: For what values of a does the series A (В C D x = only 8 1 < x < 2 only 1 ≤ x ≤2 only n=0 (2x - 3)"…

A: The given series : ∑n=0∞2x-3nn!.We need to determine the values of x for which the series converges.

Q: X= 7 hind 0=1/40 Find the Glope of Given Polar by the the tangent line to the curve at the Point…

A: To find the slope of the tangent line to the polar curve r=7 sin θ at θ=π6. Note: Since, the student…

Q: 49. Find a > 0 such that the tangent line to the graph of f(x) = x²e¯x at x = a passes through the…

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Q: a. Use implicit differentiation to find the derivative b. Find the slope of the curve at the given…

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Q: 9) It takes 20 minutes for bacteria to grow from a population of 10,000 to 25,000. How long will it…

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Q: You are driving away from home. At noon, you are 218 miles away. Your velocity (miles per hour) away…

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Q: 21. Let f(x) = x² + x + 1. a. Show that f¹ exists (but do not attempt to find it). Hint: Show that f…

A: (22)  f(x)=x7+x+1we know d dx(xn)=nxn-1

Q: 00 n=0 n(x − 2)n

A: The given power series is:∑n=0∞ n(x-2)n

Q: Use the definite integral to find the area between the x-axis and f(x) over the indicated interval,…

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Q: QUESTION 8 The terminal point determined by t is O O b. O C. sin t = sin t = sin t = 7 3. 3 COS t =…

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Q: 29. f(x)= = ex+1 +x 2ex - 1

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Q: Find the тся value of the function f (x₁y) = x+2y subject to the constraint x² + y² = 3 using…

A: We want to maximize the function f(x,y) = x+2y subject to the constraint x² + y² = 3. Using Lagrange…

Q: Newton's Law of Cooling The temperature of a cup of coffee t min after it is poured is given by the…

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Q: -2x Find the volume of the solid generated by revolving the region R bounded by y=e , y=0, x=0 and x…

A: We have given a curve

Q: Find the volume bounded by the graph of f(x, y) = x² + y2, the rectangle [-1, 1] x [-3, -2], and the…

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Q: 9) Find fxyy for the following function хуу f(x, y) = 4x³y² - 3x²y² + 2x³y-ex²

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Q: Evaluate the definite integrals using the graph of f(x) below. 3 (0) [³ f (b) (c) f(x) dx = 5 [²1…

A: Given: Requirement of the question: a. ∫03f(x)dxb. ∫35f(x)dxc. ∫08f(x)dx

Q: Use Stokes' Theorem to evaluate fF.dr, where F = zzi+zyj + 3rzk and C is the boundary of the portion…

A: We have to evaluate the integral using Stokes theorem.

Q: Solve: 2 (4³) + 9 = 169

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Q: Find the volume of the largest right circular cylinder that can be inscribed in a sphere of radius…

A: We need to find the volume of the largest right circular cylinder that can be inscribed in a sphere…

Q: What is the remainder when x2 + 15 x+9 is divided by x+5? O-41 O 49 O 42

A: x2+15x+9

Q: 33. Let g be the inverse of f(x) = x³ + 2x + 4. Calculate g(7) [without finding a formula for g(x)],…

A: Let g be the inverse of fx=x3+2x+4.

Q: Consider the surface x = :4y² + 4z² — 287. - Find an equation of the tangent plane to the surface at…

A: x=4y2+4z2-287

Q: 16. f(x) = x²e²x

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Q: (2) Determine whether Mean Value Theorem can be applied to the function f(x) = x² on [2,4]. If the…

A: The function is fx=x2 and the interval is 2,4.

Q: In the first answer field, write out the derivative using the quotient rule without simplifying- In…

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Q: Write the sum 1 +2+3+4+5+6+7 +8 using sigma notation. The form of your answer will depend on your…

A: Given: sum 1+2+3+4+5+6+7+8 We are required to: Represent the sum using sigma notation.