Find the derivative of h(t) = t cost + sint

Q: xy dx - (x² + 3y²) dy = 0.

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Q: The graphs of y = f(x) (solid) and y = g(z) (dashed) are shown. The two graphs intersect at (12,…

A: Given:    The graph of y=fx and y=gx are given with the intersection point 12,20 To find the values…

Q: Find the derivative of f’(x)= 6 √X - 1/X^3 And f’(x)= -6 √X - 1/X^3 •One has a negative 6 and one…

A: The given function are  f'(x)= 6√x -1/x3  and f'(x)= -6√x -1/x3  We have to find the derivatives of…

Q: Problem 2: a. Find the differential equation by eliminating the arbitrary constants of the family of…

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Q: (1 For what value(s) of t does the equality hold true? t = (If there are more than one value,…

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Q: 2. Evaluate the following and give the exact value: •TC/2r cos y TC-Y π/6 0 y sin (y tz) dz dx dy

A: Topic = Integration

Q: Problem 1: Using differentials, approximate the change in length of the space diagonal of a…

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Q: DO

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Q: * Evaluate (if possible) the six trigonometric functions of the real number. (If not possible, enter…

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Q: Find the arc length parameter along the curve from the point where t = 0 by |v(T)|dt. Then find the…

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Q: Find the general solution of 3 y" = 6x³ y' (6) = 2 y (0) = 1 TUNISINI + *292/

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Q: Set up the definite integral required to find the area of the region between the graph of y = 15 -…

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Q: Consider the function y = f(x) = x² + 15x + 56 and the x-value xo 5 (a) Find a formula for the slope…

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Q: 1) (e4x + 2xy²)dx + (cos y + 2x²y)dy = 0

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Q: WWW 45. Convert the polar point (4, 5) to a Cartesian point. A. (-) B. (-) C. (2√3, 2) D. (-2,2√3)…

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Q: HOMOGENEOUS

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Q: Use the given conditions to write an equation for the line in point-slope form and in…

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Q: Find the average rate of change of the function from x1 to x2. function…

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Q: Find the average rate of change of the function ƒ (x) = x³ + 1 on the interval [-1,3]

A: The function is given by fx = x3+1 To evaluate: The average rate of change of the function fx on the…

Q: Determine the point of intersection of the following two lines. L₁ x=-2 + 18s, y = 4+8s, z = −1+11s…

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Q: 6) Find all the zeros of f(x)=x²-3x²+4x-2 and write f(x) in factored form

A: Given query is to find the zeros and write in factored form.

Q: 24. 1 1 S² V 7 x3 dx

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Q: (2.) 123m33 4-3 2

A: Using laws of indices, this can be simplified.

Q: 7. f(x)= = x² cos²x sinx

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Q: 7. If lim f(x) = lim g(x) = 0, does lim exist always, sometimes, or never? Is x = a a VA of h(x) =…

A: How to find the limit exist or not.

Q: Solve for the determinant of the following matrix: 392 -2 8 5 02000 1-6 0-3 3 4 02 -8 5 00 3 1

A: Determinant of upper triangular matrix is product of the diagonal entries of the matrix. So here we…

Q: Lyka ranked 20th (that is, top 20) in a graduating class of 400. Lyka's percentile rank is____%…

A: Here is the solution:

Q: 23. Determine the particular solution of the following differential equation: y'= 2yx. Where:…

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Q: The graphs of y = f(z) (solid) and y = g(z) (dashed) are shown. The two graphs intersect at (7, 10)…

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Q: Let  Let g(x)= ∫x0 f(t)dt  (a) Evaluate g(x) for x

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Q: 1. Use the graph of f(x) to find each of the following. a. lim f(x) = x-0 b. lim f(x): X→4- C. lim_…

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Q: 6. g(x) = sec (3x²)

A: We can solve it by chain rule dy/dx = dy/du * du/dx

Q: Consider three arbitrary vectors u, v, w E R³. Using the definitions of the cross and dot products,…

A: We need to prove  u.(v x w) = w.(u x v) = v.(w x u)

Q: A ball is thrown into the air with a velocity of 33 ft/s. Its height, in feet, after t seconds is…

A: A ball is thrown into the air with a velocity of 33 ft/s. Its height, in feet, after t seconds is…

Q: Use the Vertical Line Test to determine whether the graph represents y as a function of x.   Yes,…

A: NOTE: Refresh your page if you can't see any equations. . if a vertical line intersects the graph…

Q: (5) Discuss but do not submit. Let f(x) be the surface area obtained by rotating y = = 1/t³, te [1,…

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Q: 1-(SXOM) 2

A: Find the value of (w^0x^5)^-1

Q: 15. Determine the particular solution of the following differential equation: y'=(2x+3)(y2-4) Where:…

A: Topic = Differential equation

Q: 3. A semi-sphere tank of radius 7 m is full of water. How much work is needed to pump all of the…

A: Water tank radius= 7m  Water density = 1000km/m3  Find the work required to pump out the water .

Q: Find the differential equation by eliminating the arbitrary constants of the family of curves y = Cy…

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Q: 1 + 1 = 3 if and only if 2 + 2 = 3. True or false? If 1 < 0, then 3 = 4. True or false?

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Q: Consider the region in the first quadrant bounded by the graph of y = An integral that can be used…

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Q: Let f be a differentiable function such that f (3) = 4 and f' (3) = 5. If g(x) = x² f (x), what is…

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Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the…

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Q: 32. Determine the particular solution of the following differential equatior y'=y²-e³xy² Where: x=0;…

A: Topic = Differential Equation

Q: Using differentials, solve for the approximate change in the hypotenuse of a right triangle if the…

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Q: Find the area of the triangle with vertices: Q(-1,5,5), R(-2,8,7), S(-3,2,8).

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Q: determine whether the following function y=c₁x +₂¹³ +21²²-2re* is a solution to the differential…

A: We can solve this as follows:

Q: [x) = √x. (a) Simplify f(22 + h) − f(22) - h Algebraically simplify your answer until you have…

A: Given query is to find derivative using definition and then equation of the tangent.

Q: Let N, H. S. D, R. J. and B be the propositions: N: Mr. Smith is the brakeman's next-door neighbor…

A: Mr. Smith lives halfway between Detroit and Chicago if and only if Mr. Robinson and Mr. Jones lives…