0 -3 5 1 0 1 0 6-58 0 -1 -1 3 4 -2 0

Q: If what does the following integral equal? -15 -50 [9f(x) + 2g(x) - h(x)]dx = -15 |_| f(x)dx = 15…

A: The integrals are given asTo evaluate: The value of

Q: 5 Determine the difference quotient for the function f(x) = 2x-1.

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Q: Compute the following limit using L'Hospital's rule if appropriate. lim (√2³-42² - 2) = I->∞0

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Q: Find a formula for the nth term of the sequence where an is calculated directly from the value of n.…

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Q: A 13 ft ladder is leaning against a house when its base starts to slide away. By the time the base…

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Q: Does the series below converge or diverge? If it converges, find its sum. Either way, justify your…

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Q: 2. (y +y²)dx - (y²- 2xy+x)dy = 0

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Q: 2. by (No need to justify for full credits if your choice is correct.) A. B. C. Which of the…

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Q: 2. Determine whether the series n Σ» (-1) (3) converges or diverges. If it converges, find the sum.

A: The given series is

Q: Find the maximum and minimum values of the function f(x, y) = 2x² + 3y² - 4x - 5 on the domain x2 +…

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Q: Find f'(t) if f(t)=4t² +8t+3.

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Q: Math 152 metric IHU 3. In this problem we'll evaluate the integral cos²(z) sin³ (2) dr. (a) First,…

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Q: For this interval notation, draw its graph and write its equality: (-∞0, 6]

A: The given interval is .The aim is to sketch the interval and write its equality.

Q: Find the value of an investment of $20,000 for 14 years at an annual interest rate of 3.85%…

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Q: Seperate the variable and solve the equation 2y (dy/dx) + 2x = 0. Use the initial condition x = 0;…

A: The given equation .The aim is to find the solution with the initial value .

Q: Find the lines that are tangent to the curve y = 2tan(pi*x/4) at x=1

A: The equation of tangent line passes through point  with slope

Q: 1. x dy dx – 4у = х6 ex 9x

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Q: ·b f(b) − ƒ(a) = f'(a)(b − a) – ſå ƒ"(x)(x − b)dx - a

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Q: (a) The graph below is the derivative of f(x), but you are answering questions about the parent…

A: Note: As per our guidelines we are supposed to answer only first 3 subparts.If there are multiple…

Q: The radius of a right circular cone is increasing at a rate of 1.2 in/s while its height is…

A: given

Q: Consider the function F(x, y) = xy2 + 2xy-6y2-8x-12 y + 54. (a) Find the critical points, where Fx…

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Q: Find the derivative  a. y= ln(cos^2x) b. y= e^cosx+e^-x

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Q: Use the alternative form of the derivative to find the derivative of the function f(x) = x³ + 8x, X…

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Q: Use the quotient rule to find the derivative of -10 sin(x) - 1 6x² +5 You do not need to simplify…

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Q: 16. x1 + 3x2 +4x3 = 0 3x1 + 8x2 + 7x3 = 0

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: The given curve is rotated about the x-axis. Set up, but do not evaluate, an integral for the area…

A: Recall:Area of the resulting surface rotated about the x-axis :If the curve y= f(x) ,…

Q: Let f(x) = Then f'(x) = π The equation of the tangent line to y = f(x) at a = can be written in the…

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Q: (a) Decide on a trigonometric substitution to use. atant 84 de=asec Codo /₁ de in terms of 6 and de.…

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Q: Find d'y dx² if f(x) = 3x³ (√x − 2).

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Q: Use Lagrange multipliers to find the minimum value of the function f(x, y) =x² + y² subject to the…

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Q: If y = 5x + 8 find 8' X dy dx at x = 1.

A: y=5x+8/x8

Q: Find the general solution of the first-order linear equation dy dx + 2y = e²x

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Q: The median home value in Texas and Missouri (adjusted for inflation) are shown below. Year Texas…

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Q: 9. If f(x)=x²-2x+7, evaluate each of the following

A: The given function is To find:-

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = 2xe…

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Q: HOMOGENEOUS DIFFERENTIAL EQUATION Solve the following differential equations using HOMOGENEOUS DE.…

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Q: 1) State the order of the given ordinary differential equation. Determine whether the equation is…

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Q: At what point(s) on the curve x = 6t² + 9, y = t³ - 5 does the tangent line have slope 2 (x, y) =

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Q: If 1800 square centimeters of material is available to make a box with a square base and an open…

A: Let the side of the square base = x cmLet height of box = y cm

Q: Evaluate the following integral, (9x - y²)dx + xy dy where C is given by x X = 5t, y = √t, 0 ≤ t s…

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Q: HOMOGENEOUS DIFFERENTIAL EQUATION Solve the following differential equations using HOMOGENEOUS DE.…

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Q: Use the tangent line to the curve  x7 + y2  =  x + y  at the point (1, 1) to approximate the…

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Q: What is the acceleration of r(t) = (et cos(t), et, t).

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Q: Evaluate the following integral, f (x - 5y) dx - 8y² dy where C' is given by x = y² + 6 from (7, 1)…

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Q: Evaluate the following limit. lim 8+←8 15 ln x X = Note: Input DNE, infinity, and -infinity for does…

A: Given,

Q: 1 Ifh (r) = e*, then h' (r) =? 04 x O(z) = _ r2

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Q: Find the derivative of the algebraic function. c5-x5 c5 + x5 f'(x) = f(x) = c is a constant. X

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Q: A projectile is fired with an initial speed of 240 m/s and angle of elevation 60°. The projectile is…

A: The initial speed of the projectile isAngle of projection, The initial vertical position, The…

Q: (b) Isolate дет 11 2x 5 = 1/2gt²2² + vt

A: To isolate  in the following equation.

Q: Consider the function f(x) = 4x²e-. a. Find the first derivative. f'(x) = b. List any critical…

A: According to our bartleby expert guidelines only first three subparts are to be answered kindly…