If x² + xy = 10, then when x = 32 0 - 17/12 0-2 0 2/1/201 01/1/201 dy =? 2, dx

Q: Let f (x) = - x² – 3. Find and simplify ƒ' (x) and ƒ" (x). x5 f" f'(x) = A = -3 B C = || f" (x) D E…

A: Given Function f( x ) as follows

Q: Find the surface area of the part of the plane 4x+3y−z=2 that lies above the box 2≤x≤5,   2≤y≤6…

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Q: 3. a. Find the intervals of increase and decrease for the following. y = 2x² - 8x + 1 b. y=x² + 160…

A: A function f (x) increases in the interval I if f'(x) > 0 for all x in I.A function f (x)…

Q: If what does the following integral equal? 4 19 q(s)ds = [ q(s)ds = 13 and La q(s)ds = 10.7

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Q: Solve the following non-homogeneous differential equations: 1) x"(t) + x(t) = 2 cost

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Q: Find a Cartesian equation for the curve. r = 9 cos(0)

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Q: Let f(x) = -x+7 and g(x) = x^2 -2 evaluate the expression f(g(1))

A: We have to find f(g(1)) for the given function. It is a example of composite function. We replace x…

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: For which values of x are the vectors (2x, 4, x) and (-1, -2, x) orthogonal? Select one: O-4 and 2…

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Q: Let g(x) = ² + 12 Ax² + B (x²+12) C A = B = C= = D = E = F = g"(x) = x(x² + E), where (+²+F)G where…

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Q: Use spherical coordinates. Evaluate xex + y2 t2 + dV, where E is the portion of the unit ball x² +…

A: To find  E is the portion of the unit ball  that lies in the first octant

Q: differentiate y(theta) = e^cot theta

A: given function

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

A: Order is the highest power of the derivative Degree is the power on the highest power of the…

Q: For each of the described curves, decide if the curve would be more easily given by a polar equation…

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Q: Find the surface area of the part of the plane 2x+5y+z=4 that lies inside the cylinder x^2+y^2=1.…

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Q: (Order your answers so the x-coordinates are in order from least to greatest.) f has ---Select---…

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Q: Evaluate the integral by converting to polar coordinates. 3 S³ S 0 9-x² cos(x² + y²) dy dx = 0

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Q: Find a Cartesian equation for the curve. r = 5 sec (0) 2π X

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Q: 2. Isolatex. For answer, show this structure <x< -5 ≤ 2-x < 5

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Q: Two sets A and B are defined as follows: A = {x, y, z); B = {1, 2, 3}. Ug Oh f range of g range of h…

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Q: The magnitude of the vector (3, -2, 4) is 29. Select one: O True O False

A: The given statement "The magnitude of the vector  is "

Q: Describe the x-values at which the function is differentiable. x² y = x² - 49

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Q: A large tank is partially filled with 150 gallons of pure water. Brine containing 2 pounds of salt…

A: Let A(t) be the amount of salt at any time t According to Question Rate of pumping in  gal/minRate…

Q: Given: f(x)=4x-10 and g(x)=√x-6 Determine the following: (f-g)(10)=0 (HM)={ (fog)(7)=O -O (gf)(6) =…

A: The given functions are  and

Q: Let f(x) = 2x + 3 and g(x) = -3x - 6. Compute the following. (a) (fog)(x) (b) (fog)(9) (c) (gof)(x)…

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Q: 23-28 (a) Find the intervals on which f is increasing or decreasing. (b) Find the local maximum and…

A: (a) To find the intervals on which f is increasing or decreasing, we need to analyze the derivative…

Q: For the vectors u = 37 - 8j + 2k and v=4i - 23 - 4k we have ū × v = 28i + 20j +38k. Select one: O…

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Q: Isolate 9.\ 2 5 = 22 gt² + vt gt² + avt ??? 25 = 25= 2 ut(+ +2 g = expected: -avt + $25 t²

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Q: Compute the average rate of change of the function on the given interval. g(x) = x³ x on [4, 5] -

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Q: Determine the inverse Laplace transform: F(s) = (5 - 2s)/(s2 + 7s + 10)

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Q: - Consider the function ƒ(x) = x² − 4x + 2 on the interval [0, 4].

A: f(x)=x2−4x+2 on the interval [0,4]

Q: What is the center of the sphere given by the equation x² - · 6x + y² – 2y + z² +82 +17 = 0? -…

A: The standard equation of a sphere is given by  where (h,k,l) is the center of the sphere and r is…

Q: Consider the curve r(t): = og(t)i + e-tj+ + 5k for t > 2. Calculate limt →+∞ r(t) (if it exists). е

A: Find the limit

Q: 1+x² What is the slope of the tangent to the curve y-- 2x when x = 3?

A: y=1+x22x

Q: Estimate f (5.06) for f as in the figure. y=f(x)/ ƒ (5.06) ≈ (4,2) (10,4) Tangent line X (Give your…

A: The figure is given as,Estimate

Q: Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (If…

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Q: +² dt F(x) In(t) F(x), determine whether F is inc a dec x>2 at x=2020

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Q: Find the measures of the sides and angles. Round angle measures to the nearest tenth of a degree.…

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Q: Find the volume of the region in the first octant bounded by the coordinate planes, the plane x+y=5,…

A: Equation of plane : and equation of cylinder : Find the volume of the region in the first octant…

Q: (a) Estimate the area under the graph of f(x) = 1 + 2x² from x = -1 to x = 2 using three rectangles…

A: We have given that, the function is    , x = -1 to 2.(a) For n=3, we have the right Riemann sum…

Q: An employee's monthly productivity M, in number of units produced, is found to be a function of the…

A: An employee's monthly productivity M, in number of units produced, is found to be  a function of…

Q: Labor. Refer to Table 4. (A) Find the average rate of change of weekly hours from 1980 to 1990.…

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Q: r(t) = 2t²1 - 4tj + 2t³k (a) r(t) (b) r"(t) (c) r(t)r"(t) (d) r(t) x r"(t)

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Q: 3 Use algebra to find the point at which the line f(x) T- 4 59 6 h(x)= - Y 4 3 C Write the values of…

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Q: If h (x) = (x² – 2x 43 04/0 0 - 12/25 3 00 - (x² – 2x − 1) ³, then h' (0) =? - 43

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Q: 6. Logarithmic differentiation Use logarithmic differentiation to evaluate f'(x). f(x)=(1+x²)in x

A: The given function .The aim is to find the derivative of the function using the logarthim…

Q: Q/ solve equations 1- y' = ky 2-x(1+y²) dx =y(1+x²) d;

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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: 11. Identify the horizontal asymptote of * 3 f(x) = +2 x-2 Oy=1 Oy=2 y=3 Oy=-2 Identify the domain…

A: Horizontal asymptote:If  then the line y=L is the horizontal asymptote of the function f(x)

Q: c) On the cartesian plane below, put a point where the following coordinates are. a) A (-5, 4) m i…

A: Consider the figure