Find where it increasing and decreasing x^5-2x^4+3x^2-5x+

Q: What is the area (in square

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Q: given z=xlny-((2^x)/y)+ysinhsqrtx, find (∂^4)z/∂x∂y∂x∂y

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Q: Use a triple integral to find the volume of the solid bounded by the graphs of the following…

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Q: Given the system x + 3y = 10 2x - y = 6 a) Create the augmented matrix of the given system b) solve…

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Q: Find the gradient of the function at the given point. In(x²-y)-3, (3,8) X Vz(3, 8) = z =

A: The given function,   z=lnx2-yx-3, at the point 3,8

Q: x+2, The function f(x) = 2x², Select one: Ⓒ True False x≤1 1<x<3 is continuous from the right at x =…

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Q: Find the angle of inclination of the tangent plane to the surface at the given point. (Round your…

A: Find the angle of incidence of the tangent plane to the surface of the given point.

Q: lower sum upper sum Function f(x) = 9 - 2x s(n) = S(n) = Interval [1, 2]

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Q: (2x²-10a+15) da Integrate: f gở ba tô 2x+3 ln()+ +C n(²²³)+c +C 3 In O2a +3 ln()+ ○ 3 ln() + C o +C

A: We have to integrate ∫2x2-10x+15x2-5x+6 dx.

Q: z = (x + y)², x = s²t, y = st². Use the Chain rule to find d ds for t = 1 and s = 2.

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Q: a b) exist. x² yesy 8x4+7y² Find the domain of the function f. f(x, y) = Show that lim f(x, y) does…

A: The given function,  fx,y=x2ye5y8x4+7y2

Q: (x¹+y¹) dx - xy³ dy = 0 [Answer: y = 4x¹logx + Cx¹]

A: This question is based on Homogeneous differential equation.

Q: A heart-shaped graph in a 2D plane is defined by the equation (x² + y² - 1)³= 4x²y³ Determine dy/dx…

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Q: r(t) = (-3√√9-1²,4 sin (4t), 2 In (-3-2t)), then the domain of r is given by the interval Select…

A: Here, r(t)=-39-t2, 4sin(4t), 2ln(-3-2t)

Q: Use an appropriate test to determine whether the series converges. Σ k=1 By the 9 k 12 9 this series

A: Please see the below picture for detailed solution.

Q: π/4 [sin (√x) dx 0

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Q: Use the Divergence Test to determine whether the following series diverges or state that the test is…

A: This question can be solved using the concept of divergence test.

Q: Let z = (y - 2x) ³, where x = s′ s²t and y = st². Use the Chain Rule to dz find when s = 2 and t =…

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Q: The partial derivative of the function f(x, y) = 4x² – 3xy + 5y-e³+8y with respect to x is: Select…

A: To find out the partial derivative of the equation.

Q: Use the gradient to find the directional derivative of the function at P in the direction of v. h(x,…

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Q: Find concave upward and concave downward of 6x^2-x^3

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Q: The solution of the following non exact differential equation (cos x) dx + (1+² sin x)dy = 0 is:…

A: The given differential equation is;  Cosx dx +(1+2/y Sinx) dy=0

Q: If f(x) is a differentiable function then f'(a) is given by which of the following? f(x) = f(a) I.…

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Q: Work Problem You must provide a clear and detailed solution for the question. Let 2 = (y - 2x) ³,…

A: To find out the partial derivative.

Q: Use Linear Approximation to estimate Af = f (7.01) - f(7) for f(x) = x². (Use decimal notation. Give…

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Q: dz Evaluate: ¹5 10+2x 01 O Divergent O 0 O-1 15

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Q: Given that the graph of f(x)f(x) passes through the point (5,10)(5,10) and that the slope of its…

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Q: Consider the following. lim (1+1)* X-00 (a) Describe the type of indeterminate form (if any) that is…

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Q: Evaluate: St dz 2√√7+3 ○1-3 ln(7/5) O 2-3 ln(7/5) 2 2+3 ln 7 03-In()

A: Given :∫14dx2x+3

Q: Evaluate: ffefdxdydz 0-1/1 O 01/12 O-1 S

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Q: If f(x, y) = A In (x² - y) -x+y+1 O {(x, y) x² > y, {(x,y)|x² ≥ y, ○ ○ {(x, y) x² > y, | then the…

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Q: A man of height 1.9 meters walks away from a 5-meter lamppost at a speed of 1.1 m/s. Find the rate…

A: topic- application of derivatives

Q: The function f gives the weekly profit, in thousand dollars, that an airline makes on its flights…

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Q: Find the arc length of the following curve on the given interval. x= 12t³, y=18t², 0sts √3 The arc…

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Q: Where is f(x)= x³ differentiable? (interval)

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Q: Find the following Wronskian: W(4, 3t, e-³¹, te-³1) O-972e-6t 0-972e6t 6 972e6t O 972e-6t 00 O-6

A: We can find the Wronskian .

Q: (2x²-10x+15) 22 50 tôi 2x+31(2-3) + G Integrate: f -dx

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Q: Given the graph of f, find any values of x at which f' is not defined. A 44 SOU OA. x= -1, 0, 1 OB.…

A: Solve the following

Q: π/2 The integral f/2 So sin drde is equal to cos 0 O-1/2 O 1/2 0 1 00 10

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Q: If f(x, y) = 2√/16 - x² - y², then the domain of f is the set D = {(x,y)|x² + y² ≤ 16}. Select one:…

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Q: Find dy/dx by implicit differentiation and evaluate the derivative at the given point. dy dx At 4, x…

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Q: Question 11 Find dy/dx of y = log₂ (x log5 x) In a alna ln 2 O y =

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Q: Find the solution of the given initial value problem. y(4) 10y""+25y" = 0; y(1) = 10 +e5, y'(1) =…

A: This is a problem related to differential equation. Please follow the procedure given below.

Q: f(x, y) = 6√√√x – y²e- - a) b) y²e-3ry + | co y Find f and fy. Evaluate fazy (4,-1).

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Q: Vector A has a magnitude of 8.0 m, South and vector D has a magnitude of 10.0 m, 530 W of N. Find…

A: To find out the vector product.

Q: A bush fire is burning a circular area whose radius is increasing at a rate of 3 ft/min. How fast is…

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Q: A road perpendicular to a highway leads to a farmhouse located a = 1.5 km away. An automobile…

A: This question is based on application of derivative.

Q: Evaluate: cot¹ (+) -do 0² O None of the choices Ocot³ (1)-cot (1) + 0 n ( ² ) − ² + c - ()επει ο -…

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Q: 2x² sin x + 3y³ lim (x,y) →(0,0) 3x³ + 2y² if we approach along y-axis, we will get 0. Select one: O…

A: To determine whether the following statement is True or False.limx, y→0, 0 2x2 sin x+3y33x3+2y2if we…

Q: Find the arc length of the following curve on the given interval. x=7t+1, y = 24t-7, 0≤t≤3 The…

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