Find fy for the function f (x, y) = yx³ – 2x²y³ y - y³ x³ - 6x²y² Option 3 y - 6xy² 3 _ 2xy® - Option 4 Option 1 Option 2

Q: Find the area in the third quadrant bounded by the curve x=y^2+2y.   * Draw/Plot the diagram for…

A: Given, x=y^2+2y

Q: Given the function f(x, y, z) = x ln(1 - z) + and simplify your answers. a) fa b) fxz sin(x - 1) 2y…

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Q: Use n = 4 to approximate the value of the integral by the following methods: (a) the trapezoidal…

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Q: Evaluate lim X→∞ √x-√x³-1 √9x3+3-4x

A: To evaluate the limit of the given function.

Q: The area bounded by the line y=x, the x − axis, the ordinates x =1, x =2 is ___ O 3/2 sq units O 5/2…

A: area

Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 2x + 4y = 4,…

A: I am attaching image so that you understand each and every step.

Q: y = 3sinh (3t) 3 s² +9 9 S² +9 O A) C) O B) D) 3 $²9 9 s² - 9

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Q: please show in your solution how to get the pt of intersection between curves  y=(x)^1/3 and…

A: Point of intersection of the curves is the point where two curve intersect .

Q: X 4e² Evaluate Sv dx 2 Use rationalizing substitution. A e√ex - 2 = 2√2 Arctan 1/2 √et et - 2 + C…

A: We have to find value of given Integral.

Q: S²³² The numerical value of -3√9-2 dx will be equal to

A: Given that ∫-33x9-x2dxSolution:odd even property if f is odd f-x=- fx  then ∫-aafxdx=0

Q: If R is the disc with center at the origin and radius 5 then the numerical value of [xdA is equal to

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Q: of Let f (x, y) = tanh-¹(x-y) with x=e" and y= usinh (t). Then the value of dt (u,t) =(4, In 2) is…

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Q: Use the second curve fitting criterion to minimize the sum of absolute deviations for the model y =…

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Q: The area in the first quadrant bounded by y = x², the circle x² + y² = 2, and the x-axis TT b is…

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Q: fy = √2 – 3x², find d'y dr2

A: Given query is to find the Indicated derivative.

Q: The volume of solid of revolution when rotated along y - axis is given as b A [ny²dx a b B fony² dy…

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Q: Given cos(8): = B 5 and the terminal side of 8 lies on the fourth quadrant. What is the value of sin…

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Q: Which of the following equations can be derived from the partial fraction decomposition of a…

A: We can solve this problem as follows:

Q: Given the function f(x, y, z) = x ln(1 − z) + following and simplify your answers. a) | fx b) u fxz…

A: We can answer both the answer as below

Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings (in…

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Q: The face of the gate of a dam is in the shape of an isosceles triangle 4-m wide at the top and 3-m…

A: I am attaching image so that you understand each and every step.

Q: 12

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Q: Find the equation of the tangent line to the curve ³+y³ = 9 at the given point (1, 2). a. 4x-2y=10 O…

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Q: Consider the vector-valued function R(t) with Ả'(t) = (sec²(t − 1), - 2 Vt (a) Find R(t) given R(1)…

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Q: Assume the acceleration due to gravity is -32 ft/s². A ball is thrown vertically upwards from a…

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Q: Illustrate the angle 91 4

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Q: a point of intersection on the unit circle whose x coordinate (3/3₁-3) (-/-/-/-) 5'5 2√6)

A: Given query is to find the intersection point.

Q: The cylindrical shell method is to be used to compute the volume of the solid generate by revolving…

A: Solution is here

Q: 12 The value of the definite integral fm1² √ex – 9 dx is in the form F (b) – F (a), where a 19 and b…

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Q: Find the derivative of the following using the differentiation rules. x3 +6√x-7x+3 f(x) =

A: In this question, we need to find the derivative of the given function.

Q: Sean Marley Tapulayan Active Now Find all solution to the given equation. In the choices, k runs…

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Q: anser

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Q: Which ONE of the following is NOT the critical point of the function f(x,y)=xye OA (-1,-1). B. None…

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Q: 3. f(x) = x²-1 2x+1 if'(1)

A: Solution is here

Q: Illustrate the angle 5π Answer in 20mins

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Q: Estimate the value of 217(1/3) a. approximation b. differentials

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Q: af find given f (x, y) = e + 2xy² - 4y at (0,3) 9 ду O-12 O-7 O 8 O 4

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Q: particle moves along a straight line with equation of motion s = f(t), where s is measured in meters…

A: Topic:- application of derivatives

Q: The directional derivative of f(x,y,z) = In 1+yz from P to Q(-1,-1,2) is given by .... .(Correct to…

A: Given :f(x,y,z)=lnx21+yz-3xz2

Q: -1 33x 0 43x dx

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Q: Evaluate the integral given below. Check your answer by differentiating- NOTE: Enter the exact…

A: To evaluate the integral given below. To check theanswer by differentiating.∫16t-6 et dt=?+C

Q: y = e√√²t sin√√2t √2 (s-√2)² + √2 A) √2 (s -√2)² + 2 √2 (s + 2)² + 2 B) 2 (s-√2)² + 2 9

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Q: + d²z Oy2 = 0;

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Q: 1/2 Scave [ (a²-x² - x²) ¹²h dx (8) = √5 (9² - x²)³/²2 [³ (a²-x²) ¹1²2 0/² ] + c 15

A: Given:       ∫a2x6-x8dx Rewrite:      =∫x3a2-x2dx substitute u=a2-x2→dudx=-2x→dx=-12xdu…

Q: 2. For a given perimeter, what is the ratio of the length to the width of a rectangle that will have…

A: Solve the following

Q: 2. Consider the vector-valued function R(t): Show that is continuous at t = 1. 1-t² Į (₁²-1₁…

A: Consider the vector‐valued functionR→t=e1-t, 1-t21-t3, ln2-t,  if -1<t<1t, 0,  t-1, if t≥1to…

Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 2x + 4y = 4,…

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Q: The numerical value of л за 3dA (where D is the region bounded by lines y=0 and x = 1, D and the…

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Q: A force of 3.0 pounds is needed to stretch the spring to 1.0 ft. from its natural length of 10…

A: Given problem:- A force of 3.0 pounds is needed to stretch the spring to 1.0 ft. from its natural…

Q: 5 Given cos(8): and the terminal side of 8 lies on the fourth quadrant. What is the value of…

A: Given problem:- Given cos(θ)= and the terminal side of e lies on the fourth quadrant. What is the…