f(x, y) = x + 3xn-kyk + yn x² - y²

Q: 03 * The following is a graph of f'(x). At which value of a does f(x) have a maximum? y=f(x) -2 -4…

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Q: Question 5 Find the antiderivative of f(x) = 2 csc² x given that 3π ƒ ( ³7 ) = = 1. O2cotr+1 O-2 tan…

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Q: Domain and range of y= 7/x+1

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Q: Find the limit || (Enter 'DNE' if the limit does not exist) lim (z,y) →(-35,5) xy cos(x + 7y)

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Q: A boutique sells blouses and purses. The blouses cost $27 each and the purses cost $44 each. On a…

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Q: 14. A rectangular garden is to be planted against the side of a barn. The gardener has 80 metres of…

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Q: Find the gradient of the function at the given point. w = x tan(y + 2), (2, 12, -7) Vw(2, 12, -7)=

A: To find the gradient of given function.

Q: Using the trapezoid method, approximate the area under the curve y = x³ on the interval from 0 to 3…

A: Given: y=f(x)=x33Sub-intervals=3range of integral=[0,3]

Q: Question 7 30 cm (b) Show that sin0 = P VZ4 0° 42 cm Figure 1 36 cm NOT TO SCALE Figure 1 shows the…

A: Given:

Q: For the given position vectors r(t) compute the unit tangent vector T(t) for the given value of t A)…

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Q: f(1) = 2; lim f(x) = 3; lim f(x) = 3 X→1+

A: Graph the function f(1)=2,limx→1-f(x)=3,limx→1+f(x)=3

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: Question A3 sin² x sinh2 a) Evaluate the limit of the function your reasoning. b) Find any points on…

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Q: 7 Σ 4. Which of these is not like the other? Explain. Option 1: {(1,-20), (2,-15), (3,-10), (4,-5),…

A: To determine which of the option is different from the other.

Q: Q.5. As might be expected, the load-carrying capacity and deformation under load of a column are…

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Q: Question 2 Solve the following simultaneous equations xy = 256, 3log, (v) = 1 (4 marks)

A: Using logarithmic property Logxy=z then apply exponant both side we get y=xz

Q: From the top of a 174-ft lighthouse, the angle of depression to a ship in the ocean is 16°. How far…

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Q: A curve is defined as y = (a) Find the coordinates of the stationary value. (b) Evaluate M x² (x =…

A: given function is y = 1x-1x2(a)  finding its stationary points :-now ,    y ' = ddx1x-1x2 ⇒y ' =…

Q: Evaluate the double integral, where R is the rectangle [0, 2] × [−1, 0]. √√₁₂ (x²y² + x) dy dx

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Q: For what values(s) of k does the function y = Aekt satisfy the equation +-6y=0?

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Q: Find the inverse Laplace transform L{F(s)} of the given function. F(s) = 8 s²+4 Your answer should…

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Q: = 4. Find the arc length of the graph of y 1 + on the interval [1,2]. 2x

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Q: 04 * 1 -1 0 2 Which of the following is the value of lim x-0 sin 4x 2x if it exists?

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Q: 04 * Which one of the following sequences, represented by its general nth term, has the third term…

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Q: Which of the following are the x-coordinates of points of inflection on the graph off in the…

A: We have to examine that given 2 points have point of inflection for the given curve.

Q: 3x¹+6x² limx→0 4x4-12x² --/1/201 0 314 01 nonexistent

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Q: (-1)n² n² n³n+2 lim n→∞ n³

A: limn→∞(-1)n2n2n3-n+2=?

Q: 4. Let s(t) = -5² + 40t be the position equation for a rock thrown upwards. At what time t, in…

A: Let's find time t to rock change directions.

Q: Given f(x) = cos x and g(x) = sin x a. Determine (fog)(T) b. Determine (g¹og)(x)

A: given  f(x)=cosx   and  g(x)=sinx we know that   (fog)(x)=f(g(x))

Q: What is the slope of the tangent line to the curve y2 - 2x2= 6-2xy at the point (2,3)?

A: To determine the slope of the tangent line to the curve y2-2x2=6-2xy at the point 2, 3.

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: J1 6x² + 5x +8 X dx =

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Q: 04 * Consider the line in R³ that has a vector equation as (x, y, z) = (9, -1, 3) + t (-5, −1, 1), t…

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Q: Let f(x) = x¹ + 2x³ + 3x² + 2x. Then f'(x) is and f'(2) is f''(x) is and f''(2) is

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Q: ( ²-² + ² ) ✓ = 15² (8 ( ² + ² ) . ( ²/² + ²² ) ₂²² = ( − 15_³ = (5 55-³=1 (²-4), ( - ) ² = (

A: Topic:- Laplace transform

Q: An apple farmer has determined that if he plants 100 trees per acre, he will get a yield of 50…

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Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

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Q: 3. If the equation s(t) = t³ − 2t² + 1 describes an object's motion in metres, at what time t, in…

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Q: Evaluate the double integral by first identifying it as the volume of a solid. R = {(x, y) 1-15xs1,…

A: Given double integration ∬5dA R = { ( x , y ) | -1 ≤ x ≤ 1 , 2 ≤ y ≤ 7 } }

Q: Find all values of x such that sin(2x) = sin(x) and 0 ≤ x ≤ 2π. X =

A: given  sin(2x)=sinxgiven  interval  is  0≤x≤2πformula used is  sin(2x)=2sinxcosx

Q: 7 arctan(7/æ)dæ

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Q: Let Compute дw -(-2,-2) = -(-2,-2) = მs дw St W = 2xy - 2yz + 3xz, x = st, y = est, z = t² =

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Q: Regarding e as a function of a, b, and 0, determine the differential de and use the result to…

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Q: Consider the sequence 19√ √n 3-√√n n=1

A: Consider the sequence 19n3-nn=1∞

Q: Find all real zeros (if any) and state the multiplicity of each. f(x)= 6x6+12x5-48x4

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Q: Find the magnitude of the resultant force and the angle it makes with the positive x-axis. (Let a =…

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Q: 1. In the method of cylindrical shells, integration is over an interval on a coordinate axis that is…

A: 1)In the method of cylindrical shells, integration is over an interval on a coordinate axis that is…

Q: A differentiable function f has the property that ƒ (4) = 5 and f' (4) = 3. What is the estimate for…

A: NOTE: Refresh your page if you can't see any equations. . it is given that which means the point…

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y₁…

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Q: Decide whether L'Hospital's rule can be applied to each of the following limits. Olim+0+ In(4)

A: As per our guidelines we are supposed to answer only one question kindly repost other question as a…