The gradient of f(x, y) = xy at (x, y) = (3, 3) is

Q: Find the value of if the equationxy + z³x - 2yz = 0. Find the value of dz/dx&dz/dx at the point…

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Q: 04: Find dy/dx for the following function:: (Choose only four) (1) y = sinh1(tanx) (2) y = 7esv2x+3…

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Q: Find the accumulated future value of the continuous income stream at rate R(t), for the given time…

A: This question is related to Compound Interest, we will solve it using given information.

Q: Problem 1: The graph of f and g are given. Use them to evaluate each limit, if it exists. If the…

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Q: 10. Find similarities and differenced between the quadratic, the sine, and the exponential functions…

A: Here, the given functions are: f(x)=x2, g(x)=sin(x), h(x)=2x

Q: Upon the death of his aunt, Lucien receives an inheritance of $40,000, which he invests for 13 years…

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Q: Let f(x)=x² defined a function on the closed interval −2 ≤ x ≤ 8. 1. f (4) 2. f(-3) 3. f (t – 3)

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Q: 8. Given f(x)=x+3 and g(x)=4 – x², find g(f(x)) and f(g(x)). 9. Given f(x)=x²+4x-9 and g(x)=-4x² –…

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Q: What is the sum of the series 00 10 21 21 11 -7)

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Q: Put the equation into the form x'(t) = g(t)h(x), and solve by the method of separation of variables.…

A: Factor the equation

Q: 10. Let w = f(z) = Find f(1 - i) 1+z 1-z A. 1 - 2i B. −1+2i C. -1-2i D. none of the above

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Q: Q3/ If f(x)= x=2x+1 X71, a=2 Find the followings; a) f(x) = x b) show that f(f(x)) = f (f(x)) c)…

A: "Since you have asked multiple questions with multisubparts, we will solve the first question with…

Q: What is the explicit rule for the nth term of the geometric sequence? 3, 18, 108, 648, 3,888, O an =…

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Q: At age 35, Ronald earns his MBA and accepts a position as a vice president of an asphalt company.…

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Q: 1745 into prime

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Q: What is the accumulated value of periodic deposits of $3,500 made into an investment fund at the…

A: Given problem:- What is the accumulated value of periodic deposits of $3,500 made into an investment…

Q: Which is the standard equation of the parabola in the graph? Directrix 2 Focus Axis T قمة [cy…

A: To find the standard equation of the given parabola

Q: ind the exact value, if any, of the following composite function. Do not use a calculator. tan -[tan…

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Q: 2л ind an equation of the tangent line to f(x) = 7 cos(x) at x = 3 Let y = f(x) and express the…

A: Given query is to find the equation of the tangent to the curve.

Q: Suppose the position of an object moving horizontally after t seconds is given by the following…

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Q: Prove using the def. Of a limit (b) limx→0(2x^2) − 3)) = −3

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Q: Calculate the derivative of y = cos (7x³). (Use symbolic notation and fractions where needed.)

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Q: What is the approximate value of tan (3)? O-3.078 O 0.033 O 1.083 O2.468

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Q: Starting at age 35, you deposit $2000 a year into an IRA account for retirement. Treat the yearly…

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Q: Jacqueline loaned $61,000 to a small business at 5.14% compounded monthly for 1 year and 9 months.…

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Q: Which of the following represents a geometric sequence with a common ratio r= 5? O2, 10, 15, 75, 375…

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Q: 7. Find the vector and parametric equations of the plane that is parallel to the yz-plane and…

A: W e have to find the equation of plane.

Q: y-values 9 8 7 3 2 1 If f(x) = f'(3) = = 1 g(x) h(x)' g(x) 2 3 x-values then 4 50 y-values 5 4 3 1…

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Q: 4. 4. f_x²dxdx (9-x²)

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Q: Find the cost function if the marginal cost function is C'(x) = 3x - 4 and the fixed cost is $8. ...…

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Q: (6) Solve the following differential equations of 1 xy³dx + (x²y² +1) dy = 0

A: To solve the differential equation.

Q: Part 2. Find the Standard Equation 4. parabola with vertex at (5,4) and focus at (-3,4)

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Q: D. If the outer function is not differentiable. C. f 5x¹ dx = D. f 5x8 dx = 47. Which of these…

A: According to the company rule we can answer only the first question and rest can be reposted.

Q: If the Wronskian W of f and g is t²e³t, and if f(t) = t, find g(t). NOTE: Use c as an arbitrary…

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Q: Evaluate (+2)(3-2) dr Use C to denote an unknown constant Answer:

A: First we multiply (t+2 ) and (3t-2)

Q: Solve the following differential equations of 1 xy'dx + (x³y² +1) dy=0

A: We will use substitution x2=z. The formula I used has been written at the end of paper.

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: H.W (5) Solve the following differential equations of (3x² - 6xy) dx +(-3x²-2y) dy=0

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Q: Find the maximum and minimum points and the intervals where the function increases and decreases for…

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Q: An oil-producing country can sell 7 million barrels of oil a day at a price of $110 per barrel. If…

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Q: Minimize c = 8x + y subject to 10x + 20y ≥ 100 0.8x + 0.1y ≥ 2 x ≥ 0, y ≥ 0

A: minimize c=8x+ysbuject to constraint10x+20y≥1000.8x+0.1y≥2x≥0, y≥0

Q: (2) Show that y=x sinx is a solution to y"+y= 2 cos x.

A: To Show: y=x sinx is a solution to y''+y=2cosx

Q: 41. What is the derivative of f(x) = secx + 3 csc x? A. f¹(x) = sec xtanx + 3cscx cotx 3cscx tanx C.…

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Q: To find the volume formed by the function z=f(x, y) = x²y over the triangular region bounded by the…

A: Given problem:- To find the volume formed by the function z= f(x,y)=x2y over the triangular region…

Q: Question 2. Let f(x, y) = 5xy² + sin(x + y). Find the following: (a) The gradient of f(x, y). (b)…

A: as per company guidelines we solve only first three subparts when multiple parts question being…

Q: 9. Expand and simplify the answer. (2x - 2)°

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Q: Find the area bounded by the given curves, or as described. I.) Sketch the graph II.) Find the…

A: The region bounded by the curves,   y=x3, y=0, x=1, x=3

Q: dx x² + 10x + 30 X2

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Q: 11. A plane has 3x + 2yz + 6 = 0 as its Cartesian equation. Determine the vector and parametric…

A: This question can be solved using the concept of planes in three dimensional geometry.

Q: Find a differential equation whose general solution is y = c₁e³t+c₂e-3t 5t = 0

A: The general solution,y=c1e5t+c2e-3t