You have the innial value problem below, solve it analyitcaly write you answer as a symbolic function of x. y=y-exy (0) = 1

Q: ← Find fx (x,y) and fy(x,y). Then find fx (2, -1) and fy(-4,3). f(x,y) = In 9x¹ +8x²y² fx(x,y)=…

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Q: Write the equation of the line that passes thruigh the point (2, -3) with the slope value 2. Express…

A: To write the equation of the line in slope intercept form

Q: Solve for x in the triangle. Round your answer to the nearest tenth. 12 56°

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Q: Find the derivative of: 7 sin² (8x³). Hint: sin²(x) = [sin(x)]²...so use the chain rule (twice!).…

A: Given: fx=7sin28x8   As we know that; The Power law: ddxxn=nxn-1 Apply the Chain rule: fgx'=f'gx·g'x…

Q: Calculate, to four decimal places, the first ten terms of the sequence. n *₁ = 1 + (-)"

A: We need to find out the first ten terms of the sequence.

Q: Find the surface area generated by rotating the given curve about the y-axis. x= 3t²2², y = 2t³, X=…

A: The given curves are  x=3t2, y=2t3,    0≤t≤1

Q: Find fx(x,y) and fy(x,y). Then, find fx (2,- 4) and fy (-4,4). f(x,y) = 4x cos (лу) fx(x,y)= (Type…

A: Implicit differentiation is done and then values of x and y are substituted.

Q: explain in your own words how the definite integral can be used to determine at least 2 different…

A: Please see the below picture for detailed solution.

Q: 168x+7,-6 ≤ x ≤ 14. Consider the function f(x) = 2x³ 9x² The absolute minimum of f(x) (on the given…

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Q: For y = x7/¹, find the point(s) where the tangent line is horizontal and determine where y' > 0 and…

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Q: Evaluate the definite integral. JO In 2 tanh x dx

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Q: Find the half-life of a radioactive substance if 220 grams of the substance decays to 190 grams in 5…

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Q: Continuing with the same graph of f(x), which value is the greatest: f(5), f'(5), or f(6) -f(5) ?…

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Q: Use the chain rule to find First the pieces: ow dr Ow მყ dw dz dr dt dy dt dz dt Now all together:…

A: The objective is to solve the above question.

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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

Q: Give your answer accurate to 3 decimal places. A man on a dock is pulling in a boat by means of a…

A: A man on a dock is pulling in a boat by means of a rope attached to the bow of the boat at a point…

Q: W 1 2 y concave upward 3 concave downward Determine the intervals where the graph of f is concave…

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Q: Find the derivative of the function. 14 logg(t) t g' (t) = g(t) =

A: Topic = Derivative

Q: -3 2. Express z³+z' (the conjugate of z raised to the third power) in polar coordinated form u(r,0)…

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Q: The cost function for folding bicycles is given by C(x) = 1450 + 900x + 0.1x² and the demand…

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

Q: An object of mass 2 [kg] is tossed up with upward velocity 10 [m/sec]. Assume the gravitational…

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Q: What is the result of multiplying out (2x − 7)(Ax² + Bx + C)? • Your answers should contain capital…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = -2 ex cos (yz),…

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Q: f(x) = sin² x, find f'(x) Find f'(4) (round to 3 decimal places)

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Q: Provide the complete sign analysis using a table to clearly indicate the behavior of the function…

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Q: and all functions that have a derivative functions have the form 0

A: Topic:- application of integration

Q: Determine the area of the region bounded by two the curves f(x) = 2²-26z+72 and g(x)= 13z +36.

A: To find the area of the region bounded by the two curves.

Q: Charles 'n Marge sell custom-build cabinet units for motor homes. The function P(x) = 2x² + 700x -…

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Q: Use the Ratio Test to determine whether the series converges absolutely or diverges. 3(k!)² 5(2k)! 8…

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Q: what is the set of whole numbers, positive integers, negative rational numbers, and natural numbers?

A: To write: The set of whole numbers, positive integers, negative rational numbers, and natural…

Q: f(t) 1 10 2 55 Given this limited data, what is the best estimate for f'(2)? 3 80

A: Given:  t 1 2 3 f(t) 10 55 80 To estimate: f’(2)

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) =…

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Q: A population grows according to an exponential (Malthusian) growth model. The initial population is…

A: Growth model :-Pn=P01+rnr=growth rate Here r=0.3 P0=5⇒Pn=51+0.3n⇒Pn=51.3n

Q: Given f(x, y) = ry - 6zy. Compute: 8²f dz² 8²f dy²

A: Topic = Derivative

Q: Consider the following. lim x→0+ (a) Describe the type of indeterminate form (if any) that is…

A: If a limit limx→cf(x)g(x) is of the indeterminate form 00. Then…

Q: 2. Let a be a real number, and consider the function h: (-∞, a) U (a, ∞) → R defined by h(x) A. The…

A: The limit of a function f(x) at x=a exists if and only if the right hand limit and left hand limit…

Q: Check that the point (1, 1, 1) lies on the given surface. Then, viewing the surface as a level…

A: Given surface: x2-y2+4z2=4 and the point 1,1,1.

Q: ✔ BOTTOM LINE QUESTION Find the antiderivative tan* tdt.

A: NOTE: Refresh your page if you can't see any equations. . use the integration rule

Q: K Suppose that T is to be found from the formula T=x (eY+ ey), where x and y are found to be 5 and…

A: Concept: Formulas used (f·g)'=f'g+fg'eln(a)=addxex=ex

Q: what points on the given curve  x = 4t3,   y = 5 + 60t − 8t2. does the tangent line have slope 1?…

A: Given query is to find the points where slope of tangent is 1.

Q: Find the critical numbers of the function. y-2 y² - 2y + 4 g(y) =

A: Given: gy=y-2y2-2y+4.Formula we will use here for g'y : ddyfg=gdfdy-fdgdyg2.

Q: The area under the curve y = 6x bounded by the lines z = 6 and x = 17 above the r - axis is = Square…

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Q: dx dt Please give an exact answer. If z³ = x³ + y², = dy -2, = dt dz dt Provide your answer below:…

A: To find derivative.

Q: Find the maximum rate of change of f(x, y) = ln(x² + y²) at the point (-3, -4) and the direction in…

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Q: 5. Find the inverse function of f(x) = 3x - 7. 3.2.1) mont noita ovitostjd a (ewors diw) Jou Maitsa…

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Q: The area under the curve y Square Units 5x bounded by the lines x = 9 and x = 26 above the x axis is

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Q: A rectangular tank with a square base, an open top, and a volume of 27,436 ft³ is to be constructed…

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Q: A function and its graph are given. Find the domain. f(x)=-1-√√9-x² 54

A: Ye

Q: 1 2²-1 x²16 da

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Q: Find the absolute maximum and absolute minimum of the function f(x) = -2 sin² (x) over the interval…

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