Do Not Round until final answer Use the appropriate interest formula to find the amount totale 21,000 at 5% annuel for 4 years. compounded? annually Semi- annuelly totel after 4 years 4 years totel after 4

Q: Find the local min, local max, and saddle points of the surfaces z = f(x,y) for the below function:…

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Q: Implicit Differentiation using f, fy & f Let 20x² 1 dy dr dy Use partial derivatives to calculate at…

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Q: Evaluate the following integral using trigonometric substitution. 7x² dx (121+x²)² S What…

A: The given integral is 7x2(121+x2)2.

Q: For the quadratic function f(x) = x² + 4x - 8, find the vertex, the axis of symmetry, and the…

A: y=x2+4x-8

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. || y=…

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Q: Evaluate the integral. [22 tan x sec ²x dx 21 [22 tan 21 x se x secx dx =

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Q: 3 (-1,2.625) -2 -1 4 N 0 -2- (-2,-2.25) -4 Graph of f(x) 1 2 Given the graph of the continuous…

A: Solution : From the given figure it is clear that

Q: The integral in this exercise converges. Evaluate the integral without using a table. -7 S -7 ∞ 72…

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Q: Evaluate the following integral using integration by parts. In 22 xe Xex dx In 22 S Xex dx = 0 (Type…

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Q: the Wa Salve the... Following.. ......3x³6xy Ax (3x²+2 y.).dy. =a ... ... ... ... ..x 2y.). dy...…

A: Note :- As you want only integrating factor for both question so i am only finding this not complete…

Q: (d) Show 1. Given the following table of values, find the indicated rivatives in parts (a) and (b).…

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Q: A motorcycle shop estimates that it will sell 600 motorbikes in a year. Each bike costs $250, plus a…

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Q: 3 2. xdy + y = xy²³ ху dx

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Q: Calculate the flux of the vector field F = (z, x, y) through the surface S which is the portion of…

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Q: Find the linearization. L(x) of f(x)=x² +1/x a+x= 1₁

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Q: 2x²-5x-10 (x+2)(x² −4) dx

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Q: 3. Compute 82 f + 0x2 8 f òy2 for the function f (x, y) = ea sin (ay).

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Q: Use the Special Integration Formulas (Theorem 8.2) to find the indefinite integral. [√17X 17x² - 1…

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Q: Apply a second derivative to identify a critical points as a local maximum, local minimum or saddle…

A: need to find out the critical point.

Q: A function h is dependent on x and is differentiable for all real numbers. Let f be the inverse of…

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Q: Solve the D.E. y" + y = 2tant O y = C1cost + C2sint - 2cost In (sect - tant) O y = C1cost + C2sint -…

A: We can solve the given differential equation by using the method of variation of parameters.

Q: r12 Find ſ² ſ¹²(x + ln y) dydx 3 8

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Q: Evaluate f'(x) if f(x) = x¹nx¸ 2 lnx lnx [A] ·X² x In [B] x xnx 2 [C] 2 ln x x ·x² [D] 0 [E] 2 ln…

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Q: aw aw at əs w = xy³z² - 3xy; x = 5s, y = 2tp, z = 3tq², 3q Use the chain rule to find and = 2s, 2p=…

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Q: 8. Find the directional derivative of f(x, y) direction of the point P to the point (4,1). = 2√x -…

A: directional derivative of f(x,y)=2x-y2 at the point P(1,5) in the direction of the point P to the…

Q: r> 0 r< 0 (4₁-2-3) (r, 0) (r, 0) = X X

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Q: Find the equation for a polynomial f(x) that satisfies the following: Degree 3 ■ Zero at x = -2 ■…

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Q: Question Let h(x) = f(x)g(x). If f(x) = 4x² + 3x + 1 and g(x) = 3x² – 3x – 4, what is h' (−1)? Do…

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Q: 1. Evaluate the following expressions. Round your answer to 4 decimal places. a) log, 17

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Solve, y" + 2y + 5y = 4e¹cos2t when y(0) = 0 and y'(0) = 0 O y te^-tcos2t Oy= te^tsin2t Oy=…

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Q: one has a Tess man its polynomial function. The volume of a cone is V = ²h for radius r and height…

A: Given query is to find the volume of the function.

Q: Put the equation y = y = - 3(x + 2)² + 5 into general form y = ax² + bx + c.

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Q: Evaluate the following integral or state that it diverges. dx 17.15 x² +25 1

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Q: Determine the equation L(t)=tV+p for the line between the points (7,5) and (6,9).

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Q: H.W: Solve the following equations.. ............. der. 2 X y Xay. y.³). dx.

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Q: 2. Evaluate the total derivative of u with respect to x for u = 5x³+y²+z² when y = sinx and z = cosx…

A: Given y=sinx So, dy=cosxdx Given z=cosx So, dz=-sinxdx

Q: Calculate directional derivatives and gradients in three dimensions. Find an equation for the…

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Q: The second derivative of the function g is given by g" (x) = 0.15 0.29x4-0.694x³ + 1.9136x2. At…

A: To check the inflection point,    It is enough to check whether g"(x) =0 or not.

Q: Q= (a) Find the point that is a distance 0.1 from the point P = (5,6) in the direction of v = (1,…

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Q: 2. In(2x² + y); x = √i, y = 12/3

A: Need to find out the derivative.

Q: Determine the least possible degree of the polynomial function shown. The least possible degree…

A: We have to determine the least possible degree of the polynomial functionshown.

Q: x 1 3. Bauh. Bd. J... A Xdy. (X² 3y).d.x.=... Jo 2 ....................

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Q: given costheta=5/13 with theta in QIV, what is the value of 2theta?

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 1. sin(In 41x) X dx

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Q: For Dz/dt its incorrect

A: To find the derivative.

Q: dy Find for the equation ex+y² = x. dx 3-x [A] [B] ³ xy 1-x 2xy [C] 1-2x xy [D] 2-x 2xy+e [E] 1-x xy

A: Concept: The formulas used: ddxxn=nxn-1ddxln(x)=1xln(ab)=bln(a)

Q: #1

A: Given query is to solve for separation variable differential equation

Q: x + 3y s 18 2x + yΣ 14 x Σ Ο Υ Σ Ο

A: See this solution in below.

Q: Which function is increasing? Ⓒ y = ln x O y = -lnx O y = -log₂ x ****

A: Which function is increasing?

Q: A strain of Staphylococcus aureus doubles every 8 hours. A colony of 20000 was cultured in a petri…

A: