ग Calculate the partial derivatives and using implicit differentiation of (TU-V)² In (W - UV) = ln (5) at (T,U,V,W) = (1,4,5,25).

Q: We are going to calculate the derivative of the following function using the Chain Rule (or more…

A: Topic- Functions and derivatives We are given, y=tan(πx)We know thatddxtan x=sec2xddx(ax)=a

Q: Use the rational zeros theorem to list all possible rational zeros of the following.…

A: Write the given polynomial: fx=7-4x2+2x3-x4-5x

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Q: Find the critical points for the function f(x, y) = 2x² — 4xy + 4y² — 4y and classify each as a…

A: Given, f(x,y)=2x2-4xy+4y2-4y

Q: of the foll 1. Explain what each of the following means and illustrate with Lace a sketch())…

A: As  per our guidelines we can answer only 3 subparts of the given question, so kindly repost the…

Q: ƒ(x) = 8x¹³¹(x), find ƒ'(3).

A: Given query is to find indicated derivative.

Q: 1. Find the nth Taylor polynomial P₁ for f about x = a. Use P₁, to approximate f(b). Compare your…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Differentiate 5* sec (e*).

A: Given query isto find the derivative of the function.

Q: Find the gradient of f(x,y,z)=xyz2. ∇f=_______ i+___________ j+______________ k

A: Given, f(x,y,z)=xyz2

Q: 3. Find the derivatives: a) f(x) = 3x³-4 2x²+3 b) DO NOT SIMPLIFY y = (x² + 6x + 2)(²+√x + 3) c)…

A: Given; a) f(x)=(3x3-4)/(2x2+3) b) y= (x2+6x+2)(2/x4 + 3sqrt(x5) +3) c) g(x)=-2csc7x+8sin3x+12tan2x…

Q: The polynomial P(x) has the following characteristics: ● degree 3 . a root of multiplicity 2 at x =…

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Q: Let f(x) = |x-10). Evaluate the following limits. f(x) - f(10) x - 10 0 0 lim z→10- f(x)-f(10) lim…

A: NOTE: Refresh your page if you can't see any equations. . here we have x=10

Q: dy + (2xy - x√y) dx = 0

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Q: 6 6+ -36 V-36

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Q: Evaluate the radical expression and express the result in the form a + bi. 6 √-36 6 + -36

A: See the answer below

Q: Based on census data, the population of Freedonia is modeled by the function P(t) = 265t² + 29084…

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Q: Star tan 5t dtl

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Q: Joanne sells silk-screened T-shirts at community festivals and craft fairs. Her marginal cost to…

A: This question can be solved using the concept of application of derivatives and  integration.

Q: Let f(x) = 4x + 19 √x+13 2 if x if x = T 4 4 4

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Q: 2. The radius of a right circular cylinder is increasing at a rate of 2 inches/min and the height is…

A: r= 8 inches, h= 12 inches, dr/dt= 2 inches/min and  dh/dt= -3 inches/min

Q: Identify which of the following is a solution to the given ODE: y' = (y-1)/2x a. y= (3/2 x)+1 b. y=…

A: We are asked to solve the differential equations

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Q: Suppose that the dollar cost of producing x appliances is c(x) = 1200+70x-0.1x². a. Find the average…

A: Topic- Functions and application of derivatives We are given

Q: Find the area between y=sinh(2x), y=0, and x=ln(2)

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Q: Sketch the region whose area is given by the definite integral. [*√16-x² dx N -2 y 15 10 5 y 4 3 2 2…

A: Area=8π     unit2

Q: Jamal's hockey team needs to raise $233.10 for new uniforms. The players earn $66 from rafle ticket…

A: Given query is to find the amount required to pay for the uniform.

Q: The height, h, in meters of a dropped object after t seconds can be represented by h(t) = dropped?…

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Q: Solve the System. Give your answer as (x, y, z). 2x + 5y + 6z - 3 4x - 5y + 3z - 15 - - 8x - 5y2z =…

A: solve it

Q: Use Descartes's Rule of Signs to determine the possible numbers of positive and negative real zeros…

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Q: and g(x) = x³ g(x) for all x, if gls) = 4 find 9" (5) = 4 and

A: Given, g'(x)=x3g(x)g(5)=4

Q: dy dx. √sin(xy) + 1 0 JJ h soɔ (hx)soɔ h 7/1²

A: Let's evaluate integral by using Fubini's theorem.

Q: 18 Friday Find dy by implicit differentiation. coxvel.com 5x² +6y². 19 Saturday b=

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

Q: 4. A train, starting at 11am, travels east at 45 mph. Another train, starts at noon from the same…

A: Let x is the distance in East direction, And y is the distance in South direction, Since they are…

Q: Begin with the graph of y= ex. Use transformations to graph the function. Then determine its domain,…

A: giveny=ex

Q: Consider the function f given by if x ≤ 0, if x > 0, which is continuous at x = 0. Determine if f is…

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Q: Using the expanded series of cos 2x, evaluate the given limit. (Non-anonymous question) lim X →0…

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Q: At a price of $20 there is demand for 204 items and a supply of 100 items.  At a price of $40 there…

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Q: (1) Approximate x²dx using (a) left endpoints, (b) right endpoints, (c) midpoints and n = 1000…

A: To find the left  , right endpoint and midpoint.

Q: To find the volume of the solid obtained by rotating the region enclosed by the curves y= 2√x-5 and…

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Q: Let f(x) = 2x² 13x + 1 The slope of the tangent line to the graph of f(x) at the point (3,- 20) is…

A: We have given  f(x)= 2x2-13x+1  Find the slope of f(x) at (3,-20)  And the equation of tangent line…

Q: Write the expression in rectangular form, x + y i, and in exponential form, re i0 (-1 + i)5 The…

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Q: Find the x-intercept of the tangent line at P(4, 1) to the graph of the curve defined parametrically…

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Q: The centers of two unit circles (circles with radii 1) are located at the distance 2a from each…

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Q: An object is dropped from a tower, 157 ft above the ground. The object's height above ground t sec…

A: NOTE: Refresh your page if you can't see any equations. . the position function of the object after…

Q: 8. The height of an object thrown on the surface of a certain planet is given by s(t) = 60+ 16.4t -…

A: Solution is done in step 2

Q: 5. Use derivative procedures to find the following: a) Find dyx by implicit differentiation: x³ +…

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Q: 4 Find the slope of the tangent to the curve f(x)= √√x at the point where x = The slope of the…

A: We have to find slope of tangent of curve at point x= 1/9 Topic :- Application of derivative.

Q: The surface area of a right-circular cone of radius r and height h is S = Tr√√² +h², and its volume…

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Q: Find the GS of d (D − 3)² (D – 2)³(D² − 4D + 5)y(x) = 0 where D = - - dx

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Q: For the graph shown below do the following. a. Find the zeros and state the multiplicity of each…

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