7. (1+x*)dy + x(1+ 4y°)dx =0

Q: Find the tangent line to the curve y = x^2 −5x + 11 at the point (1, 7). Use the limit definition of...

A: slope of the tangent line is m=dydx at (1,7)   By limit definition of derivativedydx=limh→0f(x+h)-f(...

Q: 20 w(x) = x' + 7x3 3 1 v(x) = e² s(1) = r*e* 1² – 2 q(x) =

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A: ANSWERS: equidistant from point A and B also equidistant from point A and B of intermediate locatio...

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A: Continuous and differentiable checking

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Q: (a) The curve with equation y² = x³ + 3x2 is called the Tschirnhausen cubic. Find an equation of the...

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Q: D. z= X = Cos t, y = sin t; t = T/2 y? + 1'

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

Q: 5. r(t) = (t°/3) i + (12/2) j, t>0 %3D 6. r(t) = (cos³ t) i + (sin³t) j, 0<t< a/2 %3D

A: This question is about finding vectors   k, b &amp; t   

Q: *(+²–1) cos[cosh (In r")]dr 4.

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Q: Calculate the divergence of cach of the following functions (a) r²î + y²§ + 2²k. (b) yzî + xzj+ xyk....

A: As per the instruction, we will answer only the first 3 subparts. For (a), For a given vector fx, y,...

Q: cot dv cot (v +9) 1-cose

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Q: Given the combined differential operators for a given differential equation (D + 4)(D – 3) (D - 4) D...

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Q: Note : m=0 2. 4-x a. Let f-1(x) = .Find f(x). т+4x b. If g(x) = 3 + v2x – m and f(x) – 1 = x² , then...

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Q: around the -axis.

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Q: . There is a jump discontinuity at x = 1 and lim f(x) = 1 x +1

A: To draw a graph of a function with jump discontinuity at x=1

Q: Write a differential formula that estimates the change in the surface area S= 6x of a cube when the ...

A: Given that surface area of cube s=6x2and side length change from x0 to x0+dxsolution:x=x0  and dx=dx...

Q: Given the differential equation t2 y" - 3ty' + 4y = 0

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Q: Hello, I don't understand the equation may someone help me out, may you also write the work and answ...

A: tan t=65 and 0≤t≤π2

Q: Find the arc length of the graph of the function over the indicated interval. 3/2 y : x² !!

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Q: Given the differential equation y" - 16y = 5 x2 Determine the General Particular Solution for the di...

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Q: Suppose a baby food company has determined that its total revenue R for its food is given by R = ' +...

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Q: EX:- Show that dw Vす 2. の ē" dw fcb)-VEerfa) %3D e dw ei

A: Using error function erf(f) . 

Q: Write the first five terms of the sequence, give the exact answer: +00 n n + 17 n=1 Determine whethe...

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Q: about

A: Please refer to the image below 

Q: :

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Q: 3k +1 a) Let ak = 2k Find ak k=1 (– 1)" b) Let b, n2 + 1 2 Find bn n=0

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Q: find the x- and y-interceptsofthe rational function. (if an answer does not exist, enter DNE.) t(x)...

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Q: Find the extrema of the given function f(x, y) = 6 cos(x² - y²) subject to x² + y? = 1. (Use symboli...

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Q: DIRECTION: Solve the following problems in neat and orderly

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Q: 2x2 + 3x + 4 If f(x) : then: f'(x) = f'(3) = %3D

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Q: 2y (x+2)² dy dx'x² – 4 x – 4

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Q: (1+cot 0) de 5. sin e14 - cot? e

A: The objective is to evaluate the integral.

Q: The owner of a ranch has 1,000 yards of fencing material with which to enclose a rectangular piece o...

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Q: 2 x-6 = 1/8

A: Given:   2x-6  =18

Q: 7. sec2 x = 2tanx +4 8. tane = 2sine %3D

A: Note:- according to the company policy we can attempt only one question so please upload the next qu...

Q: Hw Find and dw we cosh' (cot( 4- Ws

A: Since you are asking multiple questions. We are answering only the first question as per our guideli...

Q: Find the following limit value. Show all work and proper limit notation. 7 lim x-5 (x – 5)4

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Q: Find the transition points. y = 4x7 – 56x° (Use symbolic notation and fractions where needed. Give y...

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Q: Using variable separable technique, find the general solution of dy/dx = (1+y^2)/(1+x^2

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Q: Water is leaking out of an inverted conical tank at a rate of 10,000 cm3/min at the same time that w...

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Q: 4-What response would you give to a classmate who makes the statement, "I don't need to learn the pr...

A: We have to explain why product rule is important.

Q: Hw Find Land dw cosh (cot( 3- 4-ws

A: We know, ddx(xn)=nxn-1, n is any real number. ddx(cosh(x))=sinh(x) ddx(cotx)=-cosec2x

Q: y" - 9y' = 0 Determine the Characteristic Equation for the differential equation. (A R² – 8 = 0 B R2...

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Q: 27 1 2n + 1 n=1

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Q: Use the definition of the derivative to find the derivative of f(t)=8−7t.

A:  Question :Use the definition of the derivative to find the derivative of f(t)=8−7t.

Q: +00 S 13 In n n n=1 Determine whether the sequence converges, and if so find its limit. If the seque...

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Q: Let g be the function given by g (x) 100 (t2 – 3t + 2) e ť dt. Which of the following statements abo...

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Q: 1. a) Consider the function z = t², in which t = x – y. Use chain rule to compute dz the partial der...

A: "Since you have asked multiple question, as per our guidelines we will solve the first question for ...

Q: Given f(x) 7 find f'(x) using the limit definition of the derivative. f' (x)=

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Q: Fitting a Polynomial to a Sequence Use difference sequences and matrices to determine the polynomial...

A: Solution