Find the slope of the line tangent to the curve x + sin(y+π) = 2x3 + ey at the point (-1,0). Show work.

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A: NOTE: Refresh your page if you can't see any equations. . take integration  ...............(1) at ...

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A: Since we are given with the multiple number of questions and our guideline is solve the problem so k...

Q: 1 10. cos 0 tan 0 +1 2

A: .We will verify the given identity.Below find the solution in image.

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Q: f(9) = 2, f(2) = 3, f'(2) = 13, f'(9) = = 13 Find F'(9) and G' (9). F'(9) : G' (9) =

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Q: . Determine whether the given sequence converges, and, if it does, find the limit. i. an = sin ii. a...

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Q: Find the values of 'a' and 'b' that make the following piecewise function differentiable everywhere....

A: We have to find value of a and b for given Questions.

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Q: Find the general solution of 4y'- 23y" - 33у" -17у — Зу 3D 0

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Q: e*dx e2x +1

A: We know that; ∫axdx=axlna+C And ddxcot-1x=-11+x2   Given: I=∫7cot-1exexdxe2x+1   ....1

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Q: (2xy + 1)dx + (x² + 4y)dy = 0 (17) (18) (6xy + 2y² – 5)dx + (3x² + 4xy – 6)dy = 0

A: 17)   Given that 2xy+1dx+x2+4ydy=0  Here  M=2xy+1,       N= x2+4y Therefore     ∂M∂y=2x,            ...

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Q: Determine whether the integral is convergent or divergent. 33 9(x – 1)-1/5 dx convergent O divergent...

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Q: 1. A thermometer reading 180C is brought into a room where the temperature is 700C ; 1 minute la the...

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Q: The power series representation for cosh x is cosh x = x2n Use this to find a power (2n)!" Ln=0 seri...

A: Explained below 

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Q: COS Cos 3x dx CoS

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

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Q: Question 14 (1 point) Find the limit of the infinite sequence. 2, 2, 2, 2, 2,. Enter dne if the limi...

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Q: Find the value of the line integral given below. (Give your answer correct to 2 decimal places. Hint...

A: Given: F(x,y)=yexy i+xexy j

Q: 1. Find the limit of the following: x° – 11x +37x* +6x' – 297x? +621x – 405 lim. x* —11x* +47х* -114...

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Q: Evaluate the integral. 0.4 x2 dx 4 - 25x2 |

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Q: valuate the integral below along the path C. (Give your answer correct to 2 decimal places.) | (2r –...

A: The detailed solution is given below Thank you  The final answer is -101.48

Q: 14.130 the ratimal 2e10s the orem to find all the real 2eroß the Dalynamial furltion, Use the zeros ...

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Q: O convergent O divergent

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Q: An airplane moves in the northwesterly at 125 mi/hr relative to ground, due to the fact there is a w...

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Q: II. Let U = R, 1 = { x eR | x5 – 26x3 + 25x = 0 }, J = { x € R | |4x + 2| > 10 } and K = { x €R | x?...

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Q: Evaluate the integral below along the given path. (Give your answer correct to 2 decimal places.) /(...

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Q: have the cartesian coordinates x=3, y=9, z=3.  please show me how to convert to cylindrical coordina...

A: Given: x=3, y=9, z=3.  

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A: We will integrate the above expression. 

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Q: Use Newton's method to find an approximate solution of 7 - 9x =x. Start with x, = 1 and then find x....

A: Here, the given equation is: 7-9x=x3⇒x3+9x-7=0 Let, f(x)=x3+9x-7 And, the initial value given is: x0...

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A: Given ;

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A: Tp solve the following differential equation

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Q: Using the graph of g(x) below, answer the following questions. 1.0 E4 a) Where is g(x) > 0 ? (Enter ...

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Q: Variable Separable (6) (xy - 3y + x – 3)y' = xy + 2y – x - 2 (7) y' kM – ky; Provide the explicit so...

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Q: Show that In x lim x→1 x – 1 1.

A: To prove: limx→1 ln xx-1 =1 limx→1 ln xx-1 =00 form L'Hospital's Rule tells us that if we have an in...

Q: Consider a polynomial f (x) = ax³ – bx + c. Find the value of b if f' (2) = 0 and f" (2) = 31.

A: This question is related to function and their derivatives.

Q: Evaluate the integration by part

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Q: 12 | g(t) dt = 30 4. 9(7) V3 9(12) = 4 12 g'(x) Evaluate: dr = 16 + (g(x))²

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Q: Suppose that your first guess with Newton's method is lucky, in the sense that x, is a root of f(x) ...

A: Option (B) is correct answer i.e. x1 and later approximations will be equal to x0

Q: CAn equation of the plane through the point (2, 5, 7) that is parallel to the line 7 (t) = 3î + 2ĵ -...

A: Given problem:-  Find an equation of the plane through the point (2, 5, 7) that is parallel to the l...

Q: (x-y)dx+(x-y+2)dy=0,Solve For Homogeneous DE

A: Given differential equation is (x-y)dx+(x-y+2)dy=0 Solve homogeneous DE

Q: Let A be the area of the region that lies under the graph of f (x) = e-* between x = 0 and x = 2. (a...

A: The given region is: f(x)=e-x ;           0≤x≤2

Q: n7 + sin(18n + 13) 29 Determine whether the sequence an n18 + 13 converges or diverges. If it conver...

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