1. Use the Product Rule to differentiate y = x³(2x + 1)*.

Q: The differential equation (3ycosx+ 4.xe* +2x'e" dx+ 3(sin x+1)dy 0 is exact because OM ON Ox

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Q: -2x y = Ce 2 + Cze*

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Q: Find fla) for f) = x? +6 Aind fre) for fY) = x-5_ Frnd flay for f(x) = × ² -4x+} Find fr x) for floc...

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Q: Consider the polar equation r = 9 +4 cos whose graph is shown below. (a) What is the distance betwee...

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Q: Implicit differentiation x^2+2y^2-4=0

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Q: cos (6x4) – 1 Let f(x) Evaluate the 9th derivative of ƒ at x = 0. %| x7 f(9)(0) = Hint: Build a Macl...

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Q: 4x2-1 4. S( 9xe*) dx (6х-8х3

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

Q: Use identities to find the value of the expression. If Bin o = 0.45, find cos CT/2-e). 61e sin@ - T/...

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Q: Find an equation of the tangent line to the graph of the equation at the given point : y = 16 – x² ;...

A: The given equation of the graph is y=16-x2 and the point is (3, 7) . We have to find the tangent lin...

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: an=n+1-n+3 limn→∞an=limn→∞n+1-n+3limn→∞n+1-n+3=limn→∞n1+1n-n1+3n   =limn→∞n1+1n-1+3n=limn→∞1+1n-1+3n...

Q: far 4 (4f² + 3)² dt cos t dt 1 + sin t sec x tan x dx sec x – 1

A: Given:  4 ∫4t2+32 dt5 ∫cos t1+sin t dt6 ∫sec x tan xsec x-1 dx To Find: To evaluate the each of the ...

Q: Solve the initial-value problem starting from y0 = 10. dy dt = −6y y =     At what positive time doe...

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Q: 4. Homogeneous Diffe rential Equation: (r+2ry-4y kdx-(x² -8.ry-4y kdy= 0 y Use the substitution y wx...

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Q: dh + 2h = 0 dr

A: Given:rdhdr+2h=0  

Q: Exact Diffe re ntial Equation: x(3xy – 4y' + 6 kdx + (x³ – 6x°y² –1\dy = 0 |

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Q: SOWE THE DIFFERENTIAL EQUAMON (2xy+ xIn 3x)dy + (x ty) d (x ty) dx = 0 when x = 3 y= 2 %3D

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Q: (NAS1) Find the local linear approximation L (x)of the function f (x) = 5 – xåt x = 2 -

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Q: Vx2tan4x2 dx 2. S (2cos2x2-1)2 dB 3. S 1+e2B 2lnx+1 dx 4. ((Inx)2+Inx) x

A: Given:  2 ∫x2 tan4x2 dx2 cos22x2-123 ∫dβ1+e2β4 ∫2 ln x+1ln x2+ln xdxx  To Find: To evaluate the give...

Q: 3. What is the derivative of y = (f(g(f[g(x)))? Furthermore, if you are asked to evaluate the deriva...

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Q: 1. Elimination of Arbitrary Constant: y= Ax² + Bx+C , A and B are constant, C is a parameter 2. Fami...

A: Note:- These are multiple questions and according to our company guideline we can do maximum one que...

Q: Elimination of Arbitrary Constant: y= Ax² + Bx+C,A and B are constant, C is a parameter

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Q: +1 2+2x+x+2 20 points) Answer the following questions for the function g(x)=- a) What is the domain ...

A: a) what is domain of g?The domain of a function is the set of input or argument values for which the...

Q: cm/ min when the height is / m. The height is changing at a rate of (Type an exact answer, usingn as...

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Q: nd the derivative of the function: y = 3x (6z – 5. elect one: y' = 36x – 45x² y' – 18z – 30z² y' - 1...

A: y=3x(6x-5x2)

Q: Without a table of values and without graphing f(x), give the values of the following limits. lim 3x...

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Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

A: ## we want to find out that the given statement is true or false.. The statement is as follows: * If...

Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

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Q: cos(7t), 3t >. Find the arc length parameter s(t) with base point at P(t0) where t0 = 4.

A: Here is solution

Q: Given a particle is moving in a curve r(t) = cos  6t i + sin 6t j +  10t k. Find the tangential comp...

A: I have appended the formula used in the solution part

Q: Consider the vector field F = (4x + 6y, 6x + 2y) Is this vector field Conservative? Conservative If ...

A: Vector field is conservative. Then find f(x, y) 

Q: Lqsudnhlao203=9m] -03P99E90RO[9U3RM7210 Ud8y(,om 301 29u 3 ***#!12ngwe gggd 982eh c y The function f...

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Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.03 cm/ min....

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Q: An open box is to be made out of a 9-inch by 19-inch piece of cardboard by cutting out squares of eq...

A: Given: The dimensions of the piece of the cardboard is 9-inch by 19-inch. An open box is made out of...

Q: Solve the initial value problem: (y² – y³)dx + (1 + 4xy – 4xy²)dy = 0, y(÷) = 2.

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Q: soWE THE DIFFERENTAL FQNATUON Zydx-(3xy°dx - xdy =0) %3D when x= 2 ,y=2

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Q: The differential equation (3ycosx+ 4xe* + 2x²e* ]dx + 3(sin x + 1 )dy = 0 is exact because ƏM ƏN

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Q: Direction: Read then solve the question carefully. Click the letter of the correct answer. Find the ...

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Q: Answer 4,5,6,7 4.What is the second derivative of  y=6x^4−3x^3+x^2−5? A.y′′=144  B.y′′=72x^2−18x+2...

A: As per guidelines we can solve only one question at a time so if you need more answers kindly repost...

Q: Constants: A and B B cos(wt + A)

A: Differential equation  Elimination of arbitrary constant 

Q: 8x Use the alternative formula for the derivative to find the derivative of f(x) = x-9 ...

A: We have to find derivative by using alternative formula.

Q: 5. Let, f(x, y) = V5x5y – x²y3 (a) Find the slope of the surface z = (b) Find the slope of the surfa...

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Q: Never properly learned how to do this

A: The objective is to find h'(7).

Q: 2. y"-7y'=(2x-1)sin 2x

A: Given,y" - 7y' = (2x-1) sin2xNow substituting the value:y" = D2yy' = DyD2y - 7Dy = (2x-1) sin2xD2y -...

Q: Find the derivative of the given function. y = x-5x +5) y = (x² - 5x + 5) e 6x 15 dy dx

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Q: Direction: Read then solve the question carefully. Click the letter of the correct answer Find the 4...

A: y=6x5+3x4-2x3+5x2-8x+9Differentiate w.r.t.xdydx=6.5.x4+3.4.x3-2.3.x2+5.2.x1-8+0         ddx(xn)=n.xn...

Q: Answer the question below: Let h(x, y, z) = ze*y + x² cos(z) cot(y³). The student should find hyzx.

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Q: Consider the polar equation r = 4 cos(0) – 13 sin(0). (a) Convert the given polar equation to a Cart...

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Q: Consider the vector field F Evaluate |F. dī along the curve C: 7(t) = tỉ +t°j, 0 <t < 2

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Q: A spherical iron ball 10 in. in diameter is coated with a layer of ice of uniform thickness. If the ...

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Q: Find fræ, fry and fuy for the function f(x, y) = (1+x + y)e*y Select one: O a. None of these O b. fr...

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