What is the second derivative of the function y = -6 sin x cos x where x is? Round your answer to the nearest whole number. d'y dx2

Q: fxe-*dx= 303 blow Sie f sin (In y)dy =

A: Integration by parts : ∫u·v dx = u·∫v dx - ∫ddxu·∫v dx dx

Q: e Sc (4x + 3√y) c Evaluate figure. ds where C is given in the accompanying CH 1- (0,0) y=x O (1,1) X…

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Q: Differentiate the following functions using Chain Rule: 1. y = (4x + 3)²

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

Q: The plane (x, y, z) = (4, 2, 1) + s(1, 1, -2) + t(2, -1, 3), converted into scalar form, has the…

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Q: mathematically

A: We will solve the problem

Q: 11. J√e²-1dx

A: We have to evaluate the integral.

Q: y = 4 16 3x+3

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Q: 4. Find the domain of the following functions: 10 (a) H(x, y, z)= 1+x² + y² +4z² (b) K(w, x, y,…

A: A detailed solution is given below.

Q: Covered topics are Applications of Definite Integral: Plane Areas and Areas Between Curves and…

A: We have to find volume generated by given condition.

Q: If f'(x) > 0 at x = c, f(x) at x = c is

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Q: 2xy π Find the equation of the tangent line of the function tan (xy²) = " at x = π

A: This question is based on finding tangent equation while calculating slope.

Q: 1/A) Replace the polar equation by equivalent Cartesian equation r2cose + 2sino

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Q: Evaluate the following integrals/limit/s: 1. S√16-x²dx

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Q: Evaluate the following integrals / limit/s: 1. S√16-x²dx dz S. 2. √x²+2x

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Q: For the following exercises, use the second derivative test to identify any critical points and…

A: First find the first partial derivatives and equate it to zero and find values of x and y. Then find…

Q: x 0 Can also be displayed as: f(x) = [x - 1 when x < 0, 1 when x = = 0, x² 1 when x ≥ 0] For this…

A: The given function,     fx=x-1,x&lt;01,x=0x2-1,x&gt;0

Q: Given that dx 5₁² = missing steps = I due √x+2 √u Re-write the integral will all the missing steps.…

A: Given:     ∫-2-1dxx+2 Apply u-substitution:  Substitute u=x+2→dudx=1            dx=du Lower limit…

Q: 1. Convert the ff. in cartesian form: (a) 2² = 4+47² (b) p = sin osin

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Q: 5. Answer the following questions. (a) Sketch a graph of f(x) = |2²-9 and find the points c such…

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Q: Biologists stocked a lake with 300 fish and estimated the carrying capacity (the maximal population…

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Q: Solve the equation to find the value of a,b,c and d. Eqn 1: 6 = 6 b + d Eqn 2: 6 + 4 = 3b + c +…

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Q: A radioactive substance decays exponentially. A scientist begins with 140 milligrams of a…

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Q: Consider the curve, x² - y² + sin (TX) In(x) + x = 0. =

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Q: If S A 2x²+x+1 (x-1)(x+1)(x-2) 11 3 -2 11 3 None 1 E - 3 C dx = А SA + B C + 1 + = -₂2]dx x+1 + dx,…

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Q: Define as the region bounded by the functions u(y) = √5 + 1 and v(y) = 1 between y = 1 and y = 2.…

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Q: 1 f(x) = (2x³ + 6) ³

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Q: A payment of $2,300 is due in 2 years and $3,700 is due in 4 years. These two original payments are…

A: To find:The payment required 3 years for the rescheduled option.First we have to take effective…

Q: 5. [x3* dx X

A: A detailed solution is given below.

Q: Find the area of the region lying between the inner and outer loops of the limacon r = 1-2 sin θ

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

Q: y" + 4y = cos²x

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Q: figure out absolute min & max values: g(x)=cos^2(x)-3sin(x) Interval: 0<=x<=pi

A: Here we have to use the concept of derivatives.

Q: Find the absolute maximum and minimum values of the function f(x) = cos²x-3sinx on the interval…

A: Given function, f(x)=cos2(x)-3sin(x) We know that, Suppose that x=c is a critical point of fx then,…

Q: 8. +1 (x-1)³ -dx

A: Integration

Q: Given compute the following integral. [ f(x) dx = -9 and 1.° 8f f(x) dx = -8, в' 8f(x) dx

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Q: What is the derivative of y = (4x2 + 9x + 1)e-2? O no correct answer Oye-2 [2(4x² + 9x + 1) + (8x…

A: Solve the following

Q: 6. ၂ 3z+1 -4) -dz

A: ∫3z+1(z2-4)2dzExpand:=∫3z(z2-4)2+1(z2-4)2dz=3∫z(z2-4)2dz+∫1(z2-4)2dzNow solving…

Q: sin 3x cos 5x dx

A: ∫0π/8sin3xcos5xdx here we use formula  sinacosb = (1/2)[sin(a+b) +sin(a-b)]

Q: y= (4x² + 2) (4x3³ - x)

A: Here we have to evaluate y=4x2+24x3-x

Q: ܐܐ 19. dz 'z(nz5

A: Solution is done in step 2

Q: 150. Determine the real number a such that vectors a = -3i+2j and b = 2i+aj are orthogonal.

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Q: Which of the following is or is not an improper integral? Clearly explain your choice. A. ₂dx B. dx…

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Q: Sand is poured at the rate of 10 m3/min so as to form a conical pile whose altitude is always equal…

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Q: 2. Let f(x) = 3 cos 2x + sinx. a) b) Show that f'(x) = -5 sin 2x. π 3π In the interval <x< one…

A: We need to find derivative and normal.

Q: f(x) = (6x² - 2x+1)^

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Q: 2. 12, 3. 7, 20, 47, 94, 167, 4.1, 4, 2, 8, 6, 24, 22, 5. 11, 23, 48, 99, 6. 6, 13, 27, 55, 111,…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

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Q: Sanna and Obadia argued about the definition of L e-x 1 dx - Sanna split the integral as -X e [54 dx…

A: We need to explain integral split.

Q: Evaluate (5x + 2√Y) ds where C is given in the accompanying figure. S (5x+2√5) ds- (Type an exact…

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Q: 4. Being careful to allow for parts of the curve being both above and below the x-axis, determine…

A: Area is shown below÷

Q: 1= sin√xcos√x √x A) None Зл B 256 Зл C 512 3 D 256 3 E 512 -dx is equal to

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