Find term number 6 in the expansion of: (4x + 2)° . the coefficient for term number 6 = the variable part for term number 6 =

Q: 1 Determine the values of a, b and c if: 2(a,b,4) +(6,8, c) – 3(7,c,-4) = (-24,3,25)

A: We can solve this as follows:

Q: need the answer quickly

A: Solve the following

Q: C Find the firet order parhal derivohve of fx,y,2). e W y-10y²23+ 43x hCs, t) =° t*In ts) + 32 4,5…

A: We want to find first order partial derivative of the given functions.

Q: 4. Let F = (3y cos(3z) + 4z)i+ (3+ sin(3z))j. Use the Fundamental Theorem of Line Integrals to find…

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Q: 3 - 6t +1 x =ť° +• ;teRat t= 4 y=t° - 3t² – 9t –1

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Q: need to find nth term, question is: Find a formula for the nth term of the sequence -1, 8, -27,…

A: Given query is to find nth term

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Q: (80") (7")(9") + 1* n=1 IM:

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Q: +*=1 are The vertices of the ellipse given by (2, 1) and (1, 2) (0, 1) and (0, – 1) Option 1 Option…

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Q: 3x?y y3 + 4x = Z

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Q: 12. Use words to describe the sequence of transformations. Do not graph. f(x)=-4 3x+9 -6 2.

A: Transformation of function -4123x+9-6:

Q: Prove the following identity: 1- tan? e cos 20 = sec e

A: solution:-cos2θ=1-tan2θsec2θ RHS=1-tan2θsec2θ        =1-sinθcosθ21cosθ2,      ∴tanθ=sinθcosθ &…

Q: The size of an unborn fetus of a certain species depends on its age. Data for Head circumference (H)…

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Q: Apply your understanding of derivatives to determine any intervals of increase for the function…

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Q: Find all the local maxima, local minima, and saddle points of the function. 4x² + 4y² - 32x f(x.y) =…

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Q: 4x Find the linearization L(x,y) of the function f(x,y) = e cos (3y) at the points (0,0) and0,

A: Answer is given below

Q: Find the length of the curves in Exercises 1-4. |1. y = (1/3)(x² + 2)³/2_from x = 0 to x = 3 2. y =…

A: Note:According to the policy of our company we will solve the first three sub questions. If you need…

Q: Solve the system of equations (only real solutions) by the elimination method. Check your solutions.…

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Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

A: Given Data: fx=x2+ax+b

Q: 2 5. Given cos a =- and tan ß =- 2 575BS7, determine the exact COs a value of: a) cos(a + B) and b)…

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Q: Find the net signed area between the graph of the function f(x) = |x +3| – 4 and the r-axis over the…

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Q: The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

A: As we know the surface area of the cube is; S=6a2                            ...(1) Where 'a' is the…

Q: Find the Taylor polynomial of order 3 generated by f at a.   ​f(x)=x2​, a=9

A: Use derivative and taylor polynomial got finding the unknown

Q: Determine the sum of this convergent series.

A: This question can be solved using the concept of infinite geometric progression.

Q: (1) lim (In ) = z (x1 (j) lim rsin z x→0+ sin 2x + 2 arctan 3x + 3x2 (k) lim x→0 In (1+3x + sin? x)…

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Q: cos 0 tan 0 + sin 0 Express as a single trigonometric function of 0. cos 0

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Q: A 15-foot ladder is leaning against a wall. If we pull the ladder away from the wall at a rate of…

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Q: Q5: S x dx ajconverges to 1 bjconverges to cconverges to- 4. d)diverges 25-2

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Q: Find the arc length when y = 2 ln(sin ) and /3 << x < T. %3D

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Q: Find the nth Maclaurin polynomial for the function. f(x) = sin(x), n = 6 Po(x) =

A: nth Maclaurin polynomial for the function f(x) :       Pn(x) = f(0)+f'(0)x +f''(0)…

Q: Evaluate: 1) [x.e*c

A: We will solve the integration using integration by parts.

Q: Select the correct answer. The graph of the function fx) = x3 defined over the interval [0, 1] on…

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Q: Find the area of the triangle having vertices at (−2,3,1),(1,2,3) and (3,−1,2)

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Q: . Use L'Hospitalľ's Rule to evaluate lim t In 1+

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Q: Find and sketch the domain for the function. f(x.y) = / (x - 9) (² - 4) Find the domain of the…

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Q: 7. The sides of a square are measured to be 4 in, with a possible error of = (4) in. Estimate the…

A: We have to find the possible error and rate of change.     According to our guidelines we can solve…

Q: a) y = x? e-X

A: We have to discuss properties of the graph

Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. You must show your work.…

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Q: Write the Maclaurin series for f(x) = 2x²e-8x as E Cnx". n=0 Find the first six coefficients. Co=…

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Q: Find the derivative of the function at Pn in the direction of A. f(x.y.z) = xy + yz + zx, Po(2, - 2,…

A: The  derivative of f at the given point is given below.

Q: If the 6th term of an arithmetic sequence is 63 and the 14th term is 135, write the formula for the…

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Q: Solve the equation on the interval 0<0<2n. 4 sec 0 +6 = - 2 What are the solutions in the interval…

A: Given, 4sec theta +6=-2 0&lt;=theta&lt;=2pi

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Q: If on V = R² define the usual scalar multiplication « (x, y) = (« x,x y) , and addition (x1, Y1) +…

A: Concept: Vector space: Vector space is defined by the associative and commutative laws of vector…

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Q: What are the direction numbers of a line given by the parametric equation:  x=6+t,y=5+4t,z=1−2t

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Q: The interval of convergence of the power series x2n Σ (-3)" n=1 is:

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Q: 24 – 49 dy 2+ 49 с.

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