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Q: Give two Combined Variation example problems and their solutions

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Q: Find the vector component of v = (4, – 1, 7) along b = (1,4, –8) and the vector component of v ortho...

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Q: 2. Determine the exact value of f'(2) for f(x) = (2e³ + 3e-6x)5.4,

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Q: How to find the antiderivative Integral 13x cos (-3x + 1) dx

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Q: Sketch the region enclosed by the given curves. y = 3x, y = 3x

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Q: Find the derivative of the foll owing functions. Show complete solutrons, including trigonometrie id...

A: As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x   And ddxcoshx=sinhxddxtan...

Q: x=r' +1, y=r -t d'y b) Find dx?

A: Given: x=t3+1y=t2-t To Find:  To find d2ydx2.  

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

A: We have to evaluate the integral                                                  ∫dtt2-12t+40

Q: Let f(x, y) = 4x² + y². Using Lagrange Multipliers, how many critical points are there for f subject...

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Q: Evaluate the following Integrals: 1. J 6x2 sin x³ dx J sec 3x tan 3x cos (sec 3x) dx 3. S у csc3y? c...

A: The objective of the question is evaluate the indefinite integrals.

Q: A rectangular lot is to be fenced in using two different kinds of fencing. Three sides will be  fenc...

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Q: Cértain chemotherapy dosages depend on a patient's surface area. According to the Mosteller model, S...

A: Find your answer below 

Q: 3. Ranie makes monthly deposits at Php1,500.00 into his savings account that earns interest at 1.5% ...

A: Find your answer below 

Q: cos 4x 2 dx sin4x 5.

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Q: Use the fact that the volume of a tetrahedron with adjacent edges giv by the vectors u, v and w is 1...

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Q: 1/4 1. Find all the values of 3

A: The given number is: i-3314 Now, i-33=-13+i3 Let, -13+i3=rcos θ+i rsin θ⇒rcos θ=-13 &  rsin θ=13...

Q: 18) Find a + b, 2a + 3b, |a|,  and |a - b|.  a = 2i - 4j + 4k, b = 2j - k

A: The objective is to Find a + b, 2a + 3b, |a|, and |a - b|.

Q: Find the dx/dy of 2x² + 4y² = 4.

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Q: Consider the following function. f(x) = x5 – 2 (a) Find the inverse function of f. f-1(x) = %3D

A: The given function is f(x)=x5-2 we have to find the inverse of the function of f. f-1(x)=?

Q: Sketch the region bounded by the given curves, then find the centroid of its area. 1. y = 12 – 3x2 ,...

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Q: Question 3 Evaluate the integral. 25 cot2x dr sin 2x Solutiont

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Q: Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2x). (Enter your answe...

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

Q: ax +b, if15メ<2 Find the values of a and b so that the following function is continuous evergwhere- x...

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Q: (2+ 5sec(e3*)tan(e3*) dx

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Q: Find the derivative of the following including trigonometric identitier functions. Show complete sol...

A: h = sin-x here we apply chain rule dh/dx = (1/2sin-x)*(1/1-x2) dh/dx = 1/2sin-x*1-x2   y = k2sin-(x/...

Q: • For numbers 1-4, use the given figure below to determine the limit and function values. (W DNE if ...

A: Topic = Limits As per guidelines , At  a time only three sub-parts can be answered. please repost fo...

Q: Given u(x, t) = t-²e¯, 2 , compute:

A: We can find the required answer as below.

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in...

A: Given: R(x)=10000-x3+45x2+700x, 0≤x≤20

Q: n³ x xp- ec x

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: a1/ Find the missing term in the following table using interpolation: 2 3 4 y: 3 SI

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Q: (m2 + 1) yy = 1 O = 2V +1+C O = 2tan- (z) +C O = tan (a) +C O y = Va +1+ C

A: Given query is to find the solution of the differential equation.

Q: For x²y = y³x + 5y + x, find dy/dx by implicit differentiation.

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Q: Find the amount of water in the tank if.. (a) 7,100 gallons of water in a tank drains out at a rate ...

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Q: Find a polynomial of degreen that has the given zero. (There are many correct answers.) Zero Degree ...

A: Given query is to find the the polynomial of the degree three and zero at 9.

Q: 9) In a local art museum, a moving spotlight projects geometric figures on the wall in front of it. ...

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Q: 4. Calculate the following integrals: 4 3 dx 1 – x2 dz 25z2 + 1

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Q: J E1 = (J – 2) i = 3

A: This question can be solved using the concept of series.

Q: Evaluate lim x? (e - 1) using series . X00

A: We know that ex = 1 + x + x22! + x33! + ⋯

Q: Find the angle 0 between the vectors in radians and in degrees. u = 9i + 5j + k v = 5i - 9j (a) radi...

A: In this question, we need to find the angle θ between the given two vectors.

Q: Evaluate using Pascal's Triangle. a.)  4C3   b.)   (7 5)

A: follow next step

Q: Determine the value of the arbitrary constant of the antriderivative of F(x) = x<In(x) given the ini...

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Q: Determine whether the function f is continuous at x = c. If f is discontinuous at x = c, determine i...

A: Given query is to find that function is continuous or not at given point.

Q: *B: %3D A 3. B[ 2 3

A: Find your answer below 

Q: Use the given graph of the polynomial function to complete the following. (a) The x-intercepts are (...

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Q: II -A(0, a) -K(-a, 0) - T(a, ó) Τα, 0 ) : II 3. Given an equation of a circle, determine how to find...

A: Equation of tangent line of a curve f(x,y)=0 at a point (x,y)=(a,b) is given by, y-b=f'(a,b)* (x-a)

Q: -3x + 4 a) lim x-2- x2 - 4 x2 b) lim x-3* x2 + 2x – 15 2x4 + 5x3 - 2х- 3 9x + 10 c) lim 5x7 + 2x6 – ...

A: a) limx→2--3x+4x2-4=-3(2)+422-4=-6+44-4=-20=-∞limx→2--3x+4x2-4=-∞

Q: Evaluate the double integral / F(r, ®) dA. "* (3 cos(8) r dr de Sketch the region R. 7/2 A/2 2 1 2 2...

A: To evaluate the given double integral: ∫0π∫03 cos θr dr dθ

Q: Consider the parallelepiped with adjacent edges u = 8i + 2j + k v = i+j+ 2k w = i+ 3j + 4k Find the ...

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Q: Find the volume of the solid. y=9-x2, y=0, about the x-axis

A: y=9-x2, y=0, about the x-axis here  put y=0 0=9-x2 x = +3 or -3 volume V = ∫-33 2πxydx V =∫-33 2πx(9...