Evaluate (if possible) the sin

Q: O Find dyldx if y = x In(x).

A: Given query is to find the value of the derivative.

Q: A contour map is shown for a function fon the square R- (0, 2) - (0, 2). 46 56 48 WebAssign Plot 30…

A: We need to estimate values.

Q: Find exactly T() and N() for x- e'cost, y = e'sint, 2- e' for : - 0. [Choose the correct answer.)…

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Q: Describe the graph of the equation. r= 18 cos ti - 9 sin tj - O tis an ellipse in thez = 1 plane,…

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Q: A retail company estimates that if it spends a thousands of dollars on advertising during the year,…

A: Explanation of the answer is as follows

Q: Joann took 20 minutes to drive her boat upstream to waterski at her favorite spot. Coming back later…

A: This question can be solved using the concept of speed,time,distance and relative speed

Q: Q "- The value of e-(in+1)n is а) (-1)" e-я-1 b) (-1)"e" c) (-1)" e-*+1 d) (-1)" e- Q2 The period of…

A: e-ix = cosx -i sin x If y=A sinBx then period -2πB.

Q: šin(3x) Find the area bounded by the curve y = ,0 <x<T/3 and the line y = 0 as shown 2+cos(3x) in…

A: This question can be solved using the concept of area under curve.

Q: If f(x, y) = -x³ +y - 3xy + 9x2 +y, then in the of obtaining its critical points we obtain the…

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Q: Given the functions f(x) = . x + 2 and g(x) = x², determine all values of x for which Ag(x)) =…

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Q: 2. Let R(t) = sin 4t î – bcos"(21) j + 2t k. Find the moving %3D trihedral of the curve of R(t) at…

A: Given

Q: An open-topped storage box with a square base has a capacity of 5 m3. The material for the sides…

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Q: f(x) = x³ + 12x2 – 27x + 5 over each of the indicated intervals. (a) Interval = [-10,0]. 1. Absolute…

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Q: Jse a graphing calculator to construct a table of values and a graph for the first 10 terms of the…

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Q: 2以 (3) e dy+ 2(yeーめdx=o Sinx dy Casx)y=tanx

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Q: For The following data, the best fit line is: X 2 Y 12 10 12 3 r will be - 0.987 r will be positive…

A: Explanation of the answer is as follows

Q: Consider the integral / 3x* (25 + 1) dz. In the following, we will evaluate the integral using two…

A: ∫ 3x4x5+1dx=3·∫ x4x5+1dx=3·∫ x9+x4dx=3∫ x9dx+∫ x4dx=3x1010+x55Add a constant to the…

Q: (3) In 2014, the United States Postal Service charged $0.48 to mail a first-class letter weighing up…

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Q: Find the first term and the common difference. 3 7 9. 2, - - 2' 4 ... 4 a, =], d=D %3D (Simplify…

A: Given query is to find the first term and common difference.

Q: Write expression log z14 as a sum or difference of logarithms with no exponents. Simplify your…

A: Given query is to expand the logarithmic expression.

Q: 03 Evaluate J (3-2x)5 using substitution

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Q: Quesion IS The graph of f(x) is given below and F() = f(t) dt. -2 Find F(4). a) O 12 b) 06 c) O d) O…

A: Given problem:-

Q: | 121 – 51" +9 dt = +C.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 1. [0, 3). Find the area between the graph of y = x and the x-axis over the interval

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Q: 7.4 Partial Fractions 11.10 Taylor and Maclaurin Series Find the Taylor series for f(x) centered at…

A: We are given f(x) = 8x - 3x3 We have to find taylor's series expansion of f(x) centered at a=-2 and…

Q: Question 9 > A 25-year-old woman burns 800t cal/hr while walking on her treadmill. How many calories…

A: Solution: Given  Function of calories are  burned= 800t cal/hr  So for 3 hrs  t=3 So calories burned…

Q: Compute the given integral. ICOS Idz +C

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Follow the procedure given below.

Q: derivatives

A: We will solve the 2 problems.

Q: f(x, y) = /32² + 3y fz(4, 5) = VT23 %3D

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Q: Determine the vector equation and the Cartesian equation of the plane tangent to the surface: z = x3…

A: The given equation of the surface:z=x3-y3which can be written as fx,y,z=0, wherefx,y,z=z-x3+y3.We…

Q: A rectangular garden is to be fenced in next to a garage so that fencing is needed on three sides…

A: Let the dimension of the rectangular garden be:                             Length=L and Width=W…

Q: Find a gradient of the equation: F(x, y) = y + x³ – ay? + 3 %3D VF =?

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Q: 3x - - 4y 2xy 96

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Q: Assume that you are given a set of points and you want to find the regression line for this data. In…

A: Given linear system is Xa=Y is having no solution. Suppose that X be f by g, where f&gt;g. X is full…

Q: Find dy/dx by implicit differentiation and evaluate the derivative at the given point. x3 + y = 6xy…

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Q: Find

A: We will find the derivatives.

Q: 6 lim | 3 x² – 32 X+3 X - Enter I for oo, -I for -00, and DNE if the limit does not exist. Limit =

A: We shall find left hand limit first if it doesn't exist then limit not exist, if exist and finite…

Q: Q2\Find the point at which the tangent to the curve y = v4x2 + 1-2 has its slop 2

A: Given: y=4x2+1-2 Slope = 2 We know that slope of tangent to a curve y is defined as dydx

Q: 7. Find the derivative of In y + exy? ey sin 2x. %3D -

A: Here, the given implicit function is: ln y+exy2-ey=sin 2x...(1)

Q: Determine the principal P that must be invested at rate r= 3%, compounded monthly, so that $500,000…

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Q: A woman wants to construct a box whose base length is twice the base width. The material to build…

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Q: b) The sum of the first 15 terms of the sequences 7,-14, 28, –56, 112,..

A: We have to find out sum of 15 terms

Q: 0 (x-2)k 2k=1 Vk 00

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Q: Suppose log ,2 = a and log ,3= c. Use the properties of logarithms to find the following. log b…

A: Now,                logb1728b=logb1728+logbb=3logb12+logbbUse logbb=1.=3logb12+1

Q: Write down the solution of the differential equation: y +4y +3y x2 -5x +4 if y(0) = 0 and y (0) =1

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Q: Determine whether E1(-1)" sin n3 is absolute convergent, conditionally convergent, or %=D1…

A: We have to find the series test

Q: 4. For each series determine if it is convergent or divergent. Give reasons for your answers. (-3)*…

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Q: 5) Verify that the hypotheses of the Mean-Value Theorem are satisfied on the given interval, and…

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Q: dy Using the product rule for the dx function y = e3" sin x is equal to

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