Find the horizontal and vertical components of the vector with the given length and direction, and write the vector in terms of the vectors i and j. (Round your coefficients to three decimal places.) |vl = 9, e 10° V =

Q: cos x dx

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Q: Find the equation of the following hyperbola. Express your answer in standard form. Enable Zoom/Pan…

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Q: Evaluate the limit. Leave results in exact form. V9 + 7r2 lim 11 + 3x

A: This question is based on limits of inf/inf form.

Q: Find the curl of the vector field F=(2xyz, -xy,-z^2)

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Q: The total cost function for a product is C(x) = 750 ln(x + 10) + 1800 where x is the number of…

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Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

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Q: Suppose there is no known formula for g(x) but we know that g (2) = - 1anc; g^ prime (x)= sqrt x^ 2…

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Q: A. Evaluate the following integrals. dx 1. 5+x² dx V4-9x² dx x V16x2-25 dx 4. x2+4x+13 2. 3.

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Q: xp ( 14

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Q: How many terms of the Maclaurin series of f(x) = ln (1 + x) are needed to compute In(1.25) to within…

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Q: Simplify cos2θ*(1+tan2θ)

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Q: Find the total differential and total derivative. For the total derivative it is with respect m (or…

A: The objective of the question is determine the total differential and total derivative of the given…

Q: Find the derivative of the function. 4 f(x) x In(x) f'(x) %D

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Q: Evaluate the definite integral. e13' i+ e-j+tk )dt -1_ e13 – 1 (e-1 – 1) + 13 e13 1 + (e- – 1) j+ k…

A: We have to find the integral

Q: -5 5 10 -10 15

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Q: Y(s) S + 8 Use the Laplace Transform table to convert this function into f(t).

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Q: Find the volume of the solid that results when the region enclosed by 7x y = V1+ el4x' 0, x = 8, and…

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Q: dx V5+4x-x² 5.

A: We have to solve question  5

Q: 1.f a" da + C, for any real number n. n+1 O A. True ов. False

A: The solution is given below

Q: Find Ay for the given values of x1 and x2. 3x-7 :X= 2, Ax = 0.1 X-1

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Q: A poster is to have an area of 240 in2 with 1 inch margins at the bottom and sides and a 2 inch…

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Q: the

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Q: For the function f(x)= find f"(x). Then find f"(0) and f"(4). 10+X f"(X) = Select the correct choice…

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Q: (2x³+9)dx (x²+3)(x²-2x+3)

A: This is a problem related to partial fraction of decomposition and integration. Based on the general…

Q: dx V4-9x2 2.

A: topic - indefinite integral

Q: x=r +1, y=r -t uation of the tangent to the curve at tl Show all your work.

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Q: For the function f(x) = - e, find f'"(x), f''(0), f'"(9), and f"(-8). ... f"(x) =(Type an exact…

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Q: 6x if x 2

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

Q: II. Given the function g defined by g(x) = -* if x*-2 4. if x=-2 Find the value of the indicated…

A: at x=-2, function is defined as:g(x)=-4;       if x=-2ANSWER 14:g(-2)=4

Q: Let y(x)=1/x+3 Estimate the slope of the tangent line of y(x) at the point x=1.

A: Given query is to find the slope of the tangent.

Q: 4x 20. Write log2 assthe sum and/or difference of ² - 3x - 18 logarithms. Express powers as factors.

A: The given logarthim expression,       log24x3x2-3x-18

Q: metal cube dissolves in acid such that an edge of the cube decreases by 0.48 8mm / min. How fast is…

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Q: Approximate the area under the graph of f(x) 1 over the interval (0, 4] using five rectangles. x +1…

A: Let's find.

Q: (3 lin X > otleax

A: Solving limit

Q: Evaluate the following limit and show the complete solution

A: Given limit is in the form of 0/0

Q: Evaluate the limit, if it exists. If not, enter "n" below. x2 - 4x - lim x→-1 r² 3x – 4 - -

A: We have to find limit

Q: D Determine where F(x) = ax' -3x -ax is concave up and concave down.

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Q: The Pacific halibut fishery has been modeled by the differential equation dy dt where y(t) is the…

A: dydx =ky1-yM⇒y' =0.72y1-y9· 107⇒y=-90000000e0.72t+c11-e0.72t+c1

Q: Question 2 Given the function of two variables f(x,y) = 8x2+6xy +4y2+5 a) Find the gradient vector…

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Q: 2. Scos'xsinx dx cos’xsinxdx

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Q: 1. S(In x)² dx

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Q: Please, solve 1(d) & (e), 2 only

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Q: The area of a circle increases at a rate of 6 cm2/s. a. How fast is the radius changing when the…

A: Given that the area of a circle increases at a rate of 6 cm2/s .

Q: Use the first derivative test to determine the location of each local extremum and the value of the…

A: Solve the following

Q: What is the area of the region between the graphs f (x) = 3x – x and x – axis from x = 0 and x = 2 2

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Q: (20,400) on the function y = x². Find the ratio Ay/Ax for Suppose that we choose the point P = each…

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Q: Consider the following. t = − 4?/3 (a) Find the reference number t for the value of t. t =    (b)…

A: We have to find the reference no t and terminal point determined by t.

Q: Answer 1 only. Upvote if it is typewritten.

A: We have to find the integral

Q: 7. A spherical balloon has a circumference of 25 cm. a.) What is the approximate surface area of the…

A: Surface Area of sphere=4πr2  volume of sphere=4/3πr3 According to guidelines we solve only first…

Q: If the marginal revenue (in dollars per unit) for a month for a commodity is MR = -0.6x + 43, find…

A: Given query is to find the total revenue function.