Graph the region bounded by r= 6cos3θ

Q: Find k such that the line is tangent to the graph of the function. Function Line f(x) - kx y = Sx +…

A: The line is tangent to the given function then , there are two conditions :(1)  The function and the…

Q: 2 sin 3at where a is any positive constant and s > a.

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Q: The function 3 y = -e 5 is a particular solution for the nonhomogeneous differential equation y" + y…

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Q: Q.2 A= i-3j - 2k B = 31 +5j +7K Find the fallowing For the tuwo Vectors: %3D (choose Soaly). O BÁ…

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Q: Lhe y-axIS. a = 10 b = 2 y=ax(x- b Sketch a typical approximating shell. (Do this on paper. Your…

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Q: Evaluate the definite integrals using the graph of f (x) below. 6- 4- 2- 4 6. 10 12 -2- -4- -6 3 (a)…

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Q: Find the derivative of the function. y = 4t   t + 7 y' =

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Q: Consider the following function. f(x) = |x - 3| %3D Find the derivative from the left at x = 3. If…

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Q: 15. Suppose you start at the point (0, 0, 3) and move 5 units along the curve x = 3 sin t, y = 4t, z…

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Q: 2t 3t – 1 Verify the product law for differentiation, (AB)' = A'B + AB' where A(t) = 13 1 and 1-t…

A: To verify the product law for differentiation, AB'=A'B+AB' where, At=2t3t-1t31t and Bt=1-t1+t2t25t3.

Q: Suppose f( – 1) = 2 , f'( – 1) = 3 , and g(x) = r'f(x). The tangent line to g(x) at z 1 is given by…

A: As we know that; The slope of the tangent line to the given curve is equal to the derivative of the…

Q: Exercise 1. Express the limit as a definite integral on the given interval a) lim T? cosxi Li=1' Ax,…

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Q: 30 P 28. A person stands 30 feet from point P and watches a balloon rise vertically from the point,…

A: Topic:- trigonometry ratios and application of derivatives

Q: show me the examples of using the keyword typedef to define a name as a synonym for a data type?

A: answer is in next step

Q: Find an equation of a line that is tangent to the graph of fand parallel to the given line. Function…

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Q: Find the net area and the area of the region bounded by y = 11 cos x and the x-axis between x= - and…

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Q: 10 Find the derivative of: -4x/4_ 5x Do not simplify negative exponents

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Q: The term a29 of the sequence {a,} given by 4 7 10 13 4'5' 6'7 is 91 33 Select one: O True O False

A: We have to find a29 term.

Q: Find the taylor series being centered at the given values of a (use the known n series) f(x) =…

A: To find the taylor series being centered at the given value of 'a'.fx=x-35-xa=3

Q: 0. Find the dimensions of a rectangle of maximum area that can be inscribed in a circle of radius 4…

A: Given:     radius ( r ) = 4 cm

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: A company produces x units of a product per month, where C(x) represents the total cost and R(x)…

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Q: 19. Suppose that the normal unit vector N of a surface S at z =f (x,y) is determined, how does the…

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Q: Find the marginal profit for producing x units. (The profit is measured in dollars.) P = −0.3x3 +…

A: Find your answer below

Q: Determine the magnitude of the complex number, X. X = 5 + -9j ---------------------       x=5+…

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Q: 1 4. ,2x+7

A: Note: As there are three different questions, according to policy of our company we will solve the…

Q: Use the function f and the given real number a to find (f1)(a). (Hint: See Example 5.) X + 8 f(x) =…

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Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 00 2-1)nn…

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Q: y=ln|sec3x + tan3x|

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Q: 1 31 41 В' 25' 32

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Q: Given: 3a – 6x + 2y + 8y- 1= 0. Identify the conic and give its foci.

A: Follow the procedure given below.

Q: Find the radius of convergence, R, of the series. E 5(-1)^nx" n = 1 R = 1 Find the interval, I, of…

A: We have to find radius and interval of convergence.

Q: Approximate the sum of the series by using the first six terms. (See Example 4. Round your answer to…

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Q: -2n f) S“ cos 2x dx g) S et² t dt h) S x sin(x²) dx

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Q: 3) Explain why a triangle ABC is not possible if B = 39.8°, a = 12.5, b = 7.31.

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: f(x) = e2x

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Q: Fit a second-order polynomial to the data in the kollowing daha- 0|12/31415 yi 2.17.713.6|272 40.9…

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Q: Use Properties of Tangents 1. Draw two circles that have no common tangents. | 2. Draw two circles…

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Q: Part 4 of 8 Since we want the portion of the sphere which is above this circle, we return to the…

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Q: separate šhëët. 1. Find the equations of the tangent and normal lines to the curve y = x² + 2x + 3…

A: As per Bartleby guidelines rule I am answering only first question as other questions are not the…

Q: The revenue R (in dollars) from renting x apartments can be modeled by R = 2x(600 + 34x − x2). (a)…

A: R(x)=2x (600+34x-x2)R(x)=1200x+68x2-2x3(a)Marginal revenue= R'(x)Differentiate R(x)…

Q: Solve the problem. Find the number of units that must be produced and sold in order to yield the…

A: Profit function:P(x)=R(x)-C(x)P(x)=4x-0.01x2+0.6x+40P(x)=3.4x -0.01 x2 -40

Q: If a, > 0 and -0 an is convergente then E(an)"2 is also convergente Select one: O True O False

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Q: As the biologist for a certain crocodile farm, you know that its carrying capacity is 20,000…

A: In order to solve this problem we need to use the given formulae.

Q: The intensity L(x) of light x feet beneath the surface of the ocean satisfies the differential…

A: Solved below

Q: Think of four random integers q, r, s, and t selected from 0 through 9. Let a1 = 0.qrst, where q, r,…

A: let as consider four integers q,r,s,t from 0 to 9 then we get a1=0.qrst=0 now if we select four more…

Q: Find the length of the curve, L. y² = 64 (x + 1)° , 0 0 L =

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Q: Consider the surface defined by the equation z2 = 2x² + 4x - 6y? - 2y+ 1. %3D Find a set of…

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Q: Find the normal line for the level surface f(x,y,z) = 3x3 + cos (2y) + ln (2z) = c at the point…

A: f(x,y,z)=3x3+cos(2y)+ln(2z)-c=0Fx=9x2 , Fy=-sin(2y) , Fz=12z×2=1z∇F =<Fx,Fy,Fz >=<9x2,…