Using sigma notation, write the expression as an infinite series. s(²2) + s(3) + cos(7) + Σ( n = 1 cos(1) + cos( + cosl

Q: The domain of the function f(x, y) 3xy 2+√4x2+y2-16 is:

A: Given :fx,y=3xy2+4x2+y2-16

Q: At value of a does the curve y = 2√4x2+1 have a tangent line with a slope of 2? O √12 00 O /12 O…

A: To find the slop at given point.

Q: Use integration by parts to find the indefinite integral. (Use C for the constant of integration.…

A:

Q: Use an appropriate test to determine whether the series converges. 1 2 3 26² 27² 28² By the + + +…

A: According to question,Given series,1262 + 2272 + 3282 + ........

Q: Question An equation of the plane passing through A (1, -1, -1), B (1,0,2), and C (-1,-1,-5) is:…

A:

Q: Evaluate the integral using the following values. [³x³ dx = [²x dx x³ dx = 1,020, Lºx dx = 30, [³dx…

A: use the property of definite integral.

Q: Question 44 Which of the following sets of numbers corresponds to the set of all critical numbers of…

A: Solve the following

Q: Refer to the graph of function f below? What is the lim f(x)? x-2+ -10 -5 10 -5- 0 -5- -10 5 10

A: From the given graph, we have to find the value of limx→2+fx

Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x − 3 _ y + 1 4 2…

A:

Q: 22. Use the Rational Zero Theorem to help you solve the polynomial equation 2x17x³ +46x²-43x + 12 =…

A:

Q: [x² - y² If f(x,y)=2x-2y m if y = x if y=x then:

A: Given the function,   fx,y=x4-y42x-2yif y≠xmif y=x

Q: dy 5 Find dx 2 tan (x-Y) = 6+x²

A:

Q: S sin² 2xcos² 2xdx

A: This question is based on indefinite integral using Trigonometric formula.

Q: Given: g (x) 2x³ 3x² 12x + 13 At what value of a does g have a relative maximum value? 0 6 00 0-1 O…

A:

Q: Consider the following all-integer linear program. Max 1x1 + 1x2 s.t. 5x1 + 7x2 ≤ 37 1x1 + 6x2 24…

A: As per the instruction, we will be answering the first one. Kindly post again for others. Given:

Q: A police car traveling south toward Sioux Falls, Iowa, at 160 km/h pursues a truck traveling east…

A: Using the Pythagoras theorem for the figure: Let, z be the distance between two vehicles. We have:…

Q: and x = = z = e-22 In (2-y), Select one: O True O False - 6t, y = t-s, then the value of 3 is equal…

A: In this question we have to find whether the given statement is True of False.z=e-2x…

Q: Find the general solution of the following differential equat 121y" - 4y = 0 NOTE: Use c₁ and c₂ as…

A: Given: 121y''-4y=0

Q: The area of the region enclosed by the two curves y=x²-4 and y = x - 4 is given by

A:

Q: ZOOM Find the following for each problem: a) domain, b) x-intercept(s), c) y-intercept, d) vertical…

A: According to our guidelines, we can answer only one question or three subparts of a question. Other…

Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

A: We have to find the area of rectangle increasing

Q: A rectangular tank with a square base of 2 meters and a height of 4 meters is half filled with…

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Q: Determine the vector equation that represents the curve of intersection between the cylinder 2¹² +…

A:

Q: The range of the function f(x, y) [1/3, +00[ This option None of these This option ]- 00, 1/3]…

A: Here, the given function is: f(x,y)=13+x2+y2

Q: Question 21 The slope of the tangent line to the curve at the point where x = = is 00 O DNE O +1 0-1…

A:

Q: 1 0.101 1 X Use linear approximation, i.e. the tangent line, to approximate as follows: Let f(x) the…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and we want to…

Q: 1 . Find the arc length for y = √√2-x² for 0 ≤ x ≤ √√2. Check your answer by noting that the curve…

A:

Q: Problem 1 Let = (1,2,3), 7=(2, 2, -1), and =(4,0,-4). Find 27+ 4-w. Problem 2 Let = (1, 2) and =…

A: To express vector v as a linear combination of u and w.

Q: Determine the area of the shaded region given in the following figure. The area of the given figure…

A: We have to find the area

Q: 8. Find the first two non-zero terms of the Taylor expansion for function f(x)=sin x and a given…

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Q: 1) Evaluate the integrals: (a) f sin³ (2x) cos (2x) dx (b) sin³ (2x) cos (2x) dx

A:

Q: dy What is if the function y = f(x) is implicitly defined by the equation 5x + 3y² = 4y + 2x² - 5?…

A: For implicit differentiation , both sides of the equation are differentiated simultaneously.

Q: 4. Graph the equation: f(x) = -3, 4, 1/² x + 1²/₁ x<-2 -2 ≤ x ≤ 1 1 < x≤ 4 -3 - 5+ 4+ 1 + 3+ 2+ 1…

A: f(x) = -3 , x &lt; - 2 x -3 -5 -7 f(x) -3 -3 -3 f(x) = 4 , -2 ≤ x ≤ 1 x -2 0 1 f(x) 4 4…

Q: 1. Find the domain of the vector function r(t) =

A: 1. Given Vector Function,rt = lnt+2, t1-t2, 2tt2 -4

Q: 1 x xy 14. JJ j dz dy dx 0x²0

A: We can find the value of the integral.

Q: Một chuyển động có phương trình: R(t) = (3 sin(3t))i + (3 cos(3t))j + 3tk. Một vector tiếp tuyến với…

A: Solution ) R(t) = (3sin(3t) i + 3cos(3t)j + 3t k Differentiate with respect to t  R'(t) = 3…

Q: Evaluate L 8y (x³ + 1)² 2y by reversing the order of integration. dady

A:

Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

A: we can find the particular solution.

Q: H III mmm WEDNE UNE CUNE . . ON 1 rs is equivalent to the yo

A: Given vector  Initial(0,0) Final(2,3) v= (2-0,3-0)= (2,3)

Q: 4. Graph the equation: f(x): = 1, -2x + 4, -2, -3≤x≤0 0 ≤ x ≤ 3. x > 3 -1 5+ 44 3- 2+ +1 -1- -24 -3-…

A: This is a graph of piece wise function

Q: 4. ff 3 dx dy 0 y

A:

Q: Find the value of the limit lim 01 0 0 O DNE x3 x+0 x³ + x2 < Previous

A: On solving this we will get

Q: A spherical rubber balloon is inflated with air. The volume of the spherical balloon of radius r…

A:

Q: Use the method of undetermined coefficients to solve the initial value problem. O y y = y = y = 33…

A:

Q: How did you found x and dx? I 'm lost in that part

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Q: I dx x√x² - 64

A: we will solve integration by substitution.

Q: Given a continuous function of which is twice differentiable, if f" (c) > 0, which of the following…

A:

Q: r(t) = ti + (2tt2) intersect the paraboloid (2) At what points does the curve r(t) z = x² + y²?

A: We are asked to find the intersection point.

Q: Equations with the Dependent Variable Missing For a second-order differential equation of the form…

A:

Q: For each polynomial function below, indicate the degree, the leading coefficient, and the end…

A: Given :1. fx=-3x4+2x3-8x2+112. fx=8x3+x2+7