Given the function graphed below, evaluate the definite integrals. - 4 3 یبا 3 2 1 -1 -2 3 [' = f(x) dx = 9 ين f(x) dx = 2 Test 7

Q: Find curl (62 i + 7x j + 2y k). curl (62 i + 7x j + 2y k) = (i )k )i + (i )j + ( i

A: Here we have to find the curl.

Q: Graph each function and its inverse relation on the same set of axes. Determine whether the inverse…

A:

Q: 2. The table shows values of the function y = G(t). Use the table to estimate the value of 50…

A: Physical significance of integration is calculation of area under the curve. Here discrete values at…

Q: The weekly marginal cost of producing x pairs of tennis shoes is given by the following function,…

A: The weekly marginal cost of producing x pairs of tennis shoes is given by the following​ function,…

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Given that,            The solid is obtained by rotating the region bounded by the given curves…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A:

Q: 1. Find the maximum value of f(x, y, z) = x + y − z subject to the constraint x² + y² + z² = 6.

A: f(x,y,z)=x+y-z   x2+y2+z2=6 Rewrite it as: x2+y2+z2-6=0 L(x,y,z,λ)=(x+y−z)+λ(x2+y2+z2−6) Find all…

Q: A 4-pound weight stretches a spring 2 feet. The weight is released from rest 15 inches above the…

A:

Q: Determine the points of discontinuity for the following. 2x+5 f(x) = X-7x+6

A: F(x)= (2x+5)/(x^2-7x+6) Factorise the denominator F(x) = (2x+5)/(x-1)(x-6) Denominator can not be…

Q: 1 *{{37² +3=6} S

A:

Q: Fill in the blank. (Enter your answer in terms of t.) 1 L²5² + n²π²

A: Let's solve inverse laplace.

Q: A dolphin dives down into the ocean and resurfaces along a path that is modeled by x² - 8x + 4y = 0,…

A:

Q: Use the graph to determine the intervals on r concave downward. 10 4 1.5 X 10 а.

A: Here we have concave upward and concave downward.

Q: If 0 ≤ an ≤ b, and Σb, diverges, then Σan diverges.

A: Let's solve.

Q: Use Definition 7.1.1. Definition 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

A:

Q: Determine the vector field of F. F(x, y) = yi-xj X X

A: Solution: F(x,y) = yi - xj We can sketch it by looking at a small number of vectors to get a general…

Q: The function f(x) = = The smaller one is x = 2x³36x² + 192x - 1 has two critical numbers. and the…

A: The given function fx=2x3-36x2+192x-1

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Solution of given question is written in below steps.

Q: 35. Choose the integral which represents the area between two curves given on the picture. 2- 1…

A: To choose the integral which represents the area between two curves given on the picture.

Q: Lucas is walking on a circular path modeled by the equation (x+6)² + (y-2)² = 36, and Neal is…

A:

Q: The age of an ancient artifact can be determined by the amount of radioactive carbon-14 remaining in…

A: Here the age A (in years) is given by, A=-8267lnDD0 It is given that the amount D of carbon-14 that…

Q: Question Find the linear approximation L(x) of the function f(x) (Enter an exact answer.) Provide…

A:

Q: If My - N N equation = Q, where is a function of a only, then the differential has an integrating…

A:

Q: If u = X + y+z a) 0 y 2+x ди + then the value of x x+y x b) 1 c) u d) None ax +y + ay +2 ди əz IS:

A: Question - 21 Given, u=xy+z+yz+x+zx+y To find, x∂u∂x+y∂u∂y+z∂u∂z Formulas used:…

Q: The partial sum-3+ (-12)+(-48) ++(-49152) equals > Next Question

A: Topic = Series

Q: Answer true or false. If L{f(t)} = F(s) and L{g(t)} = G(s), then ¹{F(s)G(s))} = f(t)g(t). True False

A:

Q: Which of the following is not a unit vector? 2 A. • (-3/35.0,-/) √5' √5 B. (cos 1, sin 1, 0) C. (1,…

A:

Q: 16.s) How long it will take for $39,440 to double if it is invested at 6.1% compound- quarterly?…

A: Topic = Algebra As per guidelines , At a  time only one question can be answered.

Q: Let f(x)= I Determine f'(x). sin² (³+1) dt, x= [1,1].

A: Given: f(x)=∫-xx2sin2(t3+1)dt

Q: A solid right circular cone is made of brass. The mass of the cone is 5080 grams, to the nearest 10…

A: Formula to calculate :-Density=MassVolumeVolume of the cone=13πr2hwhere r=radius of the base of the…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: inverse laplace transform

Q: Determine whether the series Σ=1 (Limit Comparison Test) 2n²+3n √5+n5 converges or diverges.

A: Given :∑n=1∞2n2+3n5+n5

Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then…

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 8x…

A: Given: y=8x arccos(x-1) and point (1,4π)

Q: Consider the following initial-value problem. y' - y = 2 cos(2t), y(0) = 0 Find {f(t)} for f(t) = 2…

A:

Q: Use the definition of Taylor series to find the Taylor series, centered at c, for the function. f(x)…

A:

Q: Solve the given initial value problem. 0x²y² + xy³ = 2 0x²y² + y² = 3 ○ xy² + xy³ = 0 Oxy²y³ = 1…

A:

Q: Determine if 4x² + y = -5 is an ellipse. O Not an Ellipse O Ellipse, we can write the equation of…

A: Here given that 4x2 +y =-5  now  4x2 = -(y+5) x2 = -(y+5)/4

Q: 21. If u = - y+z a) 0 Z z+x x+y b) 1 ди then the value of x + y + z 2 is: c) u d) None 22. The…

A:

Q: Tab Window Help ving Exponer X + -integrals-involving-exponential-and-log wolving Exponential and…

A:

Q: Find the first three nonzero terms in the Maclaurin Series of f(x)=e^x sin x

A:

Q: For the function f(x) = 3x2 −x3 − 4 where −3 ≤ x ≤ 3, complete the following. 12. State the values…

A:

Q: Calculate the indicated Riemann sum S3 for the function f(x) = x² - 8x - 48. Partition [0,6] into…

A:

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Given,           ℒ-11s2+1s2+25

Q: Sketch the region R of integration and then switch the order of integration for the following…

A:

Q: Screenshot (168 Screenshot (168 Determine whether the differential equation (2x² − 2xy + 3) dx +…

A:

Q: PART 2: Obtain the general solution dv V dP P Obtain the particular solution y' = 1 + y² such that…

A:

Q: 6. Use an integrating factor to solve the following first order differential equation (x² + 1) + xy…

A:

Q: 1 The volume of a right circular cone of radius a and height y is given by V = ²y. 3 when x = 6 and…

A:

Q: Solve: y" + 4y = x² + ex Yc=C1+C2_ Type the letter corresponding to your answer. Yp=A A_____ B с = A…

A: