] 1 1-x² dx = tan¹(x)

Q: Evaluate the indefinite integral Scos (x) √9+25 sin* (x) dx

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Q: A 75-lb weight hangs from a string as shown in the figure. Find the tensions T₁ and T₂ in the…

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Q: Find the volume of the indicated region. the region bounded by the coordinate planes and the planes…

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Q: Find the arc length parameter along the curve from the point where t=0 by evaluating the integral s…

A: Given curve that r(t)=(etcost)i+(etsint)j+etk,     -ln4≤t≤0

Q: Apply the ratio test to the following series. a. Compute the ratio and its limit. Simplify the…

A: Given: ∑n=1∞ nn2+9

Q: with

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Q: Television Viewership The number of viewers of a television series introduced several years ago is…

A: Given,             The number of viewers of a television series-introduced several ago is…

Q: The population of a town has been growing, where t is years after 2010. The number of restaurants in…

A: Population P = 800t+3500 Restaurants R = 7t+20

Q: Use Gauss-Jordan row reduction to solve the given system of equations. (If there is no solution,…

A: We have to solve the given system of equations using the gauss elimination method.

Q: Find the partial derivatives indicated Assume the variables are restricted to a domain on which the…

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Q: Find the derivative of the function by the limit process. f(x) = x² + x - 4 f'(x) =

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Q: ex f(x,y) = (4x-X ахду d³f dx dy d x 3 of dx²dy mark X8 t C

A: Given:   f(x,y) = (4x - y)7

Q: MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Evaluate the surface integral 1/² F. n dA, where F(x, y,…

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Q: Solve the equation. (2x³ + xy)dx + (x³y³ -x²)dy=0 An implicit solution in the form F(x,y)=C is =C,…

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Q: Find the volume of the region bounded above by the paraboloid z = 10-x² - y² and below by the…

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Q: B. The inverse function of f will have a domain of R and a range of (-/2, л/2). Explain.…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Use the Integral Test to determine whether the infinite series is convergent. dx = n=3 a. To perform…

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Q: Find the slope of the tangent line to the curve defined by 6x³ The slope of the curve at the point…

A: 6x3-xy+2y4=880  at point(4,4)d dx(xn)=nxn-1d dx(a.b)=adbdx+bdadxd dx(constant)=0

Q: - 9x - 24 (x + 4)(x + 1) Evaluate ·S -dx + C

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Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

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Q: Evaluate the indefinite integral [sir sint cos³ tdt = + C

A: I=∫sin6tcos3tdtwe know sin2t+cos2t=1∫tndt=tn+1n+1+cd dx(sinx)=cosx

Q: Determine if the series converges or diverges. Give a reason for your answer. 2n n=1 3n-4 O The…

A: Given: ∑n=1∞2n3n-4

Q: 1. Given the equation: 1 1 += 1 x y ×IP (1) (a) Find by applying implicit differentiation in eq (1).…

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Q: Find y" if y = (1+1)²+√√t when t = 1. a. 3.5 O b.2.25 O c. 2.25 O d. 1.75

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Q: 2. The volume of a sphere with radius r is given by V = 4 3r³ (a) Take derivatives of both sides…

A: Volume of a shpere with radius r is given by V=43πr3

Q: Suppose an oil spill in the ocean formed a circle and was growing at a rate of 57 feet2/minute. When…

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Q: JO/DUP sjajaweed aun buisn jamsUp inox ssaidxa uapuadan ways's aun IT 'NOU 8T = 19 - XST 9 = 12 - XS…

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Q: Consider the following vectors. (5, 6, 1), (-1, 1, 0) Find the cross product of the given vectors.…

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Q: Consider following parametric equations for a curve. x = e cos(7t), y e -7t sin(7t), z = e-7t -7t…

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Q: For what values of x does the graph of I have a horizontal tangent? (Use as your integer variable.…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.…

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Q: A company's total cost, in millions of dollars, is given by C(t) = 100-50et where t is the time in…

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Q: B. Applying your result from 2D above to the result from Part A immediately above, it follows that…

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Q: Success Paid Rs. 2,100

A: yes

Q: Let g(x) = ſº tº dt. Evaluate: X a) g'(x) b) g' (2)

A: We have to find the derivative.

Q: Calculate the following integral: Sx² ln(-10x) dx Upload Choose a File

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Q: 36. Find the surface area of the part of the cone x² + y² = between the planes z = and 2 = 5.

A: Here we have to find the surface area of the part of the cone x2+y2=z2 between the planes z=2 and…

Q: Use a graphing utility to complete the table and estimate the limit as x approaches infinity.…

A: Given: Here,

Q: Evaluate the iterated integral. 1 [² f'xer³ dxc 0 0 dy

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Q: Find the cross product a x b. a = ti + cos(t)j + sin(t)k, b = i sin(t)j + cos(t)k Verify that it is…

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Q: dy Choose the expression equal to dx (Use implicit differentiation.) if sin(xy) = x²

A: Topic = Derivative

Q: Evaluate the indefinite integral Ssec² (x) dx

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Q: Find y' where y where y = 10 sin-1 (cos (21 z)) - tan C BARANG (18 r)

A: Given: Now,             y'=10arcsincos21x-arctan18x'     =10arcsincos21x' -arctan18x'…

Q: d) Find S'(t). S'(t) = e) Find S'(4) and S'(24), and interpret the meaning of these numbers. S'(4)=,…

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Q: 5 T то

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Q: Let A = 012 102 2 2 3 Compute A2023

A: To compute A^2023, we can first diagonalize the matrix A by finding its eigenvectors and…

Q: B- Find the equation of the tangent line to the curve y = x² - 2x at x = 3

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Q: Use Gauss-Jordan row reduction to solve the given system of equations. (If there is no solution,…

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Q: If a rock is thrown vertically upward from the surface of Mars with velocity of 15 m/s, its height…

A: If h(t) is the height function then h'(t) is the velocity function.

Q: Find the limit. (If an answer does not exist, enter DNE.) lim X→ 8 X+8-4 X-8

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