Find f. f"(8) = sin(e) + cos(e), f(0) = 5, f'(0) = 4 f(e) = 5t – sin (t) – cos(t) + 6

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Q: Trigonometric Substitution SV9-y dy Vy dx 6. S e 2x+1

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

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A: For given function we have to find out Maclaurin series upto degree four .            f ( x ) = (1 +…

Q: 1) Test whether the following differential equations are exact and solve those that are. 5.30. (y…

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Q: Express the answers in the simplest form. Step by step. Use implicit differentiation to find the…

A: NOTE: Refresh your page if you can't see any equations. . take derivative on both sides

Q: integral is 3 1 y IT (6 x² y -4 e')dxdy= ? -1 y 942 O - 16e3 + 5 932 O - 16e + 5 None of he others…

A: Given query is to find the value of the integral.

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A: On solving this we will get

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A: Given query is to find the Indicated integral.

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Q: Suppose that $83,000 is invested at 3-% interest, compounded quarterly. a) Find the function for the…

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Q: n n(n + 1)(2n + 1) Le n be a positive integer. Use induction to prove >j² = 6 j=1

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Q: 1+y dy

A: We can solve the given integral as follows:

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A: given skew lines x+12=y+2-4=z-1-3  and x-15=y-13=z+12

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Q: Show that the equation 2x+ sinx=0 has exactly one real root. (Hint: Step 1 show that the equation…

A: Solution is given below:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: Solve the IVP by finding appropriate integrating factor an (2² + y² – 5)dx – (y + xy)dx = 0, y(0) =…

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Q: Sketch and find the area of the region bounded by y =ln In x, y = 1 – x and y 2.

A: Given curves, fx=y=lnlnxgx=y=1-xhx=y=2 The area bounded by the curves f(x) and g(x) is given by…

Q: 4. We want to make a gutter with a long sheet of metal 12 cm wide by bending the two long sides and…

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Q: 3. Find the area enclosed by the curve x = t3 – 1, y = 2t - t? as shown below. (Hint: to find the…

A: As per bartleby guidelines we are supposed to answer only one question per post. This post contains…

Q: Estimate L4 and R4 over [0, 3] for the function f(x) = 6x2. %3D (Use decimal notation. Give your…

A: Given problem:- Estimate L4 and R4 over [0, 3] for the function f(x) = 6x².

Q: Plot the polar point ( -4, 165° )

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Q: 16 14 12 10 8. 6. 4. 6. A942

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Q: Use Power Sums to evaluate N 3s? 2s 4 lim N3 s=1 (Give your answer as a whole or exact number.) 3s2…

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Q: 2 2 3 The integral 0, dxdy = + 6 6. 3 y

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Q: 'ax+b 1) g(x) ) (a and b are constants) = sec ax-b

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Q: Find c if a = 2.8 mi, b = 3.78 mi and ZC = 40.9 degrees. Enter c rounded to 3 decimal places. c =…

A: Given,           a=2.8 mi, b=3.78 mi , ∠C=40.9°To find : Find side c.

Q: (a) Find an equation of the tangent plane to the surface at the given point. x² + y? + z? = 14, (1,…

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Q: Use this definition with right endpoints to find an expression for the area under the graph of f as…

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Q: Suppose that a company makes and sells x phones per week, and the corresponding revenue function is…

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Q: Consider the function y = x + 2x + 8. Using the values x = 5 and Ax = 0.5, calculate A y - dy. Round…

A: Given : y = x2 + 2x + 8 x = 5 and ∆x = 0.5 Calculate ∆y - dy ∆y = f(x + ∆x) - f(x) ∆y = f(5 + 0.5) -…

Q: 1.SUpPose that fCx) = 3x(x-1). Find the critical numbers of fiX). Use them to detemine on which in…

A: We need to find critical point and interval of increase and decrease.

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Q: Sketch the graph of the following function. Describe how the graph can be obtained from the graph of…

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Q: Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. 1=…

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Q: 9. if A = [12 3; 4 5 6; 7 8 9], inverse of A is denoted by O A(inv) O inv(A)

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Q: 4. If all three sides are given, the first step in order to solve the triangle is: A) apply the…

A: if all three sides are given, the first step in order to solve the triangle

Q: Question 4 ($2 Q10] Determine whether the following relation is a function from R into R. Also…

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Q: A concert promoter sells tickets and has a marginal-profit function given below, where P'(x) is in…

A: This is a problem related to integration of the given function. Then after we will find the total…

Q: Express the answers in the simplest form. Step by step. Find the equation of the tangent line to…

A: NOTE: Refresh your page if you can't see any equations. . take derivative on both sides

Q: 1 b) For G(x) = 2 stationary and inflection points. Show the horizontal and vertical asymptotes and…

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Q: Let bi 8, b2 = 4, b3 = 7, and b. = -5. Calculate the following sums. (Use symbolic notation and…

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Q: 5. Fied ť+, y= t*+t for t=-l equatin ef the lagest limye te the Cume an

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