It is known that dx Compute . Simplify the final answer. 2х-у dx

Q: Fibe the graph of the equation. = (7 – 21) i + 10tj r = O It is a line in 2-space through the point…

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Q: a) Graph the function f(x) = 2x -5x+3 b) Draw a tangent line to the graph at the point whose…

A: Given the function is  f(x) = 2x2-5x+3

Q: x+2 Solve: x-1-3 <0

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Q: d d Calculate ri(t) · r2(t)] and r:(t) x r2(t)] first by differentiating dt dt the product directly…

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Q: 4. Evaluate lim (cos r)/**.

A: We know that limx→0f(x)g(x) is of the form 1∞ then limx→0f(x)g(x)=limx→0eg(x)f(x)-1

Q: Consider the function f(x) = 2x° – 15x? – 36x + 8 on the interval [– 5, 9]. Find the average or mean…

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: Given query is to find the maximum profit.

Q: Use a finite approximation to estimate the area under the graph of the given function on the stated…

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Q: II P. Do Homework -Homework Chapter 4- part 1-Google Chrome…

A: Given query is to find the point where slope of tangent to the curve is zero.

Q: ) = x/x² + 36 ned on the interval – 4 < x < 5. ) is concave down on the interval x = to x = ) is…

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Q: Find the general antiderivative, F(x), for the given functions. a) f(x)=-sin? xcosx b) f(x) =/7-2x

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Q: Find div F and curl F if F(x, y, z) = xz°i+ 2y'x²j+ 2z²yk. %3D div F= curl F=

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Q: ||r(t) x r"(t)|| Use the formula k(t) = to find k(t). ||r"(t)||° r(t) = t'i+ t°j K(t) =L

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 1 n! n = 0…

A: By using the Direct Comparison Test to determine the convergence or divergence of the given…

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Q: A ball is thrown into the air and its position is given by h(t) = - t² + 85t + 2 where h is the…

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Q: Determine the gradient of f(r, y) = ez sin(5y) at (r, y) = (3, – 1). Round to 2 decimal places. V…

A: Given query is to find the gradient at indicated point.

Q: Find the area of the region enclosed between the curves defined by the equations y = Vx +2 ,y = x ,…

A: Solve the following

Q: Solve by Gauss-Jordan elimination

A: answer is in next step

Q: ,3 dx 3 Vx²-16

A: Given integral I=∫x3x2-163 dx

Q: Sx³e*²dx 3. X°e

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Q: ||r'(t) × r"(t)|| ||r"(t)||* Use the formula k(t) = to find k(t). r(t) = t²i + t°j %3D K(t) =

A: Given: r(t) = t2i +t5j Solution: r'(t) =ddtt2i+t5j =2t i +5t4j r"(t) =ddt2t i +5t4j= 2i + 20t3j

Q: Find the area of the shaded region 10x) = 8x - 2x - x, g0x) = 0

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Q: Let y = tan(4x + 4). Find the differential dy when x = 4 and dæ 0.2 Find the differential dy when x…

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Q: Let f(x, y, z) = x*y+ z* and x = st², y = st, and z = s²t. (a) Calculate the primary derivatives se…

A: Given,  f(x,y,z)=x4y+z4x=st2, y=st, z=s2t

Q: S sin x In(cos x) dx X

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Q: Describe the graph of the equation. r = - 13 i+ (1 – 12 )j + t k O It is a parabola in the plane x =…

A: Given; parametric equation    r=-13i+(1-t^2)j+tk

Q: emplicit differuntintion to find an Use equaton of 44 tangent line to yle graph of ve equation given…

A: The given equation,       arcsin4x+arcsin3y=π2,  28,26

Q: A concert promoter needs to make $81,000 from the sale of 1800 tickets. The promoter charges $40 for…

A: x+y=1800x= number of $40 ticketsy= number of $70 tickets

Q: Consider the function f(x) on the interval [1, 11]. Find the average or mean slope of the function…

A: Given,  f(x)=1x

Q: 2. Let f(x) = VI(2 – x)². Use the local linear approximation of f(x) at ro = 1 to estimate V0.99…

A: f(x)=x2-x2The linear approximation of f(x) at x0=1

Q: A man has $380,000 invested in three rental properties. One property earns 7.5% per year on the…

A: Given problem:- A man has $380,000 invested in three rental properties. One property earns 7.5% per…

Q: Find the area of the region bounded by the graphs of the given equations. Enter your answer in exact…

A: Given :

Q: 15. As x increases uniformly at the rate of 0.002 feet per second, at what rate is the expression (1…

A: We have given that                     ( 1+x )3= f(x)      ,  then we have to find out value of dfdt…

Q: Suppose the function f(x) is an odd function and lim, f(r) = 27. Use this information to evaluate…

A: For an odd function f(-x) = -f(x)

Q: II. Use the first fundamental theorem of calculus to find F'(x) .Write your final answer on the box.…

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Q: Find: W(e2x, –5e3x) A. 5e3x B. 4e5x C. -5e5x D. -4e* E. None

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Q: Find curl (5z i+ 6x j+ 7y k). curl(5z i+ 6x j+ 7y k) = ( i )i + ( i Oj + ( i )k Savo for Lator

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Q: Assume the annual rate of change in the national debt of a country (in billions of dollars per year)…

A: Solve for debt equation by integrating the given equation.

Q: 6/9 Correct Question 8 of 9, Step 1 of 1 Find the total area bounded by the x-axis and the curve y =…

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Q: (b). lim zInz² et

A: To evaluate: limx→0 xlnx2ex Using logarithmic property we can write the given limit as  limx→0…

Q: Given s(t)= 21+21, where s(t) is in feet and t is in seconds, find each of the following a) v(1) b)…

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Q: Describe the graph of the equation. r = 2 sin 10t i + 2 cos 10t j O It is a circle of radius 10 in…

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Q: Find div F and curl F if F(x, y, z) = 3y°z°i – 3x*2°j – 3xy*k. - div F= curl F=

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Q: 3 (2). Consider the solid Q bounded by the surface of the equation y =x² + z? and the planes, zV3 =…

A: Here's the solution... please have a look at it.. Answer: option C

Q: t"(x) If t(x) = Vx find t'(x)' O -1/2x O 2x 1/2x -2x O None of these

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Q: Compute the sum of the scries 1 n(n+1) 2". n=1

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Q: |A:k||2||Br:||2) < ||A||F||B||F k=1

A: answer is in next step

Q: Use Green's Theorem to evaluate the integral. Assume that the curve C'is oriented counterclockwise.…

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Q: Consider the function f(x) = 9x + 4x-1. For this function there are four important intervals: (- 00,…

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