Suppose F(t) has the derivative f(t) shown below, and F(0) = 2. Find values for F(2) and F(7) -1 3 2 1 2 3 10 10

Q: Find f(x) such that f'(x) = 9x² O f(x) = 3x³ - 2x² + 4 O f(x) = 3x³ - 2x² + 10 O f(x) = 3x³ - 2x² +8…

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Q: Page 8 of 10 Question 8 Solve the differential equation. ex dy dx + 3exy = 2, x > 0 A) y = ex+e3x, x…

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Q: Let A-R\(-2), and define f: A-R by the formula f(a) a but not onto. 2a a+2 Prove that is one-to-one

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Q: 1. Sketch the following vector fields (a) F(x, y) = 2i+y²j (b) F(x, y) = Vf where f(x, y) = 4x² + y²

A: Solution: Given data, a)F(x,y) =2i+y2j

Q: If f(x) = 19x + 3, find the instantaneous rate of change of f(x) at x = -2

A: If fx=19x+3, then to find the instantaneous rate of change of fxat  x=-2.

Q: 4. A straight river flows north at a speed of 3 mi/h. A boater attempting to cross the river heads…

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Q: Determine the singular points of the given differential equation. Classify each singular point as…

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Q: 5 b [₁² (²x - 7)²¹ dx = [²) vhere = 2x-7 du = 2 7 = -5 = 3 f(u) = 1/10 f(u) du The value of the…

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Q: (0.1) (2-3) 47

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Q: Find the y-coordinate of the inflection point for the following logistical growth function: 2500/6…

A: NOTE: Refresh your page if you can't see any equations. . divide the nemeratr and denominator by 6

Q: A car's velocity is modeled by v(t) = 0.5t² - 10.5t + 45 for 0 ≤ t ≤ 10.5, where velocity is in feet…

A: solution:-v(t)=0.5t2-10.5t+45     for 0≤t≤10.5the car wil stop whenv(t)=00.5t2-10.5t+45=0solving the…

Q: Show that 3 is a factor of n3 + 2n for all natural numbers n. Let P denote the statement: 3 is a…

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Q: A $3.6 million state lottery pays $15,000 at the beginning of each month for 20 years. How much…

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Q: 2. If cot 0: = 3 −³ and 90° < 0 < 180°, find sin 0.

A: The answer is in step 2.

Q: Use the chain rule to find First the pieces: dz da ?х Əs dy Əs And putting it all together: dz Əs Əz…

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Q: Find the differential equation characterizing the family of curves described. Sketch at least three…

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Q: Locate all the critical points of the function f(x, y) = 6x - x² 3xy². (If there are several points,…

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Q: If f(x) = sin(x³), find f'(x) Find f'(1)

A: See this solution in below.

Q: What is S₁, of the geometric sequence? Round to the nearest whole number. 10 8, 20, 50, 125,... O a…

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Q: Set up the definite integral required to find the area of the region between the graph of y = 12 y =…

A: Given :y=12-x2y=12x+47-4≤x≤1

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A: Solve the following

Q: a. Identify the function's local extreme values in the given domain, and say where they occur. b.…

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Q: A rich uncle wants to make you a millionaire. How much money must he deposit in a trust fund paying…

A: NOTE: Refresh your page if you can't see any equations. . here we have  A=1000000 (future value)…

Q: Solve the following basic calculus problems: d (e² cos x) dx a. X b. Sybdy c. Show: d. if df dx = वर…

A: As per the rules, we are supposed to answer the first question and rest others can be reposted.

Q: For what production levels is the profit maximized? Round your answer to one decimal place. 9 = juda…

A: We need to determine q where profit is max.

Q: 9) The Mean Value Theorem shows that for a differentiable function the average rate of change over…

A: Since this is a multiple question, according to the Bartleby answering rule, only the first question…

Q: 3. The function gis defined on the closed interval [-4, 8]. The graph of g consists of two linear…

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Q: 3) If the price charged for a candy bar is p(x) cents, then x thousand candy bars will be sold in a…

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Q: A runner is jogging at a constant speed of 3.1 miles per hour. a. Find the distance d that the…

A: We need to find the function for the distance traveled by the jogs as a function of the time.

Q: Evaluate the line integral F F. dr, where C is given by the vector function r(t). F(x, y, z) =…

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Q: red

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Q: Find the point P on the graph of the function y = √√x closest to the point (5,0) The x coordinate of…

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Q: equation of the line tangent to the curve at the point corresponding to the given value of t.…

A: Given query is to find the equation of the tangent.

Q: Evaluate, using substitution f 24t5 4t6 +3 - dt. T

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Q: Find the distance between the points (63, 89) and (72, 49) Distance =

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Q: Consider the following parametric equations. a. Eliminate the parameter to obtain an equation in x…

A: x=-8-5ty=-5-tt=-5-y  put value of t in x

Q: day 34 dx2 ................. +...5.x dy ich. 3.x.ehr......

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Q: A company estimates that the total revenue, R, in dollars, received from the sale of q items is R =…

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

Q: Solve the differential equation. dy xax A) y = 1 + + 2y = 5-², x> B y = C) y = D E y = 0 5x2+2x+c…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of sin (r) h(a) = √_₁ (cos…

A: solution:-h(x)=∫-1sin(x)(cos(t2)+t)dtusing fundamental theorem of…

Q: The gas law for an ideal gas at absolute temperature 7 (in kelvins), pressure P (in atmospheres),…

A: NOTE: Refresh your page if you can't see any equations. . P=pressure T=temeprature V=volume R, n=…

Q: Find the differential dy of the function y=-2²-3x - 2. Select one: O a. (-x-3)dx. O b. (-2x - 3)dx O…

A: dxndx=nxn-1d(constant)dx=0

Q: If f(x) = 8 arctan(7x), find ƒ'(x). Find f'(3).

A: Topic - Derivative of a function We are given, f(x)=8arctan(7x)we know thatProduct…

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Q: Use integration by parts to find the following: [(t + 7)e²t+3 dt = Hint: Use the substitution +C…

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Q: Find the indefinite integral. (Use C for the constant of integration.) 6 1.* dx e + 1

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Q: Find the extreme values of ƒ(x, y, z) = x - y + z on the unit sphere x2 + y2 + z2 = 1.

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Q: A spherical balloon is being inflated. Find the rate (in ft2/ft) of increase of the surface area (S…

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Q: standard form equation for a hyperbola with vertices at (3,0)(3,0) and (−3,0)(-3,0), that passes…

A: Given query is to find the equation of the hyparabola.