Show that the point of intersection of two lines in the plane of afield F lies in the plane of F.

Q: If $7,000 is invested at 9.5% compounded continuously, find the future value after 6  1 2years.…

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Q: A team of botanists has developed a new serum to help plants grow faster. They found that that…

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Q: Draw the angle – 225° in standard position: -5 -4 -3 -2 -1 Clear All Draw: 5 4+ 3+ 2- 1 L --+- -2+…

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Q: For the function f(x) given below, evaluate lim f(x) and_lim_ƒ(x). X→∞ X118 Provide your answer…

A: The given function f(x)=-(x+1)(x2+1)(3x2-2) We have to find the limx→∞f(x) ,limx→-∞f(x)

Q: Use Newton's method to approximate a zero of the equation x³ + x + 4 = 0 as follows. Let #1 1, be…

A: need to use the Newton's method to approximate the zero of the equation.

Q: if f(x) = ²* (e²-³₁ If (et-3-4t+5) dt then f'(x) = Round your answer to the nearest hundreth if…

A: Topic = Derivative

Q: 5 A cylindrical can with radius of 6 cm is filled with juice. How fast does the height of the juice…

A: To determine the rate at which the height of the juice in the can drops.

Q: +-8+ A new function, f, is defined as an integral: f(x) What is the value of f(8)? Answer: 19 We…

A: NOTE: Refresh your page if you can't see any equations. .

Q: 2. The graph of f is shown in the figure. The shaded region, A has an area of 7.5, and f(x) dx =…

A: As per our guidelines we can answer only 1 question and only 3 subparts of the given question so…

Q: f(t) = 9t² + 5t + 4 4 cos(5t) 59e4t 5 sin (4t) t 12

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Q: 4s + 1 s³ - 3s² + 3s 1 a. Find the partial fraction decomposition of F(s): Consider the function…

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Q: 2. Determine the form of a particular solution to each of the following differential equations: (a)…

A: Formulas used: For f(x)=eax , f(x)=sinax ,f(x)=cosax f(x)=eax P.I=1f(D)f(x)=1f(D)eax......eax1f(a) ;…

Q: Use the Ratio Test to determine whether the series is convergent or divergent. Identify an Since lim…

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Q: 3. Solve the initial value problem by separation of variables: dy y(1) = 4 dx 2

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Q: Plot and label the points being described and identify the coordinates of the points. A is 5 units…

A: Topic = Coordinate geometry

Q: Compute the line integral of the vector field F = (3zy-¹, 4x, −y) over the path c(t) = (et, et, t)…

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Q: 287. [T] Use a CAS to graph the solid whose volume is given by the iterated integral in spherical…

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Q: If f(x) = 3x³ - 6e*, find: f'(x) = ƒ' (3) = ƒ''(x) = = f''(3) =

A: Given, f(x)=3x3-6ex

Q: if x - 2 Calculate the following limits. Enter "DNE appropriate. Let f(x) lim 24-2- lim #4-2+ lim…

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Q: The gas equation for one mole of oxygen related its pressure P (in atmospheres), its temperature, T…

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Q: The positions of a point (in feet) is given as a function of time t (in seconds). s=-17+t-17t²; t =…

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Q: The population of a rural town is declining exponentially at a rate of 9% per year. The population…

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Q: y" + 2y' + y = e* lnx (where x > 0)

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Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use ∞o…

A: The given series is:∑n=1∞ 17n

Q: Evaluate the line integral SF dr, where F(x, y, z) = 3xi + 3yj – 4zk and C is given by the vector…

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Q: The graph of the derivative f'(x) Graph of dy/dx ...... dy dx is given below. ........

A: A point of inflection is found where the graph (or image) of a function changes concavity. To find…

Q: The annual average price per r foot for office space in a city was $30.89 in 2004, and it was $06 55…

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Q: Consider the differential equation -4y"" + 5y" - 5y' - 3y=0 with y(0) = -3, y'(0) = 3, y" (0) = 2.…

A: Consider the differential equation, -4y'''+5y''-5y'-3y=0 with  y0=-3, y'0=3, y''0=2. By taking the…

Q: 1. The position of a particle on a line is given by s(t)= t³-5t² + 12t + 7, where t is measured in…

A: As we know that: The expression for the velocity is: vt=dstdt The expression for the acceleration…

Q: Work Problem solutions and justify your answers. 1) dy dx Write step-by-step Consider Bernoulli's…

A: Answer is in step 2

Q: Factor f(x) into linear factors given that k is a zero of f(x). 3 f(x) = 4x³ + 3x² - 22x+15; k=1…

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Q: Determine where D is the region enclosed (5, 0, 0), (0,3,0), (0, 0, 3), by the tetrahedron with…

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Q: solve the differential equation y" + 2y +2 | +2 = sint

A: To solve the following differential equation.y''+2y+2=sin t

Q: Find the differential of the function. y = √2-t8 dy= X

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Q: Find the derivative of the function y=x^2e^-3x

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Q: 1. Solve the differential equation by separation of variables: dy dr Over which intervals does the…

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Q: If the integral ∫4−4∫√16−y2−√16−y2∫√16−x2−y2−√16−x2−y2(x2+y2+z2)dzdxdy was converted into an…

A: To convert in spherical coordinates.

Q: Plot and label the points being described and identify the coordinates of the points. B is 3 units…

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Q: Evaluate x√√21x² + 21y² dA, where D is the shaded region enclosed by the lemniscate curve ² = 0.5…

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Q: (a) Show that for x ≥ 1, 1 √1+x² 1 > 0. (b) Use part (a) to show that the integral S 1 √1+x²…

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Q: When a circular plate of metal is heated in an oven, its radius increases ta rate of 0.01 cm/min. At…

A: Using differentiation

Q: You need to provide a clear and detailed solution for the following Questions: Work Problem 2 […

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Q: Let f(x) = 5 ln(7x) f'(x) = f'(5) = =

A: The given function is f(x)=5 ln (7x) We have to find the f'(x),f'(5)

Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use co…

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Q: S 19.) C'(x) = 1.3e0.02 for 2 units cost $105

A: I am attaching image so that you understand each and every step.

Q: Resale Value Garland Mills purchased a certain piece of machinery 2 years ago for $500,000. Its…

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Q: The marginal cost and marginal revenue of a company are MC (q) 0.03q² 1.5q +35 and MR(q) = 25, where…

A: We have to find if the company should increase or decrease production from each of the given levels.

Q: Use a table of integrals to find the area of the region bounded by the graph of y= 5 0 Click here to…

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Q: A central angle in a circle of radius 7 m is subtended by an arc of length 8 m. Find the measure of…

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Q: Determine if the given value of x is a solution to the given equation. √2cos(x)−1= 0;=5π / 4

A: The given equation: 2cosx-1=0.We need to check whether x=5π4 is a solution to the given equation or…