Find the equation of the line through ?=(15,14) such that the triangle bounded by this line and the axes in the first quadrant has the minimal

Q: Find all solutions of the equation in the interval [0, 2). cot^2 x + 3 csc x = - 3 Write your answer…

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Q: For the function, find the indicated expressions. f(x) = x² In(x) = x² (a) Find f'(x). f'(x) = X (b)…

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Q: /2x-x² ƒ² 5√²x−x² (√x² + y²) [2x − (x² + y²)] dy dx

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Q: 6 2 110 31 10- 20 6 X

A: I think it should be f(x)>0 or f(x)<0 or f(x)=0. Please see the below answer.

Q: Use an appropriate test to determine whether the series converges. M8 Σ k=1 k! 18kkk Select the…

A: The given series ∑k=1∞k!18kkk. We have to check the convergence of the series.

Q: Evaluate the expression Sin (@+P); sin (@) = 15, 6 in Quadrant I, 171 Cos (P) = -2√5, Pin Quadrant I…

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

Q: Solve the following relations for x and y, and compute the Jacobian J(u, v). u = 9xy, v = 3x x=y=…

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Q: 3 √x²x³-1 3 1 dx

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Q: x/6 S 0 cos 9x dx

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Q: Hello I cannot understand what the answer

A: We need to make it clear so that the answer is understandable.

Q: = (a) Estimate the area under the graph of the function f(x): endpoints. Round your answer to four…

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Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

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Q: 2. Select Show additional function. Graph y = 5(1 + 0.20)' along with y = 5(1-0.20). A. What do the…

A: Graph of y=5(1+0.20)t

Q: Please rewrite the answer so I can understand im not sure if there is an exponent fraction or not.…

A: The given integral ∫x114-3 sinxdx. We have to evaluate this integral.

Q: For the piecewise linear function, find (a) f(x) = (a) f(-4)= (b) f(− 2) = (c) f(0) = (d) f(2)= 3x…

A: Given function:- fx=3xif x≤-2x-4if x>-2

Q: Find a parametric description r(t) for the following curve. The line segment from (6,4,8) to…

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Q: 2. Use the graph below to evaluate the following: y=2x-8 (a) Using geometry, compute the net area…

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Q: The graph of f(x) is given below (click on graph to enlarge): Determine for which values of x = a…

A: Condition for existence of limit at x=a limx→a-fx=limx→a+fxAnd Condition for continuity at x=a…

Q: Determine whether the following series converges. Justify your answer. IM8 (4k)! k=1 (k!)4 Select…

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Q: Find an equation of the ellipse with the following characteristics, assuming the center is at the…

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Q: Find the function f with f'(x) = cosx-x³, f(n)=3.

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Q: Find all solutions of equation in the interval [0,2pi) cos2x-2cosx=-1

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Q: Find g'(x) if g(x) = logx(3x)2. O O 8'(x) = 2 ln x 3 ln²x g'(x) = - g'(x) = g'(x) = - 2 ln x 3 ln²x…

A: To determine the derivative of given function

Q: (a) Estimate the area under the graph of the function f(a)=3 from 0 to 4 using a Riemann sum with =…

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Q: 5 Consider the initial value problem y'=6x + 1, y (0) = − 2. Using Euler's method with a step size…

A: The given initial value problem is y'=6x+1, y0=-2.   The objective is to find y5 using Euler's…

Q: COMPUTE: 5. r' (t)

A: Givenr(t)=-8t4+5t,sec2tπ6,3et-2tln(t)   We are required to find the value of r'(t)

Q: 12. f sec² 20 do

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Q: The rate of growth of a fish population was modeled by the equation 90,000e-0.6t (1 + 5e−0.6t)²,…

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Q: Find all critical numbers of f(x) = 1 + 3x² - 2x ³ State whether these critical numbers are local…

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Q: What are the polar coordinates of the point shown in the graph below? Answer with the standard polar…

A: Given query is to find polar coordinates of the point.

Q: For the demand function D(p), complete the following. D(P) = 2000e-0.02p (a) Find the elasticity of…

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Q: Use an appropriate test to determine whether the series converges. Σ k=1 By the 16 k! k k' this…

A: See the answer below

Q: Find the Maclaurin series for f(x) = x³e²³. -Σ T³e²²³ = n=0 On what interval is the expansion valid?…

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Find two numbers with difference 86 and whose product is a minimum. Enter your answers in increasing…

A: Given query is to find the Indicated unknown numbers.

Q: In 7 4te¹i + 3e¹j+2 ln tk dt

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Q: Use limit notation to describe the unbounded behavior of the given function as x approaches co. v(x)…

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Q: 1. Find and classify all critical points of f(x, y) = x.

A: We have to find and classify the critical points of given function.     According to our guidelines…

Q: 4. In all parts of this problem, the function f is given by f(x) = 2+1 √x = x¹/²+x-1/2 (a) Determine…

A: To find domain and limit of given function.

Q: Use f(x) = log4(16x) and g(x) = 4* to answer the questions below.

A: A. Find f(g(x)) and simplify    B.  Find the range of y= f(x) - g(x)

Q: Which of the following equations represents a parabola with vertex (5,2) and directrix y = - 2? (А)…

A: Let's find equation of parabola.

Q: If the amount of powder for a specific substance is 100 mg, and if the ratio is 2:4:8, how much is…

A: use the ratio and proportion

Q: Find the gradient vector field of f. f(x, y) = xe5xy Vf(x, y):

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Q: ·S (a) tan-¹(x) + C (d) tan-¹(2x) + C (g) tan-¹ (r) + C (i) None of the above 1 1+4x2 15. Evaluate…

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Q: X+2 - 9 X-2 = 10x 4-x2

A: Given,             3x+2-9x-2=10x4-x2

Q: * 6. A length of sheet metal 27 inches wide is bent up symmetrically on both edges to make a…

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Q: 2. Use the first derivative test to locate the local maximum and local minimum point(s). f(x) = -x³…

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Q: Determine the largest open intervals of the domain over which the function is A. Increasing B.…

A: From the graph  function is not increasing anywhere . Decreasing (-∞ , -3 ) ∪ ( 4 , ∞ ) Constant on…

Q: se synthetic division to determine whether the given 3 2 √6; P(x)=x¹+x - 5x² - 6x-6 4 s √6 a zero of…

A: Please see the below picture for detailed solution.

Q: 9. Consider a function g(x) such that 19(1) df9(1) g(t)dt = 7 and g(t)dt = 9. What is (a) 3 (b) 4…

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