Question 7 of 8 View Policies Current Attempt in Progress Find the limit. NOTE: Enter the answer using round brackets. t² +9 1 = lim t+∞ 3t² +4' 6t (?, ?) -/5 = ***

Q: 1. Evaluate JJ (2². R where R = {(x, y) |0 ≤ x ≤ 1,0 ≤ y ≤ 2}. (2x + y) dA

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Q: Evaluate: sec²(4t) [3-tan(4t)]³ dt a.-16 [3-tan(4t)] + C b. | [3 –tan(4t)] + C 4 OC. 1 [3-tan(4t)]…

A: integration

Q: y = 5x6 − 6x² + x +4

A: Follow the procedure given below.

Q: Evaluate the definite integral. √ (e19¹ ₁ + (e¹% i + e¯¹j+1 k)dt O e¹⁹ - 1 19 O el9 i-e²¹ j + ½ k 19…

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Q: Find the curvature and the radius of curvature at the stated point. r(t) = = 11 cos(t)i + 9 sin(t)j…

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Q: Evaluate the following integrals. 2. √x*+5x³ x+5x³+20x+16 x(x²+4)² dx

A: The given integral is ∫x4+5x3+20x+16x(x2+4)2…

Q: Consider a triangle ABC like the one below. Suppose that b=58, c=34, and B= 108°. (The figure is not…

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Q: 4. What is the SECOND derivative of the given function? * y = 3x³ - 2x² + x - √ y" =9x² - 4x + 1 y"…

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Q: A firm has the marginal-demand function D'(x) = D=11,000 when x = $3 per unit. The demand function…

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Q: the slope intercept equation of a line that passes through (0,-6) and (3,-4) is

A: Given points are (0,-6) and (3,-4)and here (0,-6) is (x1,y1) and (3,-4) is (x2,y2)We know the slope…

Q: 2. Consider the following table of a periodic function h(t). t 0 1 2 3 4 5 h 4.0 5.25 6.165 6.5…

A: hmin =1.5hmax=6.5A)Midline:y= hmax+hmin2y=6.5+1.52y=4B)Amplitude:A=hmax-hmin2A=6.5-1.52A=2.5

Q: Consider à = (2,1,k), and b = (k,-8,k). Find the value of k such that å and bare perpendicular.

A: We can find the values of k as below.

Q: The table shows a proportional relationship between the number of tickets purchase and the cost.…

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Q: 2. x' + - y3 = 1, D2y 3

A: Given :

Q: 2 S(²/33 -3 + 5x² + 3) dx

A: Given,            ∫2x3+5x2+3dx

Q: Determine whether the integral is improper L' (x-4)-¹dx (A) Not improper (B) Improper

A: We can solve this as follows:

Q: Find each limit, if it exists. 6-7x (a) lim (b) (c) 000 11 x-∞ 6x³ 6-7x lim x- 6x-2 6-7x² lim x-00…

A: Part a,Given,            limx→∞6-7x6x3-2

Q: Question 6 The domain of the function f(x)=√-4x+12 consists of one or more of the following…

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Q: (a) f(x) = 2x³ + 3x² - 12

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question..…

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A: Find your answer below

Q: One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 17°,…

A: We have to estimate the error in computing the length of the hypotenuse.

Q: y = 2-ex 3x-1

A: We know that differential power rule is given as - d(xn)/dx = nxn-1.   Here i attached the solution…

Q: ​D(x) is the​ price, in dollars per​ unit, that consumers are willing to pay for x units of an​…

A: Solution is here

Q: Given sin(a)= and a is in quadrant IV and sin(B) = and /2<B<. Use sum and difference formulas to…

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Q: [CLO-2] f(x) and g(x) are functions that are continuous on the interval -3 ≤x≤2 and satisfy 1 1…

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Q: Find the derivative car (x+y) = yrinx

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Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). X18 8118 3x² - 1 f(x) = Enter an…

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

Q: Evaluate the limit A. ƒ(x) = 5x + 2 at x = 3 x²-9 B. f(x) at x = 3 x-3

A: A. f(x)=5x+2B. f(x)=x2-9x-3

Q: Sketch a graph of f(x) if r-2 if -2 4

A: Given,  f(x)=2x+6if x≤-20if -2&lt;x≤41.5x-6if x&gt;4

Q: How to determine whether the function is continuous or not at a given point x = a ? x ≤ 1 (3x5 - 1…

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Q: Find the Laplace Transformation of y" +3y + 2y - 4ex when y (0) = 0, y′ (0) = 3 OY (s) 2s+1…

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Q: Evaluate the iterated integral. 18 5 (x + y²) dx dy

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Q: ["u pus C=P Op2-13 an=19 +

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Q: Suppose f(x) = x² - 4x-9. Compute the following: A.) f(-3) + f(2) = B.) f(-3)-f(2)= =

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Q: Use the given series to find the Maclaurin series of the function f(x). f(x)=x²cos3x Use the series:…

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Q: 4. y ln x + xesin y = 0=

A: Given

Q: Find the laplace transform of f(t) = 6t³ + 4t² 3 F (s) = F (s) F (s) = F (s) = F (s) F(s) = -85³ +…

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Q: The shaded region between the graphs of y = 2x² + 20 and y = 3x - 15 is displayed below in orange.…

A: Area bounded by the curves : If f(x) and g(x) be two continuous function and f(x)≥ g(x) on a,b ,…

Q: Evaluate the following integrals. Show complete solution and your answer must be in simplified form.…

A: To Find :   ∫11+cosxdx

Q: Decide whether the integral is improper. 00 [ In(x8) dx O proper O improper Explain your reasoning.…

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Q: 8. teyty dy

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Q: 1 Use the inverse matrix -5 5 x + y + Z = 0 5x + 7y + 6z = 4 5x + 8y + 7z = 2 (x, y, z) = = ( 1 -1…

A: Given the inverse matrix is  11-1-52-15-32. The system of linear equations is…

Q: y Given: xe² + In(x - y) = . Find dy/dx. dy 2x(x-y)-x¹+x -w) (20

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Q: 2. y=(2 tan² 20-1/²

A: To find derivative of given function.

Q: 9. f(-5) = (5)²-19 = 25 -19 -6 b. lim x²-19 X→-5 = (-5)² -19 = 25-19 = 6 с C f(-5) = lim f(x) X-7-5…

A: Solution is given below:

Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below. y 0 4 5 16 7 8 9…

A: Given

Q: Find an equation in rectangular coordinates for the surface represented by the spherical equation. 프…

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Q: Find the derivative of y= (2x³+x+1) 4(x²+3)5 (x4+3) 3 O A dy (4) (2x³+x+1) ³ (5) (x²+3) 4 dx 2(x²+3)…

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Q: Use properties of the cross product to find the area of the parallelogra nerated by the two vectors…

A: Recall: Area of the parallelogram form by two vector a and b is a×b

Q: 2. Boyle's law for the expansion of gas is PV = C, where P is the pounds per square inch of…

A: P V =Cdifferentiating w.r.t. time t;P dVdt+VdPdt=0P=5000 pounds per square foot.V=8 ft3dVdt=4…