Q: 5. Consider the function below. Is g continuous on (0,117 on (4,1)? Why or why not? 20 if z ≤0. 3 if…
A: check continuity
Q: Consider a triangle ABC like the one below. Suppose that C= 123°, a= 15, and b=37. (The figure is…
A: The Cosine rule; a2=b2+c2-2bccosAb2=a2+c2-2accosBc2=b2+a2-2abcosC Given: C=123°, a=15, b=37
Q: Find the average value of the function F(x,y) = x³ex++ the region 05x≤2 and 0≤ y ≤ x². over
A: Given problem:- Find the average value of the function F(x, y) = x3 exy +(y/x)2 +(y/x) the region 0…
Q: Find the 6th term in the binomial expansion below with Sigma notation. 8 3 3 / 4.x²³ - √x. - 3)
A: Let's find.
Q: 7. Determine each of the following for the function, f(x, y) = 7x³y² - 2x + 3y. Show all work toward…
A: Given, f(x,y)=7x3y2-2x+3y
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: 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: 4. Is the function f(x) = (x + 1 ((x-4)² +3 ; x<4 continuous at x = 4? Why or why not? ; X24
A: Since you have asked multiple question, as per company guidelines we will solve the first question…
Q: 5. Use spherical coordinates to evaluate [[[ (x² + y² + 2²) ² dv D where D is the solid hemisphere…
A:
Q: Find the derivatives of the following function (a) y=4²-3+2√ 2x+3 (b) y=2
A: We can answer the questions as below to find derivatives
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A:
Q: Find the limit. NOTE: Enter the answer using round brackets. 1 lim (12²2 +9.7) = (17.00) 9't
A: Given : A value that a function approaches the output for the given input values Here, it has been…
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A: To evaluate the given integral.∫0ln 1∫ln 10ex siney ey dy dx
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A:
Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below. 0 3 2- AA. - 2n…
A: Write an equation of the form y = a sin bx or y= a cos bx to describe the graph below.
Q: e 3 ₁ x³ lnx dx
A: Integration by parts formula:∫u.v=u∫v-∫u'∫v
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A: Solution in step 2
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A: Compound continuously A=Pe^(rt)
Q: Find the limit. lim (t i − 3 j + t² k) 1-5 lim (t i − 3 j + t² k) − i 1-5 i k = i+ i j+
A: We can find the exact answer as below
Q: Find Lt+1)²-e' sin² t + cos(t+1 ++ π)}.
A: Given :
Q: Find a, and d for each arithmetic series. 61. $20=1090, 420= 102 63. S16-160, a16-25
A: Given that : S 16 = -160 and a16 . = -25. is for a arithmetic series. And we find the value of a1…
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A:
Q: 10. x*(lnx + 1)8** dx
A:
Q: Find each limit, if it exists. (a) 6 - 7x lim x-00 6x³2 (b) 6-7x lim x→∞ 6x-2 6-7x2 (c) lim 6x - 2…
A:
Q: The area of a triangle with sides of lengths a and b 1 and contained angle is A = a b sin 0. If a=2…
A: Use the application of derivative to find the rate of change.
Q: Find the curvature of the curve. r(t) =<2t, - 3sin t, 3cost)
A:
Q: 38. a10-49.5, a14 = -73.5
A:
Q: 3 sin (29) 1. Consider the polar equation (a) Complete the tables for the given values of Round to…
A:
Q: csc(x) cot(x) 2-csc(x) a. b. In(2-csc(x)) + C O c. -2 In(2-csc(x)) + C O d. In(2-csc(x)) + C dx…
A:
Q: In (x² + y² ) = 2 arctan y' 9 X
A: We know that derivative of xn is nxn-1. Here i attached the solution of this question.
Q: / x³ + x²+2x+1 (x² + 1)(x² + 2) dr
A:
Q: a) Graph the function f(x)=x² + 2x b) Draw the tangent lines to the graph at the points whose…
A:
Q: 2. Evaluate each of the following limits using the function f(x), defined below. If the limit does…
A: The given function is: f(x)=x+3x2+5x+6
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A:
Q: Find two positive numbers that satisfy the given requirements. The sum of the first number squared…
A: We have to calculate first and second number
Q: When can you not use partial fraction decomposition?
A:
Q: 4. Compute each of the following definite or indefinite integrals. Show all work toward your answer.…
A:
Q: 6. Determine the x-value of the absolute minimum of f(x) = -2x4 + 4x³ - 1 on the closed interval…
A: Given: fx=-2x4+4x3-1 f'x=ddx-2x4+4x3-1 f'x=-8x3+12x2
Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…
A:
Q: using an online graphing app, construct three graphs which lie on the interval (-8,8) choose three…
A: The given interval is -8, 8. We have to sketch three graphs on the interval. Let us take functions…
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A:
Q: Find f''(x). 5 f(x) = (x² + 5) *
A: The given function, f(x)=x2+55
Q: Use the formula k(t) = = k(t) = ||r' (t) x r"(t)|| (t)||³ ||r' r(t) = t²i+t⁹j = to find k(t).
A:
Q: 6. Using a double integral, find the area that is inside the region bounded by r = 3+2 sin and r =…
A:
Q: Find the derivatives of the following function (a) y=4²+2√²
A:
Q: 9. (y³+4)√1- cos² (y4 + 16y) ». f (y ³. cos(y¹+ 16y) () 2. dy
A: Answer of the above integration is
Q: limn o →0 9-h-3 h 1 6
A: We have to solve above question and find limit
Q: Given: 6x³2x²+3 dx. Using integration by parts (udv Svdu) and dv = uv - letting u= f(x), dv= 3 g(x)…
A:
Q: [CLO-21 f(x) and g(x) are functions that are continuous on the interval -3 ≤x≤2 and satisfy 1…
A:
Q: 3 Find f such that f'(x) = - √x f(x) = f(1) = 12.
A: Solve for the f(x)
f(x) = t^2(t - 7)^1/3.
Find all critiacal points and all relative
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- How are the absolute maximum and minimum similar to and different from the local extrema?Find two positive numbers so that the sum of the first and twice the second is 100 and the product is a maximum. (Use Second Derivative Test for maxima/minima to verify.)How do I solve the derivative for x to find the critical points and identify the absolute minimum and maximum?
- The base of a rectangular box, open at the top, is to be three times as long as it is wide.Find the dimensions of the box with minimal surface area if the volume of the box is to be 2250 cubicinches. Show and organize your work; use the first derivative test or the second derivative test orother tools to check that yours is the desired optimal solution.Sketch the x^2 And the derivative And integrationSolve both don't say for agàin post. Handwriting.high Derivative 1. f(x)= (9x³+4x²)³ 2. f(x)= (6x²+10x)³.
- use first and second derivative principle to determine the level of output (in thousand) at which the firm's cost is minimized TC(x) = 2x3 - 66x2 + 576x + 1000Where do the minimum instantaneous rates of change occur for the function shown here?Use the graph of the first derivative function f'(x) to find x values at which function has relative minimum and relative maximum.
