1f S₁ (x+5) dx = Sº (x+5) dx = 14, then the value of b is equal to If A) None B 3 с 4 D -3 E 2

Q: r 1 1 sing at Ø 元-6

A:

Q: 4 2 dx : 5₂² In evaluating is same as evaluating lim cos-¹(f(x)). Determine the value of f(x) if…

A:

Q: What integration technique can be used to integrate: O Integration Formulas O Trigonometric…

A: Ans=Trigonometric substitution  For detail...go through the solution....

Q: If z is a function of r and y implicitly defined by dz Əz find and dr ду at (x, y, z) = (0, 2, -1).…

A:

Q: dx ex√4-e²x the integrand is transformed into? (a) cos² 0 (c) sin² 0 (b) sec²0 (d) csc²0 When the…

A:

Q: A bucket that has a mass of 25 kg when filled with sand needs to be lifted to the top of a 20 meter…

A:

Q: Using Trapezoidal method √³x³dx for n = 6 is equal to Blank 1 (use 2 decimal places with proper…

A:

Q: True or false If cosh x = then sinh x=

A: We have cheek the statement

Q: Iff is continuous on [a,b], then (A) True B) False b b xf(x) dx = x f(x) dx a a

A: In this question, we want to know whether the given statement is true or false.

Q: X X-2 such that (fog)(x) = X +2. Q₁/ let f(x) = , find a function y = g(x)

A: SOLUTION-

Q: In evaluating 2dx E, is same as evaluating lim cos-¹(f(x)). Determine the value of f(x) if x=1.13…

A: Integration

Q: xdy = (5y + x + 1)dx Ans: y

A:

Q: ,1 x² - 4x⁹+ A) True B False sin(x) (1+x²)² |dx=0

A:

Q: | dx= - 3 J A) True B) False m|m

A: Topic = Integration FALSE

Q: 6. Find the limit, if it exists. If the limit does not exist, explain why. tan 5x sin 6x (a) lim 1-0…

A:

Q: Find the area bounded by the parabola x = 8+2y-y², the y-axis, and the lines y = -1 and y = 3.

A:

Q: A ball is thrown upward from the top of an 800 foot tower. It's height above ground, h, t seconds…

A:

Q: Which of the following is not true? 5 dx dx ® (Α Sº o 25-x² lim c+5-0 25-x² ® √ in(x²) dx = lim_…

A: We have determine the integration

Q: 1 Find the arclength of the curve x = 3 1 ',v = 22 -t³ t2 with 7 ≤ t ≤ 8.

A: The arc length of a curve in parametric form x=f(t) ; y=g(t) for b≤t≤a is given by,…

Q: 2x - 3 Examine the function f(x):= x²+4 from the point of view of monotonicity and give its local…

A: This question can be solved using the concept of monotonicity and local extrema.

Q: Hewlett Plastics Inc. received a loan of $57,500.00 at 3.75% compounded quarterly to purchase…

A: We know formula for compounded interest:A=P1+rnntwhere A= Principal amount +total interest amount,…

Q: Find all values of k for which the given augmented matrix corresponds to a consistent linear system.…

A: We have to find all values of k for which the given augmented matrix corresponds to a consistent…

Q: Using Simpson's method 2 So dx for n=4 is equal to Blank 1 (use 2 decimal places with proper…

A: As we know from the Simpson's Rule: ∫abfxdx=∆x3fx0+4fx1+2fx2+4fx3+2fx4+...+4fxn-3+2fxn-2+4fxn-1+fxn…

Q: L 4 3 2 1 -1+ -2- -3- -4 -3 2 10. From the above graph of y = f(x), answer the following questions:…

A:

Q: Example 3 Find the centroid of the region bounded by y = x³, x = 2 and the x-axis.

A:

Q: 5.12 7 ln 3x dx X

A: Is multiple questions are posted we are allowed to solve only 1st question...so please upload again…

Q: Using trigonometric substitution, A) None Ⓡ/ B Ⓒ D sec58d0 tan²0 tan40d0 sece * sinᎾdᎾ cosA Ss x4dx…

A: ∫x4(1+x2)32dxPerform trignometric substitutionSubstitute x=tan(θ)→θ=arctan(x)→dx=sec2θ dθ

Q: 3) Use L'Hopital's Rule to evaluate and check your answers numerically: sin x (a) lim X x→0+

A: Solution: a) limx→0+sin xx1x2

Q: Which of the following is not true? A) None of the given choices 4dx B So lim o √x(x+6) 0 3 3 dx dx…

A: Option E is not correct .

Q: Given Cost and Price (demand) functions C(q) = 100q+40000 and p(q) = -2.7q+950, what profit can be…

A: We need to find profit.

Q: Which of the following is not true? A √ in(x²) dx = lim_ sin(x²) dx 3 3 dx dx Ⓒ 1² B In(x²) - = lim…

A: Solution is done in step 2

Q: 3) Use L'Hopital's Rule to evaluate and check your answers numerically: 1 (b) lim x →0 sin² x 12/200…

A:

Q: 7. Find the points on the curve y=-x where the tangent line is parallel to the line y= 3x

A: The points on the curve y=x33-x where the tangent line is parallel to the line y=3x

Q: True or false Unlike the anglet in the trigonometric function cost, the t in the cosht represents an…

A:

Q: Using Trapezoidal method Blank 1 0.34 2 So dx for n=4 is equal to 0.34 (use 2 decimal places with…

A: Given ∫012(x+2)2 dx To evaluate integral using Trapezoidal Rule:

Q: Use Figure 1 to evaluate each trigonometric function of angle A. The side adjacent to angle A has…

A:

Q: In evaluating x=3.98. dx x²-9 is same as evaluating lim (In(f(x))). Determine the value of f(x) if…

A: First we evaluate f(x) using substitution

Q: of S f(x) dx = -5 and S™ f (x) dx = 13, which of the following is NOT TRUE Given than Ⓒ*₁1 (2) de =…

A:

Q: 1. Given: parametric curve H defined by r(t) = tan-¹ t and y(t) = e¹, where t € R (a) Find the slope…

A: Solved below.

Q: Calculate the volume of the solid of revolution generated by rotating the graph of the following…

A:

Q: For the cubic polynomial function f(x) = : ax³ + bx² + cx + d, find a, b, c, and d so that 0 is a…

A: Solution :fx=ax3+bx2+cx+d f0=2  givend=2   ... 1critical number :f'x=0f'x=3ax2+2bx+c3ax2+2bx+c=0c=0…

Q: Given the following sets: U= (Kazoo, French Horn, Guitar, Ocarina, Bamboo Flute, Viola, Saxophone,…

A:

Q: Find (a) v xw, (b) wxv, (c) vxv, and (d) wxw. v = i + 3j, w = 2i + 2j + 3k (a) v xw= (Type your…

A: Given query is to find indicated vector operation.

Q: Find the arclength of the curve x = - with 3 ≤ t ≤ 4.

A:

Q: Area of the Region and Volume of the Solid of Revolution Given: The region is bounded by the curves…

A:

Q: 14, which 12 54 32 9 27 of the following rule defines y as a function of X 13 18 101 69 350

A:

Q: Why did you take f'(x)=0 and from them I didn't understand, can you explain it a bit, its really…

A: We have to explain the term f'(x)=0.

Q: • Find the sum of the following convergent series. lim lim lim tan ¹ (2n+ 1) - 346 11 11 11 [tan…

A: Given problem:-

Q: 2) Let f be continuous on [a, b], differentiable on (a, b) and positive (i.e., > 0) for all x € (a,…

A:

Q: Find the surface area if C = {(x, y): 1 ≤ x ≤ 2,y = about the x-axis.

A: