1. Use the piecewise function below to answer the following and sketch the graph. (3x - 12, -1≤x≤5 6, x > 3 Piece 1 f(x) = Piece 2

Q: 4. /xln2xdx хрх

A:

Q: Evaluate the integral 27 fa² (2³ – 3)" dx, by making the appropriate substitution: u = 27 fa" (x³ −…

A:

Q: Find the double integral by changing to polar coordinates. (Express numbers in exact form. Use…

A:

Q: Evaluate: [(10+32³ +52¬² + z² A B Ⓒ D 10z+32³ +++ C 10z+32³+2+C 10z+2³+-+C 102 +2+32 +C

A: we knoe that  ∫xndx=xn+1n+1+c

Q: Evaluate: ľ In(x) x² dx =

A: We have to solve given Questions.

Q: 7. g(x) = f' √t + 1² dt

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

Q: Question Determine the second derivative of the parametrically defined curve represented by the…

A: given  x(t)=2t2-2t+4            y(t)=-8t3+8t2+4t+2dtndt=ntn-1d dt(ab)=bdadt-adbdtb2dydx=dydtdxdt

Q: The height (in meters) at time t (in hours) of a balloon is given the formula h(t) = -20tª + 80t.…

A: The height (in meters) of a balloon at time t (in hours) is given by ht = -20t4+80t…

Q: part 1 of 3 Evaluate at 2. g(x) = part 2 of 3 Find g(-5). part 3 of 3 Find g(6). 1 x −6, x≤2 x-5,…

A:

Q: 1. Fill in the table below. (x, y) (-3,0) (4,3) (0,5) (r, 0) 5, π

A:

Q: Evaluate the following integrals. 1. 2 xe e²x dx

A: according to bartleby guideline we do only first part of multiple  1)   formula for integration by…

Q: D.E Linear in y y' = x³ - 2xy → when x = 1, y = 1

A:

Q: f(x) = 18x²-x4

A:

Q: 10. The area between two curves is expressed as: A = [f(x)-g(x)]dx If a horizontal element of area…

A:

Q: Evaluate the definite integral. 2 8xex2 dx   0

A: Given query is to find the integral

Q: Find the points on the cone z² = x² + y2 that are closest to the point (4, 2, 0). (x, y, z) (smaller…

A:

Q: The universal set is U = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}. If A =…

A: The universal set is U = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}. and A =…

Q: Find the flux of the constant vector field =-i-2j+2k through a square plate of area 9 in the…

A:

Q: Problem 5. the Ratio Test. (a) M18 πη n! n=1 State whether each of the following series converges or…

A:

Q: 1. Sketch a graph of a continuous function that satisfies all of the following conditions. i) f "(x)…

A: See the answer below

Q: An isosceles triangle is inscribed in a circle of radius 20cm. Find the dimensions of the largest…

A:

Q: [₂ (7t² + t + 1) dt -3

A:

Q: Find the absolute maximum and absolute minimum values of the functia f(x)= x³ - 6x² - 63x+7 over…

A:

Q: 2. Find the values of r for which the differential equation has a solution of the given form. a.…

A:

Q: Evaluate the integral dx (6x + 9) ³¹ by making the appropriate substitution: U= f dx (6x + 9)³

A:

Q: Write the composite function in the form f(g(x)). [Identify the inr y = tan(x5) (f(u), g(x)) =…

A: Solution: Given data, y = tan(x6)

Q: Problem 5: Find the two points on the curve y = 2x² that are closest to the origin. (Explain why x =…

A: NOTE: Refresh your page if you can't see any equations. . as we can see the given function is a…

Q: Suppose f(x) is continuous on [2, 7] and -3 ≤ f'(x) ≤ 3 for all æ in (2, 7). Use the Mean Value…

A:

Q: Solve the FIRST ORDER LINEAR D.E. Linear in r dr sin 0 = -1- 2rcos 8 de

A:

Q: 6. 4. 2. 2 Use the graph to determine lim f(x). x →4 1. limit = 7 2. limit= 5 3. limit does not…

A: Given query is to find indicated limit form the graph.

Q: he altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A:

Q: A 25-year old woman burns 300 - 20t cal/hr while walking on her treadmill. Her caloric intake from…

A: intake cal=140tburns cal =300-2t∫xndx=xn+1n+1+c

Q: Consider the line y = ax, where a is a positive constant. What is the shortest distance between the…

A:

Q: Find the area of the region under the graph of the function f on the interval [3, 7] . f(x) = 6/(x ^…

A:

Q: SHOW FULL SOLUTION AND EXPLAIN. INTEGRAL CALCULUS. 1. Find the area bounded by y=lnx, x=e^2 and the…

A:

Q: Problem 7. series converges or diverges and mention the test you are using. Show all work. 00 (2) Σ…

A: To solve this problem we can use p-test , comparison test and root test

Q: blem 3. : Use the Comparison Test to determine w 1 Σ In(n) n=2

A:

Q: /3 ㅠ ㅠ Given that 1 ≤ tan(x) ≤ √3 on [1,1], estimate tan(x) dx. 4' 3 < f/3³ tan(x) dx <

A:

Q: Estimate Ay for y=2x² +8x+2 at x = 1 and Ax=0.4. Round to 3 decimal places.

A: Given,            y=2x2+8x+2 at x=1 and △x=0.4To find : Estimate △y, round to 3 decimal places

Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the…

A:

Q: x1 --- X2 X3 X4 x5 (For each question, enter your answer as a comma-separated list, e.g., x1,x3,x5.…

A: keeping a note ?as per our company guidelines we are supposed to answer ?️only first 3 sub-parts.…

Q: 134 134 Suppose that a 17 and b₁ = 7. Compute the sum. 134 Σ(12a₁ + 17b;) i=1 Question Help: Message…

A: given  ∑i=1134ai=17∑ bi =7i=1134

Q: J 4 √ (61 0 (6t - 3) dt

A:

Q: D- xp(x + 2x)² ]

A: Given query is to find the integral.

Q: Use summation properties and formulas to rewrite and evaluate the sum. 29 k=1 100(k² − 6k + 1) -

A:

Q: Determine if the vertex of the graph of the equation is a maximum or minumim point. y=x²+4 vertex is…

A: Given query is to find verteyis maximum or minimum.

Q: 15 A company's marginal cost function is c(x)=- where x is the number of units. Find the total cost…

A: NOTE: Refresh your page if you can't see any equations. . the given marginal cost function is

Q: Find the work done by the vector field F = xi + 2xyj + 3xyzk on a particle that moves along

A: Let's find work done.

Q: 5. Given A(1, 2), B(4, 9), and C(-4, 8), find the measure of ZA.

A:

Q: Find the volume formed by rotating the region enclosed by: x = 7y and y³ = x with y ≥ 0

A: