Determine the integral using the substitution u = √√x+11. √(x +11) 1/2 √x+11 dx

Q: 8. Megan went clothes shopping and bought 2 pairs of flare jeans, 2 camisoles, and 4 T-shirts for…

A: Let's use algebra to represent the prices of the clothing items. Let x be the price of a pair of…

Q: Evaluate ff xdxdy where R is the region bounded by x=2, y = 0 and y = x

A:

Q: Find all exact solutions on the interval 0 < x < 360°. If there is more than one answer, enter them…

A:

Q: Consider the following. Find f'(x). f'(x) = f(x) = 5x - 60x1/3 X = 5- 20 6|N X Find all critical…

A:

Q: Find the cube roots of 125i. (Enter your answers as a comma separated list.) Sketch these roots in…

A: The given complex number is By De Morive's theorem The nth root of a complex number is

Q: Consider the triangle below (not drawn to scale). ہے a= a Let b = 9, ZC = 40° and /A = 45°. Find the…

A:

Q: Find the indefinite integral. [9√ w dw = +C

A: We know that,.We have to find the integration of .

Q: Refer to the graph shown below and evaluate Ĵ 1941 CH - 4 f(t)dt.

A: Consider the figure

Q: Given f(x)=x³32, find f'(x)

A:

Q: Find and simplify the difference quotient f(x) = 8 f(x+h)-f(x) h h#0 for the given function.

A:

Q: After the release of radioactive material into the atmosphere from a nuclear power plant at…

A:

Q: If f(x)= g(x)/ x, and g(x)= x + cosx  (defined at interval 0, 2π) Find the slope of the tangent…

A: Given that the expression f(x)= g(x)/ x, and g(x)= x + cosx  (defined at interval 0, 2π) we have to…

Q: Let y = ln(1 + x²). Find the differential dy when x = 1.4 and dx 0.6. = Enter your answer as a…

A: Let .To find the differential  when .

Q: The sales of a new high-tech itern (in thousands) are given by S-104-8003 where t represents time in…

A: The rate of change is equal to derivative of function given.So at first we would differentiate S(t),…

Q: Stoite the Fundamental Theorem of Calculus?

A: we need to write down the fundamental theorem of calculus.

Q: below. nowing question about the functions whose derivatives are given What are the critical points…

A: Since we are given with multiple number of question answer will be according to the guideline Given…

Q: A curve with polar equation r = 28 5 sin +41 cos 0 represents a line. This line has a Cartesian…

A: A curve with polar equation represents a line.To find the Cartesian equation of the line in the…

Q: Question Details Given VxF= 2yj, what can we say about the vector field F? (Select all that apply.)…

A: We have to use the concept of curl of vector field

Q: 2 sin(x) cos(x) + √3 sin(x) = 0 Find all angles in radians that satisfy the equation. For each…

A: The given equation is

Q: Let f(x) = 3x - 6 and g(x)=x+3. Find each composite function and describe the domain of the…

A:

Q: 8. The largest angle of a triangle has a measure that is 10 degree less than three times the measure…

A:

Q: 6. Find the equation of the line tangent to the following functions ate the given points. a. y = x²…

A:

Q: Solve the following problem and show your complete solutions. 3. Find the area bounded by y = x³; y…

A: To calculate the area bounded by the curvesy=x^3 and y=4x^2

Q: Evaluate the following improper integral. So e 0 e-bt sin (at)dt, where b=2, a=1 Round your answer…

A:

Q: A 17 ft. ladder is leaning against a building. The foot of the ladder is currently 9 ft. from the…

A: We have to use the concept of derivatives

Q: Hello, I need to evaluate the limits below but the grahp is made on paint, sorry about that.…

A: Given graph of function

Q: Find all exact solutions on the interval 0 < 0 < 360°. If there is more than one answer, enter them…

A:

Q: g. y = tan x h. y = t+√√2t+√1-5t

A: To find the derivative of the following functions.

Q: e area of the blue region. It is the area under the curve. y 10 8 6 4 2 y = 3x+1 y = 6-x X 1 2 3 4 5…

A: The graph of the function is given.The aim is to find the area of the blue region.

Q: Find the area under the given parametric curve over the given interval. x = 4t³ - t²; y = t4 + 2t²;…

A:

Q: g(t) = t³+ t².

A: g(t)=t3+t2

Q: Evaluate [xy dx + (x + y)dy along the curve y = x² from ( − 1,1) to (2,4). C S xy dx + (x + y)dy = C…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: 5. Example: The graphs of f and g are given. Use them to evaluate each limit, if it exists. If the…

A: A graph of the functions  and  are given.The aim is to find the following,(a) (b) (c) Note:  Since…

Q: Find a power series representation for the function. ( ) = n( 11 + y )

A:

Q: Find the integral. Use C for the constant of integration. | (x² (y² + 3)² dy

A: The objective of the question is to find the integral of the given function with respect to y. The…

Q: ∞ 4. Apply the Ratio Test to the series [ the limit lim n→∞ (3n)! n=12¹ (n!)3 an+1 an and find

A:

Q: 3 x¹ +1 dx

A: The given integral is (x4+1)/x2, limit from 1 to 3.

Q: Find the domain of f(x). ƒ(x) = √6x + 6

A: Given that a function of f(x) and we find the domain of the f(x).

Q: Find all exact solutions on the interval [0, 27). If there is more than one answer, enter them as a…

A:

Q: A child flies a kite at a height of 40 feet, the wind carrying the kite horizontally away from the…

A: Height of the kite from the ground= 40 feetThe horizontal speed of the kite= 25

Q: Find the centre of mass of the region between y = x x² and y = x³ from x = 0 to X = 1.

A: The objective of this question is to find the centre of mass of the region between the curves y =…

Q: A small resort is situated on an island that lies exactly 6 miles from P, the nearest point to the…

A:

Q: A water tank has the shape of an inverted cone with height 9 m and top radius 8 m. If V and h…

A:

Q: 11. Use the graph of f to sketch the graph of f'.

A: The given graph of f

Q: 1. Find the area between the two curves. Be sure to show the representative rectangle in the 1st…

A: Given functions are,y=f(x)= 8 cos x and y=g(x)= sec2x

Q: 1. Find the derivative of the following functions: a. y = x² b. y=x4 c. y=- X

A:

Q: Given f is concave down and ƒ (4) = −2 and f1 (4) = 3. What is the estimate for = 4? Is it an…

A:

Q: Find the center, foci, and vertices of the ellipse. Graph the equation. 4(x+4)² +8(y - 3)² = 32 Find…

A:

Q: Rocky Mountain Tire Center sells 7,000 go-cart tires per year. The ordering cost for each order is…

A: a) Given that:Annual Demand (D) = 7000Ordering Cost (S) = 40Holding Cost (H) = 30% of Purchase…

Q: 6. 14 ) Consider both geometric series below. 3 SA = 00 Σ n=1 5n and SB = M8 n=0 3 5n Both SA and SB…

A: