The outer diameter of a spherical tank measures 6 feet. If the tank is made with a material % inches thick, estimate the volume of water it can hold. O 106 cu. ft O 29 cu. ft 876.5 cu. ft 99.8 cu. ft

Q: differential

A:

Q: Identify the equation of the normal line of the funtion f(x) = -3x at x=2

A:

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A:

Q: I. Read carefully the statements below. Write TRUE if the statement is always correct, otherwise,…

A:

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

A:

Q: Compute the flux of the vector field F = 2xi + 2yj through the surface S, which is the part of the…

A:

Q: Consider the following function. f(x) = x¹/9+8 (a) Find the critical numbers of f. (Enter your…

A: Solve the following

Q: Consider the curve C of equation : (x²-2y+y²)² = x² + y². From the following options choose the one…

A:

Q: Suppose g(t) = 1/t represents the position, in meters from the starting point, of some object…

A: Write the formula for the average velocity. Average velocity h = Displacement between two…

Q: 1 sin(x) and cot(x) = is a constant number. Recall that csc(x) = 3 cot(x) The ratio dx csc² (x) (Use…

A: Explanation of the answer is as follows

Q: Change from rectangular to cylindrical coordinates. (a) (3, 3, 4) (r, 0, z) =

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Evaluate the integral of the following using Miscellaneous Substitution

A: We have to find the integral.

Q: The manufacturer of color televisions can sell 1600 sets to his dealers at $427 each. If the price…

A: The manufacture of color televisions can sell 1600 sets to his dealers at $427 each. If the price is…

Q: Find the arc length of the graph of NOTE: Enter the exact answer. L || r(t) = √²ti + e-√²tj + 2tk,…

A:

Q: Calculate the derivative. g" (0), g(s) = es s + 11 (Give an exact answer. Use symbolic notation and…

A: Just I have used the quotient rule of derivative by taking derivative of given function two times…

Q: B. Find the equation of the family of curves whose slope at any point (x,y) is given and which…

A:

Q: 2. Evaluate fy³ dx-r³ dy, where C is the circle of radius 2 centered at the origin, in the following…

A:

Q: α 4" n=2 5n!

A:

Q: 3x hp Find for 2 Әх (2x + 3y) 5. Select the correct answer below: 15(2x + 3y) O 10(2x + 3y)4 О Зу 2x…

A:

Q: Each side of an equilateral triangle measures 3cm, with a possible error of 0.1cm. Using…

A: Given

Q: If R denotes a region bounded above by the graph of a continuous function f(x), below by the x-axis,…

A:

Q: y-gx cross-section base view The base of a certain solid is the area bounded above by the graph of y…

A:

Q: Write the given (total) area as an integral. * The area above the x-axis and below y = 4 - x^2 *…

A: 1)  consider y=4-x2  and y=0    Solve the above two equations   4-x2=0   4-x2=0   x2=4   x=±2Area…

Q: Identify the equation of the tangent line of the function: f(x) = 3x at x=2

A:

Q: Find a) any critical values and b) any relative extrema. f(x)=x² - 8x + 19 (...) a) Select the…

A: To find the critical values and relative maximum and relative minimum of the given function.

Q: The revenue from the sale of a product is given by the function R = 5000x-0.1x³ dollars. Use…

A:

Q: The length of the side of a square floor tile is 15 cm, with a possible error of 0.05 cm. Using…

A:

Q: Compute the surface integral over the given oriented surface: F=y³i+7j − xk, portion of the plane x…

A: We need to find surface integral.

Q: 4. The Bernoulli's form of the differential equation x'dy+ (2xy-y')dx=0 is

A: Given problem:- The Bernoulli's form of the differential equation x2 dy + (2xy - y3)dx = 0

Q: Find the volume generated when the area in this problem (Find the volume of the solid generated when…

A:

Q: Solve the polynomial equation by factoring and check the solutions graphically. x4-9x3+14x² = 0…

A:

Q: Blologist is monitoring the population of a rare species of Jackelope. The initial population size…

A:

Q: Find the arc length L of the graph of r(t). 1 r(t) = t³ i + t j + = √√61² k, L = i I 2≤1≤7

A:

Q: Using n = 2 equal-width subintervals, approximate the area of the region bounded by the graph of,…

A: This is a problem related to reimann sum calculation. Based on the general formula and concepts we…

Q: * Using trigonometric substitution to evaluate: find dx √ dx, √2x²-4x-7 (3√2)/2 cosø dø O (3√2)/2…

A:

Q: Evaluate 1.1² (2x − y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (3, -5)

A: Solving

Q: Consider the function: Step 1 of 2: Findf"(x). f(x) = = 2x + 7 5x - 10

A:

Q: Kuya Bill is selling 'Bill phones'. If the cost for selling a phones is given by 10000 C(x) = 120x +…

A:

Q: long as 1 235 times as long 235 times as long 235 times as long 360 235 times as long 2π 360 times…

A:

Q: 3. The Bernoulli's form of the differential equation x' ydx+(3x - y³ dy=0 is

A:

Q: Current Attempt in Progress Find the arc length of the graph of r(r). r(t) = ²³i+j+₂√6²² k, 25157 Li

A:

Q: Find all solutions of the equation in the interval [0, 21). COS +1=0 2x 3 Write your answer in…

A: This is a problem related to trigonometric identity. Based on the given interval and function…

Q: The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

A: Differential

Q: ∫sinx sin(cosx) dx

A: ∫sinxsincosxdxLet u=cosx=∫ -sinudu=-∫sinudu=--cosuSubstitute back u=cosx=--coscosx=coscosxAdd a…

Q: Consider the vectors. (-8, 10), (-48, 60) (a) Find the dot product of the two vectors. (b) Find the…

A:

Q: 3. Sketch the graph of y=-2 sin Show evidence of transformations. Clearly plot your points. y=-2 sin…

A: Given:       y=-2sin2θ-π3+4  This is in the form of y=asinbθ-c+d       Here a=-2                b=2…

Q: STU વપ (y-1) Ty

A:

Q: Question The total monthly cost of a family plan depends on the number of phones, p, and the GB of…

A:

Q: A circle is centered at an angle's vertex. The angle's rays subtend an arc that is 6.6 cm long, and…

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: To find the domain of rt and the value of rt0.rt=cosπt i-lnt j+t-16; t0=17