X -dx 3. Using a suitable change of variables, determine the indefinite integral: √1 x² [ (sin² x) (cos³ x) dx 4. Using a suitable change of variables, determine the indefinite integral: (hint: sin²x + cos²x = 1)

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

A:

Q: Find the average value of f(x) = sin³ x cos³x on the interval [0,1].

A: We need to find average value.

Q: 9. y = 3 Arcsec 3x

A: On solving this we will get

Q: Printegrating Factors (x² - Sin²y) dx + x sin zydy = o

A:

Q: Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2,2, -3).

A:

Q: Let f(x) = 2x³-9x² - 24x+2. a. Find all points on the graph of f(x) at which the tangent line is…

A: Topic = Derivative

Q: Choose the values that are in the range of y = arctan x. Select all that apply. ооо оо 0 ElFlo kio…

A: We have to choose the values that are in range of arctanThe range of arctan x is -π2, π2

Q: Write the equation in standard form. x 2 + y 2 - 8x - 4y + 12 = 0 ( x - 4) 2 + ( y + 2) 2 = 8 ( x…

A:

Q: Q7. A cellphone transmitter is placed at the top of a vertical tower. Cables are used to help…

A:

Q: The hyperbola in Position I opening up opening down in Position II y² x² 4 16 1 is

A: Topic :- geometry

Q: Q4: If f(x,y) = x²y + exy Siny Find 1) 2) (D = f), at po(1,0) in the direction of 0 = Po

A: Given problem:-

Q: MATHS HOME A 41. If f (x) = f[ta (A) 3-e^/4 4 J'a (B). tan((nx) +- dx & f(1) = 0, then f (e/4) is -…

A:

Q: a) x² x² + y² - 2² +22=1 ɔ) x² − y² + 2y + z² = 2 =) x² 4x − y² — z² = −3 d) x² - 4x − y² — z² = −4…

A:

Q: Convert the point with polar coordinates 9, 3 The point is: C M 2 3 4 5 6 wend W е t 1 9 C $ % Oll y…

A: Given query is to convert polar to rectangular coordinates.

Q: i. Given that log x=12, log, y = 15 and log, z = 18. Consider the following four logarithmic…

A:

Q: Find y" 13. y = x²sin (3x)

A:

Q: 1. Lim x-2 X x² - 4 x³ -x-6

A: Lets factor x3-x-6: x3-x-6=x3-2x2+2x2-4x+3x-6                =x2(x-2)+2x(x-2)+3(x-2)…

Q: 3. Worldwide annual sales of smartphones in 2013-2017 were projected to be a 9--10p+4,360 million…

A:

Q: dx In the next integral S x√25–4x² substitution is considered 2x = 5sin 0, after performing the…

A:

Q: 3. Use the given graphs to sketch the graph of f(x) + g(x). Explain your process. [A3] [C2] fox)…

A: We have to solve and draw the graph.

Q: 3. For the below ordinary differential equation with initial conditions, state the order and…

A:

Q: In the expression n (7) x²3² +3 z" •n is a real number • x, y and z are real numbers greater than 0…

A:

Q: 10. Find the indicated limit. x²5x - 14 lim x→7 x - 7 Show any work necessary

A:

Q: Find the centroid of the region bounded by the semicircle y = √a² -C O (0,5/4a) O (0,4a) O (0, a)…

A:

Q: For the function f(x) = 2x², find the difference quotient f(a+h) - f(a) h 4a + 2h h 4a²+ h 4 a + 2 h

A:

Q: a. Find an equation of the tangent line at x = a b. Use a graphing utility to graph the curve and…

A:

Q: Find the following, using no tables for any non-basic integrals. [31evoz d Did you remember your +C?…

A:

Q: Find the order and degree of e^y" - 3(y¹)² + 2xy = xe² and write the differential equation in noxmal…

A: Follow the procedure given below.

Q: ) Ted, Robyn, Barney, Marshall, Lily, Stella, Victoria, Tracy, Karen, and Holli line up for a…

A: Please refer to the image below

Q: For the function f(x) = 2x², find the difference quotient ƒ(a + h) − ƒ(a) h 4a + 2h h 4 a² + h 4 a +…

A:

Q: Gas is $5 a gallon. The vehicle gets 20 mpg. Tech makes $30 an hour. He speeds 15 mph over the speed…

A: Gas costs $5/gal  Mileage = 15 miles/gal  Thus, for every 15 miles he will pay $5 if he is not…

Q: HOME ASSIGNMENT #01 cosec cosec² x - 2009 A(X) 73. If -dx = - 2009 COS X (B(x)) 20 [0, 2лs (where…

A:

Q: Given: c = 8, a = 5, C = 67° C A B с Solve the triangle. (Do not round until the final answer. Round…

A: The Sine rule: asinA=bsinB=csinC   Given: c=8, a=5, ∠c=67°

Q: 2. For the below ordinary differential equation, state the order and determine if the equation is…

A:

Q: (c) 2x2(4x6)2 (d) (3x-2)-4-4

A:

Q: 5. (a) Find the particular solution of the differential equation x³ = 1-e²t if x(0) = 2.

A:

Q: Q/ f(x)=√√25-x² theorem at ce[ko], [= -√5 find K and f check the mean Value

A: Given problem:- f(x) =√(25-x2) and f check the means value theorem at c∈ [k, 0] , c=-√5 find k

Q: (3. 7/7) as Cartesian coordinates. Express the polar coordinates (3,

A: We have to express (3 , π/2) in Cartesian coordinates.

Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

A: Let's find.

Q: 1) How many 5 digit numbers can be made using the digits 5, 6, 1, 4, 9, 3, 2 if no digits can be…

A: According to our guidelines, we can answer only one question or three subparts of a question.

Q: Find the center of the circle whose endpoints of the diameter are (-2, 3) and 2' 2 (4.9) (-4,-2) O…

A: Topic = Geometry

Q: Solve right triangle ABC. (Round angle measures to the nearest degree and side lengths to the…

A:

Q: === =+ = ²x² 6 2x Find the arc length given: y = - on the interval [1,2]

A:

Q: 10) Given the following exponential function f, where c> 1. f(x)=p(c)(x-r) + s In addition, p 0, r>0…

A: Solved below.

Q: Describe the x-values at which f is differentiable. (Enter your answer using interval not X ≤ 0…

A:

Q: 1. Given function f, defined by the rule f (x) = a (c) bx + k Function fis represented in the…

A: Given that, the function f is defined by the rule     f(x)=acbx+k From the given graph , we can see…

Q: The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is…

A: We need to choose correct option.

Q: Determine the volume generated of the area bounded by y=√√x and y=-x rotated around x=5. 2 A 128/15…

A:

Q: 10x3, 5-x, = x < -2 x ≥ −2 Let f(x) 1. f(-2)= 2. lim f(x) = x→→2+ 3. lim f(x): = x→→→2 4. lim f(x) x…

A: The solution of 4 and 5 are given in the next steps.

Q: 8. y = x ¹ Arctan 4(x4)

A: