8 – a? if – 2 <æS 2 If f(x) = | f(2) dæ is a number then if æ < -2 or a > 2 between O 8 and 16 O O and 8 O 16 and 24 O 16 and 33

Q: dy Find for dx 4) y= sinxtanx

A:

Q: The smaller the curvature in the bend of a road, the faster a car can travel. Assume that the…

A:

Q: = (7, –2) am

A: Given; u=&lt;7,-2&gt;            v=&lt;-4,5&gt;

Q: The rate of decay of radium is proportional to the amount present at any time. The half-life of…

A: The understanding of radioactive decay is required. The explanation part is given below.

Q: pe of a trail at a distance of x miles from efinite integral of f(x) from x=3 to x=5

A: answer is in next step

Q: d Calculate ri(t) · r2(t)] and d [ri(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: dx 2. x?V4-x2

A: Let x=2sin(u)⇒dxdu=2cos(u)⇒dx=2cos(u) du  and u=sin-1x2 ∫dxx24-x2=∫2cos(u) 2sin(u)24-2sin(u)2du…

Q: Find V x (V x F) if F(x, y, z) = xyj+2xyz k. V x (V × F)

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Q: Find the partial derivative. z = (x2 + 4x – 2y)° -

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Q: Since y"|? v0 at x = -1/2 e we have a relative minimum at the point (c, f(c)). Substitute c = 5e¬1/2…

A: Solve it

Q: Ow dw Find dx' dy and dz using implicit differentiation. Leave your answers in terms of x, y, z, and…

A:

Q: The sum of one number and five times the second number is 50. A. What are the numbers so that their…

A: Let the first number be 'x' second number be 'y'. A/q  x+5y=50⇒5y=50-x⇒y=50-x5 The product of first…

Q: /hat trigonometric substitution should be used to evaluate A x=3 tane B None C x=3 sece D x=3sin0 E)…

A: Solution:

Q: 3. Find the area of one of the sine curve.

A:

Q: The particular solution that satisfies the differential equation and the initial condition of dy/dx…

A: topic- differential equations

Q: dP/dt= P(P − 10),

A: answer is in next step

Q: x++ dx 1.

A:

Q: Using the fundamental theorem of calculus, find the derivative of the integral -3x+2 t -dx 1+t3

A: We have to find derivative of given function.

Q: A farmer finds that if she plants 85 trees per acre, each tree will yield 65 bushels of fruit. She…

A: answer is in next step

Q: 3 dy Зу =-sin -1 +C 4- 9y2 3 A True False B.

A: The given integral is 3/sqrt(4-9y2).

Q: Find the exact area under the curve between the indicated values of x. y = between x = 1 and x = 4…

A:

Q: ||F(t) × r"(t)|| ||r(t)||* Use the formula k(t) = to find k(t). r(t) = e""i+e-tj K(t)

A: To find out the k(t).

Q: The most conveneient way to evaluate ²–4 by substitution is to let x2-4 =y A True B) False

A: Yes the statement is True, the substitution is the most convenient way to compute the integral

Q: Find the standard form of the equation of the parabola with the given characteristics and vertex at…

A: The directrix is the line y =-3, this is a horizontal line. The vertex is at the origin (0,0), so…

Q: Evaluate the double integral using single applications of Simpson's 1/3 rule 2 (x2. 3y2 + xy³) dx dy…

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Q: Determine if the following functions are odd, even, or neither. Provide reason. (a) f(x) = x² (b)…

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Q: Find the indefinite integral. (Use C for the constant of integration.) tan2 dx secº x

A: Solve the following

Q: 2. Find S +l" dudy by first snitching the order of integration 4

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Q: integral using ir

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Q: Find the area of the plane region bounded by y = x°, x = -2 andx= 2:

A: According to the company rule we can answer only first question and rest can be reposted.

Q: A stone is thrown vertically upward from the ground with an initial velocity of 128 ft/sec. How long…

A:

Q: -3/2 Substitute c = 5e¬ in f(x) = 4x² In() and find f(c). 5. R6) = «(se-3/2}* in(3e2) AC) =…

A:

Q: The most conveneient way to evaluate xx2-4 by substitution is to let x2- A True B) False

A: We have to find out

Q: Wage Gap Between Men and Women The bar graph shows the wage gap between men and women for selected…

A: To find G(10) and interpret it.

Q: Describe the graph of the equation. r = 3 cos t i – 18 sin tj+ k O An ellipse in the plane z = 1,…

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Q: dt, if we let V Vt+1-2, then dt is equal to A (4x³+2)dx B None © 2(x²+2)dx D 4x³dx E 4x(x²+2)dx

A:

Q: Which integral corresponds to the area of the shaded region between the curves y = |a² – 4| and y =…

A: To find the area of the shaded region.

Q: The points P(-2,1), Q(-6, 4), and R(4,3) are three vertices of the parallelogram PQRS. Find the…

A: Given: Vertices of Parallelogram P(-2,1), Q(-6,4), R(4,3)

Q: k(x) = 22.8 cos (0.3(x – 72.29)) – 2.9 1(x) = 0.5e (-x+82.762) - 25.7

A:

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Foci: (0, -…

A: The given ellipse has Foci 0,±2 and vertices 0,±6

Q: Find the differential equation whose general solution is y = c,x + Cze* . A. (x – 1)y" – xy' + y = 0…

A: The simplest approach to do this question is to verify through options.

Q: Determine whether the following series converges or diverges: 8 /n(n+ 1)(n + 9) Input C for…

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y1…

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Q: csc?y dy is equal to A -у соty — coty dy B) None у сoty — coty dy D у сoty + coty dy

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = -x2 -…

A:

Q: 5y'' + y = 0 y(x) =

A: Consider the differential equation  5y''+y=0

Q: The general solution of the differential equation dy/dx = 12x³ is y = 4x3 + C. Select one: O True O…

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Q: A projectile fired downward from a height of 112 ft reaches the ground 2 seconds. What is the…

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Q: S- (1+x?) ? x*dx U sing trigonometric substitution, / 3 tan Od0 (A sect sec 9d0 (B tan20 C) None…

A: topic- indefinite integral using trigonometric substitution 1+tan2θ=sec2θ

Q: One of the correct steps to evaluate x2Inx dx to yield the correct integral

A: Our Aim is to identify the correct step to evaluate ∫x2 ln (x) dx to yieldthe correct integral.