Show tkat cos (2 I +x

Q: 4-x Evaluate f dx. 16-x2

A:

Q: A tank is discharging water through an orifice at a depth x (m) below the surface of water whose…

A:

Q: b. = log(a + b) a If log + log- %3D a then we can conclude that O a. a-b-1 O b. a?-b2 =1 O C. a+b=1…

A:

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: The region is bounded by y=9-2x from y=0 to y=8 and x=0

Q: p(x) = sin x cOs x Select the correct response. Otan x O cos? r - sin? r COS sin? x – cos? x 1

A: p(x) = sinx/cosx here i think question is sinx*cosx any of the answer is not possible so the…

Q: Find the intervals of concavity of the function g(x)=2x4+9x3

A:

Q: Solve the following Initial Value Problem using Laplace transform: y" – 9y' + 8y = e-8t ; y(0) = 1,…

A: The given equation is  y''-9y'+8y=e-8t; y(0)=1,y'(0)=1

Q: 1 (x-1)(2x3+2x2+3x+2) x3 (x+1) dx

A:

Q: Determine all the critical numbers of the following function: f(x)= x² + 10x+25 a. None of these. b.…

A: Let us consider a function f(x). To get critical points of f(x) we put f'(x)=0

Q: Directions: Solve the derivatives of the following functions using the rules in differentiation in…

A: Note : As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: 4. If f(t) = 3 sin(4t + 0.12) – 2 cos(3t – 0.72) determine f'(t) when t 3 - %3D

A: Solving

Q: d.) lim f(x) = e.) lim f(x)= -3 -2 f.) lim f(x) = X-I*

A:

Q: 4. y = sec-1 Activities in Inverse Trigonometric Functions dy Find the dx 1. y = sin-12x – V1– 4x²…

A:

Q: The result of the following double integral is 2 SS T oxy²z dxdzdy = ? -2°0 None of he others O -21…

A:

Q: Question 3 of 10 u(x) = (tan? x – x²)³ Select the correct response. 3(2 sec a tan x - 2.r)(tan? x-…

A:

Q: Choose the suitable substitution for the method of reduction of order to find a second solution y2…

A: We have to find the second solution of the differential equation.

Q: 3. The height, in metres, of an object thrown from a rooftop is given by the equation h(t) = -x? +…

A:

Q: If a building contractor hires 8 day laborers and 2 concrete finishers, his payroll for the day is…

A:

Q: For Item # 9 - 10: A company manufactures fuel tanks for automobiles. The total weekly cost of…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Find dy/dx: а. y = cos t dt

A:

Q: a) If | f (x) de f(x) dx = 2, find 1 (3f(a) – 1) de. = 7 and || - /4 (b) Estimate the value of the…

A:

Q: 4 - x -dx. 16 – x2 III. Evaluate

A: Solving

Q: Q2/ Find the domain and range for the following functions 1) y = 2) y = x +! 3) y = 3+2 cDsx 4) y =…

A:

Q: The critical numbers of the function f(x) = x³ – 6x2 are x = 0 and x = -4. Select one: True O False

A: Given; fx=x3-6x2   As we know that; To calculate the critical numbers of the function, f'x=0.   And…

Q: -4 tan-(x) dx 1 Find (x + 1)2

A:

Q: The rational function 320t V(t) t +3 models the velocity, V(t), in miles per hour, of a dragster t…

A: Distance

Q: / Graph the following functions ( 1) y = 4 sin x 2) y = cot x %3D 3) y = csc x %3D

A:

Q: A particle moves with acceleration a(t) = 10 sin t + 3 cos t, s(0) = 1, v(0) = 2. Find s(t).

A: We have to find s(t)

Q: What is the volume of the solid formed by revolving the region bounded by y? = 4æ and a = 4 about…

A:

Q: Solve using chain rule 1. y=(2x+1)(4x-3)^3 2. y=x √ 9-x^2

A:

Q: III. Evaluate 4 - x -dx. V16 – x2

A:

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

A:

Q: VI. Write the equation of the line that has the indicated slope and contains the indicated point.…

A: We know that equation of line passing through the point (x1 ,y1) and having slope m is,…

Q: Evaluate the triple integral. xyz dV, where G is the solid in the first octant that is bounded by…

A: Let's find.

Q: 5. A wooden rectangular box is to be made having dimensions 3 ft, 4 ft, 5 ft. The cost of the wood…

A:

Q: log54 (x) can be a negative irrational number. Select one: O True O False

A:

Q: A. Direction: Find the equation of the tangent line of the following functions at the specified…

A: As per our guideline we supposed to answer only first question with  3 subparts slope of the tangent…

Q: Evaluate 4x2 + 4x + 5 dx

A: ∫4x2+4x+5dx=∫4x+122+4dxLet u=x+12.=∫ 2u2+1du=2·∫u2+1duLet…

Q: If f(x) = x² m2. find f'(2).

A: We will use simple differentiation rules to solve these questions.

Q: Answer the following problems using the specified method up to four (4) iterations only. Round off…

A:

Q: Evaluate the integral sin* r cos r dx. (a) sin' z- 1 sin r + C

A:

Q: If a > b, it is possible to have log,(a) < log,b). (As usual with logarithms, a and b are positive…

A: From the rule of logarithmic inequality, If x &gt; y , then logax&gt;logay if x, y&gt;1 If x &gt; y…

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

A: In this question we have to find volume by revolution of the given curves.

Q: 2. 3x 1. 12xe dx

A: We have to find integration.

Q: cos 2ot) Wheré w iš a -3(1-cosh 377t) 4.

A: Given problem :- 4.  -3(1-cosh377t)/t  Find laplace transformation of given f(t) function

Q: Given the following optimization problem: max(500-q)q-50q p*=275 O True O False

A:

Q: 1. 2) (EF Simplify and find the value of (2) loga-1)2) log a - (2) 1) as a single log 2a1) logarithm…

A:

Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). ||r(t)||* r(t) = e"i+e-tj K(t) =

A:

Q: Describe the graph of the equation. r = 6 sin 9t i – 6 cos 9t j O Itis a circle of radius 6 in the…

A: Given curve  r= 6sin(9t)i-6cos(9t)j =xi+yj So, x=6sin(9t) , y= -6cos(9t)

Q: Question 4 of 10 m(x) = sec²(e2r+1) %3D Select the correct response. o e2a+1 e2u+1 sec(e2+1)…

A: I am attaching image so that you understand each and every step.