Find the Domain of 3=|7x-31 (x¢4/

Q: Q4. (a) Evaluate the definite integrals: (i) ſ(2 – 5/1 – x² }tx_ (ii) [sin 2x cos 2x dx (iv) [": 'V1...

A:

Q: A circular swimming pool has a diameter of 8 meters. The sides are 4 meters high and the depth of th...

A: Using fluid concept

Q: -sin20 + C , then f (0) =-cos20. 2 A True B) False

A: Solution: f(θ)=12cos2θ

Q: Obtain the Taylor series expansion of the function f(x) = cot x centered at a 4

A:

Q: approximate the value of 1 dx with 6 subintervals by x2 +1 using: a) the Trapezoid Rule b) Simpson's...

A:

Q: f(x) = 2x2 + 10, g(x) = 4x + 16

A: Sketch the curve f(x) and g(x) in same phase

Q: 4- y 2- 4 10 12 -2- -4 (a) I f (2) da = 10 (b) f (x) dx = 12 (c) A f(2) da = -5

A: To solve the following problem

Q: Edgar the engineer uses many complicated equations in his work. Before doing lengthy and time consum...

A: Hey, since there are multiple subparts posted, we will answer the first subpart as in b it asks to r...

Q: Find the partial fraction decomposition of the function. Write answer in simplest form. 10 b) f(x)= ...

A: Given that: f(x)=10(x-1)(x2+9)

Q: Directions: Use the circle below to solve for the missing values. 1. What is m CI? 2. What is m ∠I...

A: Given that:               NOTE: As per our answering guidelines, we can only answer 1 question or 3 ...

Q: 6. PARTIAL DERIVATIVE OF MULTIVARIATE FUNCTIONS Find and for the following function. z* sin (y") + x...

A:

Q: 0.2 0.4 0.6 0.8 1.0 (sec) s (ft) 0. 0.5 1.5 4.0 6.4 9.6 (a) Find the average velocity over the inter...

A: Given that:                          

Q: Suppose that a particle moves along a straight line with velocity defined by v(t) = t 2 – 3t – 18, w...

A: Given,           Suppose that a particle moves along a straight line with velocity defined by       ...

Q: (-x³ + 3x² + 1) dx 2) (x* + x³ – 4x² + 6) dx -2 3) 12x + 13) dɔ 4) -x³ + 3x² – 2) dx

A: Follow the procedure given below.

Q: Determine the derivative of f(x) = 3 x² In x with respect to x. f'(x) = |

A: We have to find f'(x)

Q: Evaluate the definite integrals using properties of the definite integral and the fact that 4. 4 Lfe...

A: given : ∫-52f(x)dx=-3 , ∫24f(x)dx=8 , ∫24g(x)dx=8(a) ∫-5210f(x)dx=10∫-52f(x)dx=10×(-3)=-30 ∫-5210f(x...

Q: Find the DE of each of the following by eliminating the arbitrary constants. 3 tan x– 2x°y = c

A:

Q: Use differentials to approximate the change in cost corresponding to an increase in sales (or produc...

A: Solution ) c = 0.075x2 + 6x + 2  with dx = 1  differentiate with respect to x  dc/dx = 0.075 × 2 x +...

Q: For the function f(x) = sec x, which of the following are not possible values of f(x)? Choose all an...

A: From the definition of secant function, the range of secant function, y = sec (x) is y∈(-∞,-1]∪[1,∞)...

Q: f(z) can be written in the form of g(z) 47x + 2 The partial fraction decomposition of 12:2 + 5x – 2 ...

A:

Q: Given the following, find a. df b. Af a. y =x² – 3x + 4 b. y = 4x – 3x+1, x= 2 and Ar=0.2 1 c. f(x)=...

A: 1st question have not given any value of x . But rest of that are given complete data. We have to fi...

Q: y = C,e²x cos(3x) + C2e2x sin(3x)

A: y=c1e2xcos3x+c2e2xsin3x  differentiate with respect to x dydx=C1(e2x3(-sin3x)+2e2xcos3x)+C2(e2x3cos3...

Q: 1. y'dx-(ty+ y*Jdy = 0 Let the substitution y=2; y=vx; dy=vdx+ xdv

A: Given:

Q: Calculating Mass from Linear Density. Mass-Density Formula of a One-Dimensional Object. Given a thin...

A: Topic:- application of integration

Q: On the domain of (-27, 27), for which of the following values of x will sin x = csc x? Choose all an...

A:

Q: ()- 2y on [–10, 15]. Determine the absolute extrema of f (y) = sin

A: Here we have to find the absolute extrema.

Q: Find the Taylor series expansion of f(x) = x – x³ at a = -2 Select the correct response: 6 – 11(x + ...

A:

Q: [5tan 20 elan 28 sec? 2 Bd B 1.

A: Gievn, ∫5tan2βetan2βsec22β dβ We can solve this by substituting u=tan2β  

Q: Solve using homogeneous differential equation y'dx- (xy + y° kty = 0 Let the substitution y=? 2; y=v...

A:

Q: Eliminate the arbitrary constant in the equation: a.) x²y = 4+Cy b.) y-x = C1e^x + C2e^-2x c.) y = 2...

A:

Q: Question 20 Determine the vertex V, focus F, and the equation of the directrix of the parabola (y- 4...

A:

Q: The augmented matrix of a linear system has been reduced by row operations to the form shown. Contin...

A: topic - solution of linear equations using matrices

Q: Find the centroid of the region bounded by the gi 1 y = 0, x = 1,x = 3 %3D %3D

A: Given:y=1/x ,y=0 ,x=1 and x=3 Find: the centroid of the region bounded by given curves.

Q: (siny – 2ye*sinx)dx +(cosy + 2e*cosx)dy = 0

A: Given differential equation (sin y -2ye-x sinx ) dx+ (cosy+2e-x cos x ) dy=0

Q: Which of the following is not in the domain of tan(x)? Select all correct answers.

A:

Q: Consider the following. f(x) = x* + 3 Find f'(x). f'(x) = Find the value of dy when x = -4 and dx = ...

A: f(x)= x4+3  Find 1) dy/dx  2) dy when x= -4 and dx= -0.01  3) ∆y when x= -4 and ∆x=-0.01 

Q: Write an expression for the distance w in terms of x. - 2y +1

A: Topic:- geometry 

Q: find the vector equation of a plane that contains the intersection line of x + y + z = 1 and x – y +...

A:

Q: Initially 100 milligrams of a radioactive substance was present. After 9 hours the mass had decrease...

A:

Q: 2) Use the change of variables formula and an appropriate transformation to evaluate fſ, xy dA where...

A:

Q: Find the Laplace Transform of the given function. Show your solution completely and box your final a...

A: Given that: f(t)=t2sin2t

Q: Beth is filling a small backyard pool with a garden 647. hose. The pool holds 30 gallons of water. A...

A:

Q: x*dy+ (2.xy – y² }tx = 0 Let the substitution y=²; y=vx; dy=vdx+ xdv v = =

A:

Q: tant dt. 1+ t2 F(x) = 1-2т

A:

Q: Part 1. Setup the integral that will give the mass of a metal rod that is 1l inches long (orientated...

A: length ofrod = 1 inches density of rod ρ=4x lb/in

Q: A scientist places 2222 mg of bacteria in a culture for an experiment and he finds that the mass of ...

A:

Q: II. Application of Derivatives 3. Find the tangent line to f (r) = (2– 4x²)° at z = 1.

A:

Q: h" (t) = sec? t – Vt, h(0) = -3, and h'(0) = 3. %3D

A:

Q: What is the differential equation of the family of lines whose sum of the intercepts is fixed as k ?...

A: Given:  What is the differential equation of the family of lines whose sum of the intercepts is fixe...

Q: x- 1 (i) y = () y = Vx(Vx+1) x + 1

A: