3. y = 12 – 3x, y= 4 – x2

Q: cos-1(2 x2)

A:

Q: Find the area enclosed between the curve y = 9- x squared and line y = x + 7 A 2.5 B 3.5 4.5 5.5

A:

Q: S sinxcos(2x)dx

A: We need to evaluate the following integral I = ∫sinxcos2xdx Formula Used: ∫xndx = xn+1n+1+C

Q: Use the guidelines of this section to sketch the curve. х — 5 f(x) x2

A: f(x)=x-5x2Plotting on graph on corrdinate axes

Q: 2. Given the graph of f'(x), sketch a possible graph of y = f(x). Make your thinking clear using con...

A: We have to draw the graph of f(x).

Q: Question 13 Solve the problem. Find parametric equations for the normal line to the surface x² + 2xy...

A: Find parametric equations for the normal line to the surface x2 + 2xyz + y2 = 4z2 at the point (1, 1...

Q: Express the function f(x) = g(x)"(×) in terms of the natural logarithmic and natural exponential fun...

A: Apply natural logarithm to the expressions on both sides of the given function fx=gxhx. logefx=loge...

Q: Determine the equation of the plane that contains the lines L1 and L2. z = -1-4t y = 5+ 3t, L2: x = ...

A: The lines are on the plane therefore the lines will be parallel to the plane.

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 17 + 4x - x...

A: Given function f(x)=17+4x-x2   ; [0,5]

Q: Differentiate each function with respect to x. 2. y = (-3x5+ 1)3 3. y = (-5x3 – 3)3 4. y = (3x3 + 1)...

A:

Q: 1. Let f(x) = 1– x2/3. Show that f(1) = f(-1). This means that by Rolle's the- orem there should be ...

A:

Q: How did he get this amount please explain step by step and clear line please (Sin'o -cos'o ) do 4sin...

A:

Q: If f(x) = 4x – 6, find the inverse function. f(x) =

A: Topic:- function 

Q: Approximate the following integrals using the Trapezoidal rule. c0.25 (cos x)? dx b. x In(x+ 1) dx a...

A:

Q: the following statement true? If it is true, explain why it is true. If it is false, give an example...

A: Is the following statement true? If it is true, explain why it is true. If it is false, give an exam...

Q: pls solve the differential equation (2y^2 + 2y + 4x^2)dx + (2xy + x)dy = 0; when x = -1 and y = 0

A:

Q: find the area of the Shaded Part AUsing Polar y =2X

A:

Q: Evaluate the given integral by changing to polar coordinates: Sl. x²y dA, where D is the top half of...

A:

Q: Consider the following. u = -9i – 4j – 2k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find...

A:

Q: Jean throws a boomerang whose trajectory is given by the vector function: F(t) = +5 cos (t),20+5 sin...

A:

Q: 2 x = 8 – y, x=y¯ - 8 ?, x =y² - 8

A:

Q: 4. What is the volume of the prism? 4.6 in 5.1 in 2.1 in 13.6 in 2.8 in

A:

Q: A 500 gallon tank initially contains 50 gallons of brine solution in which 28 pounds of salt have be...

A:

Q: 2. (a). Use linear approximation to estimate V143. (b). Compute the percent error in your approximat...

A:

Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations. xy =...

A: Area , A = ∫∫R dydx or  ∫∫R dx dy.

Q: Suppose c is a constant. If ) elk-1)c – 3, then k=1

A:

Q: Find the area bounded by y = 2 -x squared and y = x A 9/2 7/2 5/2 3/2

A:

Q: Sketch the region R whose area is given by the iterated integral. *16 – y² dx dy 14 12 10- y 8. 4 2-...

A: Solve by using graph

Q: Sketch the regien enclosed by the given curueS Y = xe*

A: Question- Sketch the region enclosed by the given curves: y = x2 e(-x) & Y= x e(-x)

Q: solve the integral: integral from negative infinity to positive infinity [ (1)/(4x2 + 4x + 5) ] dx

A: The given integral is ∫-∞∞14x2+4x+5dx we find the value of the integral using proper substitution.

Q: Obtain the solution to the following differential equations: 1. y'+3y=e", y(0)=4

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: 6. On a certain workday, the rate, in tons per hour, at which unprocessed gravel arrives at a gravel...

A: 6) Given that the rate in tons per hour at which unprocessed gravel arrives at a gravel processing p...

Q: 20. (x² + 1)e¯* dx

A:

Q: Consider the following. (If an answer does not exist, enter DNE.) F(x) = x/9 – x (a) Find the interv...

A:

Q: Find the equation of the tangent line at the given point. 1. y²e* = 3y + x² at (3,0) 2. x*+ y? = 3 a...

A: 1)y2ex=3y+x2Differentiate w.r.t x2yy'ex+y2ex=3y'+2xSubstitute (x,y)=(3,0)2(0)y'e3+02e3=3y'+2(3)0=3y'...

Q: 1 Scos 3x sin* 3x dx 1.

A:

Q: Evaluate the integral. dx J x4+7 Inx) A In 14+7 In x| +C B In 14+7 In x| +C © O In +C |7+4 In x| D I...

A: On solving this we will get:- option (D) is correct

Q: e are given the logarithmic function fx) = In(/x + 6). We note that this function is of the form In(...

A: Differentiation 

Q: Se csc*(5x)cot*(5x)dx .4

A: u=5xdx=du5I=15∫ csc4u cot4u duI=15∫ cot4u csc2u (cot2u+1) ducot u =t-csc2u du=dtI=-15∫ t4t2+1 dt

Q: 2, A drone is flying at a level altitude of 20 meters struight toarards an 06server on the ground. I...

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

Q: Sketch the region bounded by the given curves, then find its area. 1. y = x², y = 2x

A:

Q: Assume the derivatives of f and g exist. How do you find the derivative of the sum of two functions,...

A:

Q: The region bounded by the curve x=y?, the y-axis, and the line y=2 is revolved about the x-axis. Fin...

A:

Q: Find the derivative of the following function. f(w) = 8w° + 5w* + 4w %3D f(w) =D

A: We can find the derivative as below

Q: y

A:

Q: 2Sino 5. AS T/H CSCO 3 TV4 2sinG A:S CSCO 3T/4 T14 CSCO aS [1asine) -cescor I do %3D 3 T/4 aS [4sino...

A:

Q: Question 12 Provide an appropriate answer. Find when r = 4 and s = 3 if w(x, y, z) = xz + y, x = 5 r...

A: We will put the values of x,y and z in w(x,y,z) to convert w in the terms of r .

Q: How do you find the derivative of the quotient of two functions that are differentiable at a point?

A:

Q: 4. Find the slope of the tangent to the graph of f (x) = x³ + 3x² + x at its point of inflection. Sh...

A: Slope of the tangent is obtained by dy/dx 

Q: 1. Eliminate the parameter to find a Cartesian equation of the curve with parametric equations z = e...

A: