10. Given the functions /(x) = 3x² + 2x + x+1 and g(x) = 2x² – 1, find (f - 9)x. a 3x +x b. 3x +x+2 C. 3x + 2x +x d. 3r + 4x +x+ 2

Q: 6. Find the minimum surface area of a box that holds 2 cubic meters.

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A:

Q: Using the partial fractions technique, the function fx)= 22x+58 can be written as a sum of partial f...

A:

Q: 2. The function f in |f(x)dx = F(x)+C is called A. integral B. derivative C. antiderivative D. integ...

A:

Q: 9. The radius of a large balloon is increasing at a rate of 2 inches per second. How fast, in cubic ...

A:

Q: The curve y = 2x^0.5 is intersected by the line x = y. 1. Compute the area bounded by the two curves...

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub- par...

Q: 21. Determine whether the function g(x) =2+x, x<2 a. Continuous b. Discontinuous is continuous at x=...

A: Since, you have posted multiple questions. As per guidelines we will solve only first question. If y...

Q: Solve the following initial value problem. ye) -2y"+ y' 4 +8x e*; y(0)= y'(0) = 0, y"(0)= 1 The solu...

A:

Q: Evaluate the integral L(9te") i + (9e 2") j+ (4) kļat. J[(otea") i+ (9e 2) j+(4) k]at = ([ i+ +. (Ty...

A:

Q: sin100

A:

Q: et –1 t2 – 3t + 5 lim t-0 t t2 – 1

A:

Q: Select ALL possible answers if there is more than one. Below shows the graphs of the slopes of the t...

A: The slope of the tangent line represent the derivative of the function.

Q: Let f(x) = 2x2 – 8x + 14 The slope of the tangent line to the graph of f(x) at the point (2, 6) is T...

A: As we know that; The slope of the tangent line to the given curve is equal to the derivative of the ...

Q: Find the area of the triangle with vertices P(1,3, –3), Q(0,0,0) and R(2,3, 1). NOTE: Enter the exac...

A: Given

Q: e area between the two loops of the limacon r = 1+2 sin 0.

A: We are asked to find the area between the loops.

Q: 21,500 %3D C. The cost to maintain inventory for the weather balloons is given by C(x) = where x is ...

A:

Q: Let f(r) = V7 2. Compute f'(3) using the limit definition %3D f'(3) 3D Find an equation of the tange...

A:

Q: Find the exact value of the trigonometric expression given that sin(u) = - where 3x/2 <u< 2x, and co...

A: tan(u+v) = (tanu +tanv)/(1- tanu*tanv) tanu = sinu/cosu cosu = 1-sin2u cosu = 1-(3/5)2 cosu = 4/5 si...

Q: 1- cos?t lim t-0 t

A:

Q: Consider the region R bounded by the curve y = In(r), the r- axis and the line r 5. Determine the fo...

A:

Q: 1. find an equation of the line tangent to y = x-3 at point (O,-) %3D

A:

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

A:

Q: btam a parken Aplution alor then t=0, r=r,. dr = -frt

A:

Q: A Given yesin (ITX2)= InGe) XyZ of Find Zx and Zy.

A:

Q: Consider the points A(3, – 1, 3), B(4, –3,0), C(-2, –2,0), and D(6, 3, –5). (a) Find the volume of t...

A:

Q: 1 Find the derivative of g(x) = Vx-1 Find f'(x) and f"(x) of f(x) = 11x³.

A: Here we have to find the derivatives of the given function.

Q: y = 3x2 from x = 1 to x = 2.

A:

Q: Activity 4: 1. Find the indicated derivative for each of the following functions and evaluate as ind...

A: We know, ddxxn=nx(n-1) , for any real number n. ddxcos x= -sin x ddxsin x= cos x

Q: EVALUATE THE INTEGRAL

A:

Q: Find the critical numbers, if any, of the function f(x) = 3x5 - 25x3 + 60x + 15 and then use a Maple...

A:

Q: x" у" +3ху'+.75у%3D0 У(1) %3D 1 У(1) %3D-1.5

A:

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: topic - vectors 

Q: A=TTr Vr? th2. The radiu ight circular cone rand height h à gilen b A=TrVr? th? is in creasing at Th...

A:

Q: If $P is invested for n years at 12% compounded continuously, the future value that results after n ...

A: deandn=a.ean 

Q: 1 Find an equation of the line tangent to y at point (0, -). X-3

A: Given y=1x-3 at point 0,-13 To find equation of line tangent:

Q: Vx2+5x-6 lim X-4 16-x2

A:

Q: Below shows the graphs of the slopes of the tangent line of four different functions. Which of the f...

A: There is condition When Graph is not Continuous, that means graph is not breaking at any point  so t...

Q: The sequence that begins 3, 3, 6, 9, 15, 24, ... could be O a geometric sequence. a Fibonacci sequen...

A: Topic = Sequence This Sequence could be a Fibonacci sequence.

Q: Evaluate / (ei + a* ) dt

A:

Q: B - Find the equation of the curve whose slope at any point p(x.y) is m = x(x+5)?, and passing throu...

A:

Q: Find the area of the parallelogram that has u = i – j+ 2k and v = 2j + k as adjacent sides. NOTE: En...

A:

Q: y? 1 25 x2 49 and y(2) = 5 V5, find y'(2) by implicit differentiation. /(2)

A: Given query is to find indicated derivative.

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: (a) We are given the vector v = &lt; 15 , -8 &gt; The magnitude of vector v ||v|| = √(152+(-8)2) =√(...

Q: x? + y? = = 169 (a) Find dy/dt, given x = 5, y = 12, and dx/dt = 7. dy/dt = (b) Find dx/dt, given x ...

A: We will find the derivatives and value at a point. 

Q: Find the equation of the tangent line to the graph of y =f(x) at the point where x=-3 if f(-3) = 2 a...

A:

Q: 1-cost lim sint et-1 + t t t+0

A:

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: v=19, -12oppositely directed to v,(The angle between vectors with opposite direction is 180° and the...

Q: Find the area of the region bounded by the curves, x = -6, x = 6, axis and the parabola x2 – 4y – 16...

A: Given:       Parabola x2-4y-16=0                 x2-16=4y                   y=14-x2+16 The area unde...

Q: Calculate the integration from the following figure y 2 y=x-4 A

A: To evaluate the integral for the region shown  

Q: iven the ODE, solve: x(x + 4)*dy + [y(x+ 4)* – 3x*y³]dx = 0

A: