(6) Given the function f(x) (4) (-2) = = 1 x +3 and g(x) = x², find: (fog)(x) = (gog)(x) =

Q: S X (x²+5) O dx none of these answers ○ In (x² + 5) + c ○ In (x² + 5) + c 1 (22² +5) + c

A: let   G=∫x(x2+5)dx

Q: 2. Determine whether the vector field F = 3x²yz4i+x3³z4j+4x³yz³k is conservative and explain your…

A: F= 3x2yz4i+x3z4j+4x3yz3k

Q: A tunnel cross section is formed by a rectangle 5m wide and 8m high with a rounded section at the…

A: Draw a schematic diagram of given figure.

Q: Evaluate 1) Sin ¹ (1 a) cos`' (-1) 3) cos( tan`¹ (13 Sin (1/ กาก

A:

Q: Find the point on the sphere x²+y²+²=3364 that is farthest from the point (-14,13,23). X )

A: To find the point on the sphere x2+y2+z2=3364 that is farthest from  the point -14, 13, 23.

Q: Approximate the area under the parabola y=x^2 from 0 to 5 ​, using  equal six subintervals.

A: We can solve this question using left riemann sum  Given y = x2x varies from 0 to 5  using  equal…

Q: The average value of the function f(x) = 2x sin(2x) on [0,] is equal to 1. Select one: O True O…

A: The given function is;  f(x)=2x Sin(2x)

Q: f(x) = x² ex find derivative

A: Differentiate the given function  f(x)= x2ex

Q: A model for consumers' response to advertising is given by f(x) = 2000 + 500 In (x), x>1 Where N(x)…

A:

Q: Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal…

A: a=66,c=51,C=52° Figure

Q: Determine el s 2 dx

A:

Q: x³ + x 10) √ (x²+ + 2x² + 5) dx

A:

Q: The region bounded by x² - y² = 17 and x = 9 is rotated about the line y = 10. Using cylindrical…

A: The region bounded by x2-y2=17 and  x=9 Graph

Q: [x+y+z=0 Solve the system of linear equation 3x+ 5y + 4z = 5 using the following four methods:…

A: given system of equation can be expressed can be represented in matrix form as AX = B where…

Q: ow that the height of the ba h = 2700-x² 3x nce show that the volume Vo V = 1800x - 1²/3 x-²3²x³ 2,3…

A: Given  h=2700-x23x.......................i ⇒V=1800x-23x3 Note:- Here we solve this problem for x to…

Q: Find d dx [In(3x + 4)]

A:

Q: Find the integral, S (1/x4) dx O /లు + c ○ 4x³ + c ○ // x5 + c O none of these answers

A:

Q: B) Find an expression (f₂) for the rate of change of output with respect to the number of skilled…

A:

Q: ƒ'(x) = =

A: f(x) = 3x4ln(x)

Q: 1. If y = √√√x. Find y" X₁

A: To find the higher derivative of y(x).

Q: Consider the following. C: line segment from (0, 0) to (4,8) (a) Find a parametrization of the path…

A:

Q: Hey could you pls solve this 100% correctly with no mistakes and please do not take long last tutor…

A: Consider the given function. f(x)=x2-5x3+9x2+13

Q: Find the x coordinates of the stationary points of the curve

A:

Q: Let F(x) = f(x) and G(x) = (f(x))³. You also know that a = 3, ƒ(a) = 3, ƒ'(a) = 11, f'(a³) = 9 Then…

A:

Q: 9 Consider the function f(x) = 3x³ + 6x6 – 7x³ – 5. - An antiderivative of f(x) is F(x) = Ax" + Bx"…

A:

Q: 13. Let C be the curve with parametric equations 2=²+2 v=P²-1, 15152 Find the length of the curve C.…

A:

Q: A box of volume 216 m³ with a square bottom and no top is made of two different materials. The cost…

A: Let  The length of the bottom side = x  height = y    volume = 216  x·x·y=216     y=216x2

Q: 8) (a) State the Mean Value Theorem. (b) Iff is a continuous and differentiable function on the…

A: Given data:-

Q: Find the domain of the function f(x, y) = ln(36 - 4x^2 - 9y^2) + sqrrt(2x - 3y - 6) and plot the…

A:

Q: Subject: calculus The functions q and r are defined as follows. q(x)=-x+1 r(x)=2x^(2)+1 Find the…

A: given,  q(x)=-x+1given,  r(x)=2x2+1

Q: If a rock is dropped from a height of 107 ft, its poistion t seconds after it is dropped until it…

A:

Q: Two partners agree to invest equal amounts in their business. One will contribute $10,000…

A: We need to calculate Amount after 5 years

Q: Find the derivative of f(x) = x = x5 e5x ƒ'(x) =

A: To find the derivative of fx=x5e5x.

Q: Solve the problem. 15) Johnny's cafe serves desserts. One serving of ice cream and two servings of…

A:

Q: 4. Evaluate [xds, where the curve C is the line segment going from the point (0,1,2) to the point C…

A:

Q: The supply function for a product is given by p = q +340, and the demand is given by p + q = 450.…

A: p=q2+340 .......(i) p+q=450 p=450-q ........(ii)

Q: 5. Find the arc length of the spiral r=0 from 0=0 to 0=27.

A: Arc length for a function of the form r=rθ from θ=θ1 to θ=θ2 is given by ∫θ1θ2rθ2+r'θ2  dθ.

Q: Find (3x + 5y)dA where D = {(x, y) | {(x, y) | x² + y² ≤ 4, x>0}

A:

Q: =x2ex-4 show that dy/dx= 2xex-4+x2ex-4

A:

Q: 4) Let a = (-3, 0, -4) and 5 = (-3, 3, 1). Find the projection of b onto a.

A:

Q: Evaluate the line integral, where C is the given curve. Sex xy¹ ds, C is the right half of the…

A:

Q: Let f(x) = 3 cos(-9x) Determine the derivative of f. f'(x) = Determine the slope of f at x = -5.…

A:

Q: Evaluate the limit. lim, 0 O 15 11 19 3 - 2/22 - 2/5 1 5+x X 1 5

A:

Q: The area of a healing wound is given by A = 7². The radius is decreasing at the rate of 2 millimeter…

A: A=pi r2, r=26.

Q: Use the indicated method of solution for the following. ㅠ 1. Solve: sin x cos² y dx + cos² x dy = 0,…

A: *Note – As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Find the equation of the line tangent to the graph of f(x) = -x³-4x²-1 at x = -1. Provide your…

A: given  f(x)=-x3-4x2-1,  at x=-1

Q: Let f(x) = f'(x) = x+4) x+3 5 CT

A:

Q: The gradient of f(x, y) = e² sin(3-y) at (x, y) = (3, 1) is defined as followed: V f(x, y) = (fz(3,…

A: given,  f(x,y)=e2xsin(3y)given,  ∇f(x,y)=(fx(3,1),fy(3,1))

Q: Find the dimensions of the box with the maximum volume

A:

Q: Find the second-order partial derivatives of the function. Show that the mixed partial derivatives…

A: fx,y=ln5+x2y2