The graph of the function f(x) is given below. If [x(f'(x)+xf"(x)) dx= 30 What is the area of the shaded region ?

Q: Solve: 9e3x - 4 = 32. Find the solution set and then use a calculator to obtain a decimal approximat...

A: Since the exponential equation is: 9e3x - 4 = 32

Q: Solve the polynomial equation : (2x + 1)(3x - 2)3(2x - 7) = 0

A:     We have to solve the given polynomial equation   (2x + 1)(3x - 2)3(2x - 7) = 0   we can calculat...

Q: Divide (3x4 - 2x2 - 10x)÷ (x - 2) using synthetic division.

A: Given: 3x4-2x2-10x÷x-2

Q: Determine the location of a point (x, y, z) that satisfies the condition(s). xy > 0, z = −3

A: Here Our Aim is to determine the location of a point (x,y,z) that satisfiesthe condition(s):→ xy>...

Q: Motion along a parabola A particle moves along the top of the parabola y2 = 2x from left to right at...

A: To find the velocity of the particle.

Q: 107-Calculus I Spring20 Finda point on the graph of /(x)=6x - 15 where the tangent ine is parallel t...

A: Given: fx=6x23-15 Tangent at a point on the curve fx=6x23-15 is parallel to the line y+x=1. Slope ...

Q: Express the sum or difference as a product cos 75° + cos 15°, If possible, find this product’s exact...

A: We have to express as sum or difference as product of the trigonometric expression: cos 75°+cos 15° ...

Q: The velocity of an object moving along a line is given by v1t2= 20 cos pt (in ft>s). What is the ...

A: Consider the given velocity function as vt=20cospt

Q: The rectangular swimming pool in the figure shown measures 40 feet by 60 feet and is surrounded by a...

A: Solution: Consider the given that length of swimming pool is = l = 40 feet and width = b = 60 feet T...

Q: Sketch the surfaces ASSORTED 16y2 + 9z2 = 4x2

A: Solution:- We have to  Sketch the surfaces ASSORTED 16y2 + 9z2 = 4x2    

Q: As a wave passes by an offshore piling, the height of the water is modeled by the function h(t) = 8 ...

A:

Q: Find f(g(x)) and g( f(x)) and determine whether the pair of functions f and g are inverses of each o...

A: we have  f(x)=3x-4 and g(x)=3x+4

Q: The graph of the function f in the figure below consists of line segments and a quarter of a circle....

A: It is given that gx=∫-1xftdt. That is, g'x=fx. Recall the fact that the function f is increasing whe...

Q: Graph both the given equations x2 + y2 = 16 and x - y = 4 in the same rectangular coordinate system ...

A: to graph the given equations.

Q: Show that the curve y = 6 x 3 + 5x -3            has no tangent line with slope 4.

A: y=6x3+5x-3 has no tangent line with slope 4

Q: Use Euler's method with step size h = 0.2 to approximate the solution to the initial value problem a...

A: The equation of function is y'=3xy2+y The value of y5=1 The step size is h=0.2

Q: Calculus Question

A:

Q: Given f(x) = 3x - 4 and g(x) = x2 - 2x + 6, find each of the following: a. (f ∘ g)(x)   b. (g ∘ f )(...

A:

Q: Sums and Differences Evaluate the sum or difference, and write the result in the form a + bi. 17. (3...

A: We have to write the complex numbers in the form of a+bi where sums or differences are given as: 3+2...

Q: Question 003: Complete the following question involving right triangle trigonometry. Use the right t...

A:

Q: The following graph of the derivative g' has exactly two roots.a. Find the critical points of g.b. F...

A: a. The graph of g'x touches the x-axis at x=1 & x=2. That is, g'1=0  &  g'2=0 Therefore crit...

Q: If y – x² – 3 =–xy and it is known that dy da –y+2x 1+x find all coordinate points on the curve wher...

A:

Q: Question 010: Complete the following question involving right triangle trigonometry. Use the trigono...

A: Given expression, cos25x

Q: Given the function f(x) = -x² – 7x + 15, determine the average rate of change of the function over t...

A: Given, fx=-x2-7x+15 over the interval -9≤x≤3 To find the average rate of change.

Q: Question 005: Complete the following question involving right triangle trigonometry. Use the right t...

A: It is given that adjacent side is 67 and opposite side 54. From the figure, note that tanx=opposite ...

Q: Can u show me the equations u used and a picture of the work to please

A: Given: dydx=x-1x

Q: -3 Let f be a continuous function such that f(x) dx = -6 and 10 10 1 f(x) dx 3. What is the value of...

A: Given integrals are ∫-2-3fxdx=-6∫-210fxdx=3

Q: Express the difference cos 9x - cos 7x as a product. If possible, find this product’s exact value.

A: To express the difference cos9x-cos7x as a product.

Q: verify that (u * v) . w = (v * w) . u =(w * u) . v and find the volume of the parallelepiped (box) d...

A: Given that, u = i + j - 2k v = - i - k w = 2i = 4j - 2k Then we get the volume of the parallelepiped...

Q: Let f(x) := x? + 3. Does lim,- 2→-1 f(x) exist, and if so what is it? (Draw a picture!) Yes, it is 1...

A: fx=x2+3 Since it is a polynomial function, therefore the limit exist. Now, limx→-1fx=limx→-1x2+3=-12...

Q: Finding an unknown Find the value of a such that⟨a, a, 2⟩ × ⟨1, a, 3⟩ = ⟨2, -4, 2⟩.

A: Given:  a, a, 2×1, a, 3 =2, -4,  2

Q: 99.

A: Given dydx=x2y2y2dy=x2dx Integrating both sides ∫y2dy=∫x2dx Recall the formula ∫xndx=xn+1n+1+c where...

Q: y + 6 21. lim ソ→6+ y2- 36

A:

Q: If  f(x) = x +4 and h(x) =  4x - 1 , find a function  g suchthat  g ° f =h .

A: Given function: fx=x+4hx=4x-1 We have to find g(f(x)) Substitute the given expression for fx and hx ...

Q: Solve the system: 2x - y + z = 1, 3x - 3y + 4z = 5 and 4x - 2y + 3z = 4.

A: Our Aim is to solve the system:-2x-y+z=1 -(i)3x-3y+4z=5 -(ii)and 4x-2y+3z=4-(iii)

Q: integral of arcsin((1/2)x)

A: Given: ∫sin-1x2dx

Q: If a + bi is a root of a polynomial equation with real coefficients, b ≠ 0, then________ is also a r...

A: Given: if a+bi is the root of a polynomial equation with real coefficients,b≠0, then .............. ...

Q: 4 Write an integral that is equivalent to 1 af dx. -

A: Given,          ∫-6-4xf14x2-2dx

Q: Suppose that f (x) = 1 if æ 1; and that f(0) = 0. Assume that f(x) isn't defined on [-1,0) U (0, 1]...

A: It is given that fx=1x≤-1fx=1x≥1fx=0x=0. Sketch the graph as follows:  

Q: If 0°<θ <90°, θ is a/an_______ angle. If θ = 90°, θ is a/an______ angle. If 90° < θ < 18...

A: Given: If 0°<θ<90°  is a/an ...... angle. If θ=90° ,θ is a/an ..... angle. If 90°<θ<180°...