Determine the type of function shown in the graph below. a) Polynomial function Ob) Rational function O c) Exponential function d) Logarithmic function N 13 e) Trigonometric function

Q: Question 14 (1 point) ✔ Saved Determine the scalar equation of a line with a normal vector passes…

A:

Q: Consider the function f(x) = x 52+4 x + 1 a. Find the first derivative. f'(x) = b. List any critical…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost other parts as…

Q: Find the indefinite integral and check the result by differentiation. COS X 1 - cos²x dx

A: Recall; sin2x+cos2x=1

Q: [1/3 Points] f(x) = DETAILS PREVIOUS ANSWERS Find an expression for the function whose graph is the…

A:

Q: Find the solution to satisfying _y(t) = dy dt = 2y y(6) = 9

A: The given differential equation is; dydt=2y As we know from the integral rule,  ∫1ax+bdx=1alnax+b+C

Q: This

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) 7 y = 6√x + dy = 3 x 1 1/2 x I 3…

A:

Q: 23 -x³ Submit Question Find all local extreme values of f(x) The FIRST local extreme value, moving…

A:

Q: .Use interval notation to determine where f(x)>6.

A: We have to find the intervals when f(x)>6.

Q: The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled…

A: Given: The depth function: D(t) = 2sinπ4t+5π4+5 Depth is changing at 6 a.m. t = 6

Q: Solve (2y³ – x³) dx + 3xy² dy=0; y(1) = 1 a. x² (5y³ + x³) = 4 y? (5y3 — r3) =0 x² (5y³ x ³) = 4 O…

A: Given that, the differential equation is 2y3-x3dx+3xy2dy=0.…

Q: If f(x) = 1 and g(x)=x² +2, then go f may be expressed as x-2 g(f(x)) = axa +2ßx+y xa + Bx-ß Find a…

A:

Q: 4 sin(x - 2) x→2 3 ln (3x – 5) Evaluate lim and write your answer in simplest form.

A: We can find the limit in the following steps.

Q: Solve the separable differential equation dx 2 dt and find the particular solution satisfying the…

A: Please see the below picture for detailed solution.

Q: Given that f(x) = x²h(x) h(-1) = 4 h' (1) 7 = Calculate f'( − 1).

A:

Q: Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile…

A:

Q: 5. Which of the following expresses √175 in simplest form ? a) 5√2 b) 5√7 c) 7√5 d) 9√5

A: Given that, the number is 175.

Q: Consider the following function. f(x) = x² - 4x + 5 (a) Find the critical numbers of f. (Enter your…

A:

Q: Calculate the length of arc of y = 2x/² for 0≤x≤1

A:

Q: S 3 T 2 For the above rational function f(x)= 3 Q 17 2x² +2.5 . identify the interval on which f is…

A:

Q: J dx 4+x²

A: Given,            ∫14+x2dx

Q: Find the average value fave of f(x) = x³ between -1 and 1, then find a number c in [-1,1] where f(c)…

A:

Q: Evaluate the integral: J22 SVA-2 01- [] π [] +C dydz 4-2² e² +²

A: double integration using polar form

Q: The graph of f(x) is shown (see figure). -7 (a) Find the following limits. L = lim f(x) = 2 Klim…

A: Concept: Limit of the function: Assume the function f(x). x should have values that are close to the…

Q: Suppose that the position of a particle is given by s(t) = 4t³ + 5t +9. (a) Find the velocity at…

A:

Q: Find the sum by adding each term together. Use the summation capabilities of a graphing utility to…

A: The given sum is ∑i=164i+5

Q: If f(x) Files = Time left 0:5 sin²x and g(x) = 1 + cos²x, how are f'(x) and g'(x) related? Maximum…

A:

Q: Σ(-1)^+¹ Test k=1 1 for absolute/conditional convergence

A: The given series: ∑k=1∞-1k+11k5 .We need to test for absolute onvergence and conditional…

Q: - п/2 эт/2 п/2 0 п/2 3г/2 5г/2

A:

Q: or the equation, find the slope m and y-intercept (0, b) (when they exist). (If an answer does not…

A: An equation of the form y=mx+c called slope intercept form of line where slope = m and y-intercept =…

Q: = $r(t)dt 5. Use the graph of f(t) = 2t - 5 on the interval [-2, 10] to write the function F(x),…

A:

Q: f(x) = 2 - 1x + 1 4 (x - 4)2, x + 16, x ≤ 0 0 <x

A:

Q: Determine the exact solutions to cos: O ○ 0=160=² ○ 0-5,0- 7x 0= 6 6 O O 0 7x 6 5x 6 R 0= =,0= 6 11x…

A: We can answer the question in the following steps.

Q: फ 1/2 Determine the equation of the axis of the curve of the following trig function. ● a) y = -1 ©…

A: Please see the below picture for detailed solution.

Q: Find the equation of the tangent line to f(x) = 4x² -5x+2 at (-1,11).

A:

Q: (iii) Find the total area of the following shape PQRS. (You may need a calculator) 7cm 12pt…

A:

Q: A particle moves along the x-axis so that its position at time 0 ≤ t ≤ 18 is given b x(t), whose…

A:

Q: Use summation properties and formulas to rewrite and evaluate the sum. [(31)²-41] i=1 Next Submit…

A:

Q: Given: R(t) = ti + t2j + t3k, find the curvature and the radius of curvature at any point.

A:

Q: A woman standing on a hill sees a flagpole that she knows is 70 ft tall. The angle of depression to…

A:

Q: The function f(x) = x³ + 7x² + 7x − 25 is graphed below. Plot a line segment connecting the points…

A:

Q: Given f''(x) = 3x + 3 and f'(-3) Find f'(x)= and find f(2) 1 and f(-3) = 5.

A:

Q: Find the derivative of x 1 f(x) = = 1₁² 1₁ ²² 16 dt S 1+t6 4 f'(x) =

A:

Q: State the domain: -6 -4 -2 6 2- 0 -2 2 4 6

A:

Q: y 200 150- (-3.75,93.75) 1000

A: increasing interval where slope increading

Q: An estimate of ³₁x¹dx using Simpson's rule with n = 4 gives a. b. C. d. 242 5 244 5 148 3 152 3

A:

Q: Cliff left point A at 8:00 A.M. walking east at 3 kph. Renz left point A at 9:00 A.M. walking north…

A:

Q: Consider the graph of f. f(z)dz (2) The shaded region over [0, 7] has an area of 314 and evaluate…

A:

Q: Consider the function f(x) = r? – 5 +4 x + 1 a. Find the first derivative. f'(x) = b. List any…

A:

Q: 9. What is the maximum value of the parabola shown ? -4- 2- 0 --2- 2 a) y = 5 b) x = 3 c) y = 3 d)…

A: Graph of the parabola is given, we have to find its minimum value.