State the coordinates of the intercepts, stationary points, and the inflection point of p(x) = 2x³ - 3x² − 36x + 5. Enter the exact answers Number of Choose x-intercepts: one y-intercept: (?, ?) Choose one 0 1 2 3 Choose Number of stationary points: one Number of inflection points: Choose one

Q: Evaluate 1.1² (2x − y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (3, -5)

A: Solving

Q: Find the total mass of the wire with density p whose shape is modeled by r. r(t) = t²i + 2tj + tk,…

A:

Q: 3. In evaluating the integral ſ x²dx (x-1)²(x²+1)' you will decompose x²dx (x-1)²(x²+1) into simpler…

A:

Q: Verity Green's Theorem by evaluating both integrals ƏN [x² dx + x² αy = [] (2 - 0) A √y² dy dA ax ду…

A:

Q: Find y = f(x) given d²y dx² = 5x² + 2

A:

Q: The Bernoulli's form of the differential equation x³ydx+(3x4 - y³dy=0 is

A:

Q: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a…

A: We can solve as follows

Q: Evaluate the integral of the following using Miscellaneous Substitution

A: We have to find the integral.

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A:

Q: Find the partial sum Sn of the arithmetic sequence that satisfies the given conditions. a2 = 7, a5…

A:

Q: Express the limit as a definite integral on the given interval. * n Χρισ lim Σ -ΔΧ, [1, 8] 0-00…

A:

Q: Find the average value of on the interval [0,3]. favg f(x) = x² √√√37 +20²³

A:

Q: Can anyone please help me to solve this problem

A:

Q: cos2ydx + tan y dy = 0 x = 0; y = 9

A: Here we have to solve the given differential equation

Q: Given the graph of f, determine which is larger in each case. 10 f(6) is [Select] than f(8)…

A:

Q: Find all solutions of the equation in the interval [0, 21). COS +1=0 2x 3 Write your answer in…

A: This is a problem related to trigonometric identity. Based on the given interval and function…

Q: ∫y csc3y2 cot3y2 dy

A:

Q: A circle is centered at an angle's vertex. The angle's rays subtend an arc that is 6.6 cm long, and…

A:

Q: For f(x) = √x+1, find ƒ'(x) using the definition f'(x) = lim f(x+h)-f(x) h h→0 f'(x) = Using this,…

A: TOPIC -derivative using limits and equation of tangent line

Q: Consider the following. C: line segments from (0, 1) to (0, 16) and (0, 16) to (15, 15) (a) Find a…

A:

Q: Use Green's Theorem to evaluate the line integral a-x)dx + (2x - x) d for the given path. C:…

A:

Q: -cosh(2x² + 1). Evaluate (A) 4xsinh(2x² + 1) B 2xsinh(2x²+1) C) xsinh(2x2 +1) с D (2x2 + 1)sinh(2x +…

A:

Q: long as 1 235 times as long 235 times as long 235 times as long 360 235 times as long 2π 360 times…

A:

Q: Change from rectangular to cylindrical coordinates. (a) (3, 3, 4) (r, 0, z) =

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: x +4 1. √x dx 2. √ 1 + √F 1+ 3.x√ √x² + 1dx -dx

A:

Q: Solve the differential equation y Pemer 6a y5 subject to the condition that y 3 when = 3.

A: Here we have to solve the given differential equation

Q: Find for z = for z = ex-y Əz Əx

A:

Q: sin $3xcos 3x dx

A:

Q: x² x-o ex-x-1 Evaluate lim А A) 0 B) 1 C) 2 D ∞ by applying L'Hôpital's rule.

A: find limit using L hospital rule option C correct answer

Q: Let the function f be continuous and differentiable for all x. Suppose you are given that f(-1) =…

A: Given that f(-1)=-3  , f'(x)≤4 we want to find the largest possible value of f(5)

Q: 3 4d³y - 13d +6y=0 dy dx3 dx

A:

Q: ad all values of x For w/c the graph of f lies above the graph of. f(x) = 49x; g(x) = 1

A: Given the query is to find the values fo x for which f is greater than g.

Q: Find the radian measure of the angle with the given degree measure. Round your answer to three…

A: convert degree to radian

Q: compute the area of the surface formed when f(x) = 2 + cosh (x) between 0 and 1 is rotated around…

A: Given problem:- compute the area of the surface formed when f(x) = 2 + cosh(x) between 0 and 1 is…

Q: dx Find given that dt 6x² + 7y² = 13 x = 1, y = -1, and Give your answer as a simple fraction. dx dt…

A: Let us consider an expression, ax+by=c , a,b,c are constants. Then by implicit differentiation on…

Q: The base of a solid is the region enclosed by y=1 and y=x^2 / 4. Cross-sections perpendicular to the…

A:

Q: 7 X Let f(x) = 5 + (a) Find f'(x). ƒ'(x) = (b) Find the slope of the tangent line at x = 3. Slope =…

A:

Q: Evaluate the definite integral. [² (e¹³¹² i + e ²¹ j + ¹ k) dt O els els - 1 015¹1- - · i − (e¯¹ −…

A:

Q: A point on the terminal side of angle θ is given. Find the exact value of the indicated…

A: We have given x and y coordinates. We will use them to find tan thetha

Q: Find the area of the region that is enclosed by the cardiod r = 10 - 10 sin 0. NOTE: Enter the exact…

A: Given:       r=10+10sinθ  Area of cardiod A=∫∫Dr dr dθ…

Q: th is the graph of the original function and which is the graph of the derivative? g f is the…

A: Given the query is to find which graph is  function and which one is derivative.

Q: The length of the side of a square floor tile is 15 cm, with a possible error of 0.05 cm. Using…

A:

Q: yo dx

A:

Q: Find T(t) and N(t) at the given point. T(₁/) = N() = r(t) = 9 cos(t)i + 9 sin(t)j + tk; t = 2 ||

A:

Q: EXCERSICE X₁,, Xn Find i.i.d. E Uniform(0 X(1) + X(2) X(n)

A:

Q: ∫√(1+2sin3x) (cos3x)dx

A:

Q: Answer the following. (a) Find an angle between 0° and 360° that is coterminal with -68°. 23л (b)…

A:

Q: ∫((e3x)/(5+2e3x))dx

A:

Q: dy dx +y=e*

A: The standard form of the linear differential equation is; dydx+Py=Q Where, P & Q is the function…

Q: 2ydx + x(x² In y-1)dy=0

A: