Find max and min of function on the interval    f(x)=-x4-x3+5x2-4 on [-2,1]

Q: For the function f(x) = 3x2 −x3 − 4 where −3 ≤ x ≤ 3, complete the following. 12. State the values…

A:

Q: The equation of the tangent plane to the parametric surface x = u, y = v², z = uv at the point where…

A: This question can be solved using the concept of finding the tangent plane when the parametric…

Q: Newton's law of cooling states that the temperature of an object changes at a rate proportional to…

A: I am attaching image so that you understand each and every step.

Q: Use substitution method to evaluate the definite integral fore dx

A:

Q: Find the total area of the shaded region. 1.5- 1- 0.5- 0 x=y³ 0.5 x = y² 1 (1,1) X 1.5 C The area is

A:

Q: At noon, ship A was 16 nautical miles due north of ship B. Ship A was sailing south at 16 knots…

A:

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A:

Q: 22) A- Find the distance between the line (y=x+3) and center of circle (x²+y²-2x=0). B- Using…

A:

Q: The half-life of Radon-222 is 3.8 days. A 34-gram sample of Radon-222 is monitored for one day. How…

A: Please see the below picture for detailed solution.

Q: '() = xp (x-₂x) + xp (x + xx7)

A:

Q: Find div F and curl F if F(x, y, z) = x¹i − 6j + yzk. - div F= 7x + y curl F zi X

A:

Q: Find the radius of curvature of the curve y = √√x at x = 1 5√5 2 5√5 b) Sys c) 5√5 d) none 2 a) ind…

A:

Q: 5. а и д2u 02u дх2 + дуг + а и 02u дz² = 0

A:

Q: 5. Solve the differential equation dy 4t dt y² + t²y² = subject to the initial condition y(0)=2.

A:

Q: Let f(x)= I Determine f'(x). sin² (³+1) dt, x= [1,1].

A: Given: f(x)=∫-xx2sin2(t3+1)dt

Q: Find the conservative vector field for the potential function h(x,y,z) = 16xy ln(x+y) by finding its…

A:

Q: Please help need asap..answer both please and i will rate high

A: We have to choose the correct option from the given options according to the given infinite series

Q: the degree of the following polynomials functions: a. f(x) = x^5  b. f(x) = (x^2)^3  c. A cubic…

A: Given the query is to find the degree of the polynomial.

Q: √ √x dx W|N 3 x2 + N/W N/W + C + C 2/3 + C

A:

Q: Hole with r=2 O 5 4

A: Let the lenght of the rectangular prism be=l        the width of the rectangular prism be=b and the…

Q: 2. Let f(x) = 2x²-3x+1 ,x 0.5 Determine constants A and B such that is continuous for all values of…

A:

Q: If 6√√x + 15√y = 177, find y'(x) by implicit differentiation. y'(x) = Y I Find the exact value for…

A:

Q: Let f(x) = x²-1 (a) Make tables of the values of f at values of x that approach x= -1 from above and…

A:

Q: What is the directional derivative of f(x,y,z) = ln(x²+2y²+ 4z²) at the point P(-1, 2, 4) in the…

A: The given function is; f(x,y,z)=ln(x2+2y2+4z2) Point P(-1,2,4) u=-3i/13 -4j/13 -12k/13.

Q: Answer the following questions for the function f(x)=x√√x² +9 defined on the interval -7 ≤ x ≤ 4.…

A: Concept: Concavity: Assume that f(x) is differentiable on interval I. If f′(x) is growing, the f(x)…

Q: *7. Draw the region whose area is given by the definite integral. S₁₁7 = dx Which graph shows the…

A:

Q: 1 3 The x value(s) of the points where the tangent lines to the curve ³-4x that have a slope equal…

A:

Q: Admission to a baseball game is $3.00 for general admission and $6.50 for reserved seats. The…

A: This question can be solved using the concept of system of linear equations.

Q: Use the Pythagorean Theorem to find the length of the missing side of the right triangle. Then find…

A:

Q: Find the equation of the plane passing through the point (-1, 4, 0) perpendicular to the line L₁: x=…

A:

Q: Use the definition of Taylor series to find the first four nonzero terms of the Taylor series,…

A:

Q: Find the Taylor series generated by f at x=a. f(x) = 5x , a = 7

A: We have to find Taylor series of f(x) =5x about x=7. Let us see first what is Taylor series…

Q: If the period T is note equal to 27 but T=2L then f(x) = a + an bn Σ(ancosx + b₂ sin x) n=1 1 2L ao…

A:

Q: Given f''(x) = 2x + 5 and f'(0) = Find f'(x) and find f(3) = 1 and f(0) = = = -1.

A:

Q: Answer true or false. If £{f(t)} = F(s) and L{g(t)} = G(s), then ¹{F(s)G(s)} = f(t)g(t). True O…

A:

Q: Find r'(t). NOTE: Enter your answer in terms of i, j, and k. r'(t) r(t) = (tan−¹(5t))i+t cos(t)j —…

A:

Q: Evaluate the limit using L'Hopital's rule. Enter either a reduced fraction or DNE. lim 7…

A:

Q: 6. Use an integrating factor to solve the following first order differential equation (x² + 1) + xy…

A:

Q: Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand…

A:

Q: 16 x0.67.dx

A: Formula  ∫xndx=xn+1n+1+c

Q: Given x + y³ - 100y a.) Find all values of y that correspond to x = 7. Separate your answers by…

A: The equation is given by x+y3-100y=7                         ..........(1) To evaluate: (a) All…

Q: dy dv 2 Find for y = = [ √3 +4 dt. 0

A:

Q: Find the solution of the given initial value problem in explicit form. y' = (1 - 11x)y², y(0) y(x) =…

A: Given initial value problem is : y'=(1-11x)y2,   y(0)=-14

Q: f cos(x³) x² dx. O 1 ¹ cos4 + c 4 1 3 sin x²+ C 1 1 ¹ cos4 + c - 4 -3 si sin x³+ C

A:

Q: Evaluate the following integral. 12 S 0 4 log 13 (x + X + 1 1) -dx

A:

Q: Which of the following is not a unit vector? 2 A. • (-3/35.0,-/) √5' √5 B. (cos 1, sin 1, 0) C. (1,…

A:

Q: Answer true or false. If f is not piecewise continuous on [0, co>), then L{f(t)} will not exist.…

A: The given statement is

Q: 5. The graph shown here is the graph of g'(t). area = 2 area = 2 PUA 5 We know that g(0)=5. Use this…

A:

Q: the power series ∞ (7-2x)" Consider f(x) = Σ function. 6n n=1 as a a. Find the interval of…

A:

Q: y' = CSC x y cotx

A: