Suppose f"(1)>0. Then, a) f is concave upward at x=1. b) f is concave downward at x=1. c) f(1) is a relative minimum value. d) f(1) is a relative maximum value.

Q: Evaluate the given quantity without using a calculator or tables. cos [sin-¹(3)]

A:

Q: 7.Find of z = 2x³-5xy² a²z xy

A: Use partial derivative for finding the unknown

Q: B. Find all the values of x on the open interval (-5,5) where g is increasing. Justify your…

A:

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: What is…

A: Given that a ball launched at in air t seconds after  it is launched byf(t)=-16t2+300t+20When the…

Q: 4. Given z = x-y x+y Find əz/ax

A: I have appended the formula used in the solution part of the question.

Q: Find the second derivative of f(x) = 2x+1/x-4

A: Here, we need to find the second derivative of f(x)=2x+1x-4. So,           f''(x)=2x+1x-4''…

Q: Question 2 fe2x cos x dx Oln sin x + ² +C Oe² sin x + ² cos x + C O None of the choices ○ (1+x³)√1 +…

A: Please see the answer below.

Q: Evaluate sin(x) 1+cos(x) -dx

A:

Q: Lim X→2 2x³+2x²+2x+6 x³+4x+3

A:

Q: following relation { (a,b), (b,a), (c,b), (c,a) } is not a function.

A:

Q: y = 3sin (40 +

A: Given query is to find the phase shift.

Q: Find an equation for the paraboloid z=x^2+y^2 in spherical coordinates

A:

Q: Consider the function f(x) = x^4 − 5x^3 + 9x^2 Find a)  The intervals on which f is increasing. b)…

A:

Q: A population of 800,000 microbes increases at the continuous rate of 4% per day. a. Carefully sketch…

A: Given: population of 800,000 microbes increases at the continuous rate of 4% per day. Find: sketch…

Q: 36 Where x <0, the point (-x,2) is located in Fourth quadrant A O Third quadrant .BO y-intercept .CO…

A: We will find the given point located in which quadrant in the following step.

Q: 6.0 4 -4x x5e хе dx

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

Q: Determine the intervals on which f is increasing or decreasing, assuming that given figure is the…

A: Given query is to find where f is increasing and decreasing.

Q: y = x *Arctan (x4)

A:

Q: The general solution of y" - y = x²ex + 5

A:

Q: Read the instructions first, then plot

A:

Q: Prove the following identities : a) Csc0+tan 0.Sec0=Csc0.Sec ²0

A:

Q: The length of a rectangle is increasing at a rate of 5 meters per hour and the width is decreasing…

A:

Q: LAW OF GROWTH AND DECAY A bacteria culture increased 800% in 1 year. How long (in months) will it…

A:

Q: 4. Find 3x 2t dx/e²t dt

A:

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 2x³+2x²+2x+6 1. Lim x3+4x+3…

A:

Q: Find an equation for the plane that is tangent to the surface z = In (x+y) at the point P(0,1,0).…

A:

Q: the phase shifts of

A:

Q: Suppose that R is the finite region bounded by f(x) = 2√x and g(x) = x. Find the exact value of the…

A: The given curves are: fx=2x and gx=x (a). So, the bounded region is as shown below;   Apply the…

Q: xcosx 2. Lim: xo sin²x 2

A: We can find the limit as below

Q: f sinh3³ x dx Ocosh³z-coshz+C O3 cosh³r+C 3 Ocosh³z + cosh 2+ C Ocosh³ +C O None of the choices

A:

Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: Given:           ∫252x2-3xdx

Q: Given [ƒ(x) dx = -5, and g(x)= {x²-1,0≤x≤3 . Using the properties of (3x+2 ,3≤x≤5 integral. Find the…

A: Ans= -20  For detail...go through the solution...I have solved using given information in detail

Q: 1. Using n = 4 equal-width rectangles, approximate [(x²+8) dx . Use the left end-point of each…

A:

Q: Set up triple integrals for the volume of the sphere p=11 in a. spherical, b. cylindrical, and c.…

A:

Q: Evaluate the integral directly by integration with respect to x and y. 7 x=(y/5)+1 5x-y S S dxdy…

A:

Q: 4. Consider the sequence {n} (a) Write out the first five terms of the sequence (b) Determine…

A:

Q: for a system of two equations in two variables, the graph of the equations are the same lines, then…

A: We have to find out the solution existence

Q: Suppose that an equilateral plate that is 2 feet high is standing straight on the bottom of a 6 feet…

A: Solution of the problem as follows

Q: x = 3. Find the value of k, if ][ƒ(x)-kx]dx=7. Given f(x)dx=-Sand f(x) dx = 3 Using the properties…

A: We have to  find the solutions

Q: Find the derivative of the function at Po in the direction of A. 0 f(x,y,z) = xy + yz+zx,…

A: Given query is to find direction derivative.

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.2 cm/min.…

A:

Q: Describe the surface. x² + z² = 1 O sphere O ellipsoid O hyperboloid O circular cylinder O elliptic…

A:

Q: Lim x²-3x-4 x²-1

A: Topic:-  limit calculus

Q: Sin 20 + cos20 +1 Sin 20-cos20 +1 - - сото

A:

Q: Find the volume of the region between the planes x+y+2z = 2 and 4x+4y+z=8 in the first octant. ▪▪▪…

A: Given :x+y+2z=2 4x+4y+z=8

Q: Simplify 6x4+9x³ – 12x² -3x²

A: Here we have Simplify the 6x4+9x3-12x2-3x2

Q: Q.3) Evaluate the following dx 1) [ x² + 10x + 30 T 2) [²√³x² 3) ² ² 1/2 dx xy y sin x dx dy dx dy

A:

Q: In problems 5 and 6 find the particular solutions of the given differential equations. d²y dy 5. 5…

A:

Q: 1. Determine the value of a such that lim 24-2 Hint: Apply one of the Limit Laws. 3x² + ax + a +3…

A: We have to find limit

Q: At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 22 knots and ship…

A: