1. Find all max/min and intervals of inc/dec. f(x)=3sin(2x). [0,π] 2. Find all POI and intervals of concavity. f(x)=3sin(2x). [0,π]

Q: Find a formula for for the function below using the Derivative Rule for Inverses. dx f(x)=3-512x3 df…

A:

Q: I need help with this problem and an explanation for the solution described below:

A:

Q: Obtain the derivative dy/dx. dy dx y = 13 State the rules that you use. (Select all that apply.)…

A: Step 1:To find the derivative dxdy​ of y=13, we'll use the constant multiple rule. The constant…

Q: Consider the series Σ n=1 (2x)n n2

A: The objective of this question is to determine the values of x for which the Ratio Test is…

Q: Problem #4: Suppose that the function f(x) is defined as f(x) = 7 sin²x-3 sin x cos x + 2 cos² (2x)…

A: Step 1:Step 2:

Q: Find the linear approximation to the following function at the given point 2 f(x)=-3x-4x; a = 3

A: GivenThe function and the value of a=3.The expression for the linear approximation is given byTo…

Q: Find the coordinates of the local minimum of the function f(x) = x²+3x²+5x.

A: The objective of this question is to find the coordinates of the local minimum of the function f(x)…

Q: + ऐ О 5) Find the volume of the solid under the surface f(x, y) = 1 - xy and over the region bound…

A: The objective of this question is to find the volume of the solid under the surface defined by the…

Q: A chemist has two solutions that contain different concentrations of a certain acid. One is a 4%…

A: The objective of this question is to find out the amount of each solution that the chemist should…

Q: You plan to take out a 30-year fixed rate mortgage for $250,000. Let P(r) be your monthly payment if…

A: Step 1: for part (a) exact value is calculated in part (b)   Step 2:(P'(7) can be approximated as…

Q: f(x)= log(3-5x), determine the domain of y=log (f(x)) the y-intercept of y=-2f (x+1) • the root of…

A: Step 1:Given that, f(x)=log(3−5x). ........(1)  Step 2:Now, y=log(f(x))=log(log(3−5x)) .......(2)…

Q: Find the linear approximation to the following function at the given point a. f(x)=3x-1; a= -2 L(x)=…

A:

Q: Find the derivative. y = log (4x) = y' = ☐

A: also Answer

Q: Josefina is a lifeguard and spots a drowning child 60 meters along the shore and 70 meters from the…

A: The figure with given conditions

Q: f(x) = 3x² - x³ 3 [−1,2]

A:

Q: Find the equation of the tangent line to the graph of f at the given point. f(x) = In (1+7x) at…

A: Step 1:Step 2:

Q: 15. Please solve the following calc 3 problem (show all work by hand)

A:

Q: Evaluate the following limits: a) lim 20 7-6 10r2 r-4 b) lim q-3-79-6 qco 2q4+4q-3-10q-8 c) lim…

A:

Q: Suppose that the spread of a flu virus on a college campus is modeled by the function 3000 y(t): 1 +…

A: Step 1: Step 2: Step 3: Step 4:

Q: [" (cos x + 3x4) dx

A: given integration

Q: A ball is thrown vertically upward from a height of 7 feet with an initial velocity of 70feet per…

A: The objective of this question is to find the maximum height the ball will reach when thrown upward…

Q: Find an equation of the line tangent to the graph of f(x)=(5x+4) (6x-5) at the point (1,9). The…

A: The given function equation is

Q: Make a graph about the fourth photo on the moon. (JK< just answer question in photo.)

A: Method -1: Normal Maxima and minima evaluation by derivatives.    Method 2: by graphs.  First make a…

Q: 4. (calculus with parametric curves) For the following curves, find an equation for the line tangent…

A: Step 1: At t=1, x=t1​=1, y=−2+lnt=−2+ln1=−2. [as ln1=0]  So, we need to find the equation of the…

Q: Let lim f(x) = 3 and lim g(x) = 15. Use the limit rules to find the following limit. x-6 lim f(x)…

A: Recall the Quotient Property of Limits. If a is a real number and the limits limx→a​f(x)and…

Q: A tank shown below has vertical ends in the shape of isosceles triangles. Its dimensions are given…

A: Step 1:Step 2: Step 3: Step 4:

Q: Evaluate the integral using the Fundamental Theorem of Calculus, Part I. (Use symbolic notation and…

A:

Q: Find the coordinates of the local maximum of the function f(x) = −x³ + 2x² + 3x.

A:

Q: Solve the initial value problem dy = (x - 7)(y – 9), y(0) = 6. -7x dx y = Зе 2 +9

A:

Q: Use the form of the definition of the integral given in the theorem to evaluate the integral. 3…

A: The objective of this question is to evaluate the definite integral of the function (x^2 - 4x + 8)…

Q: 3. Pulling Gasoline Up (Work on Fluids) A cylindrical tank with a length of 10 m and a radius of 5 m…

A: Step 1: Formulate the cross-sectional area of the gasoline layer The cross-sectional area of the…

Q: Consider the points A(2,3,7), B(0,3,3), and C(5,2,-4). Find a) The largest angle in triangle Abc…

A:

Q: answer questions 13, 29, 33, 49, 59

A:

Q: 2πT 2 8) Evaluate the triple integral p² sin() dp do do. What is the coordinate system for this…

A: The objective of the question is to evaluate the given triple integral and identify the coordinate…

Q: Use algebra and the properties of limits as needed to find the given limits. If the limit does not…

A:

Q: Find the indicated derivative for the function. f'(x) for f(x)=2x-4x+4x-4 f''(x) = ☐

A:

Q: The limit L of an alternating series that satisfies the conditions of the Alternating Series Test…

A: Step 1:Step 2:

Q: The region in the first quadrant enclosed by the curves y = 1 - x², x = 0 and y = 0, is rotated…

A:

Q: A box with a square base and open top must have a volume of 131072 cm^3. We wish to find the…

A: First, we know that the volume of the box is given by V=x²h, where x is the length of one side of…

Q: Find an equation for the conic that satisfies the given conditions. parabola, focus (-8,0),…

A: Approach to solving the question: Detailed explanation:

Q: Sketch the graph of the inverse function. 10-B 10- (3,5) (0.4) 1.3) 4- B 8- 10- Q Choose the correct…

A: As we know The graph of an inverse function is just a reflection of the graph with respect to the…

Q: A migrating salmon heads in the direction N 45° E, swimming at 5 mi/h relative to the water. The…

A: Given:The direction of the salmon = The speed of the salmon = 5 mi/hThe current of the ocean = 2…

Q: Find a power series for the function, centered at c. f(x) = =1 Σ 1 f(x) C = 2 5 - x' n = 0 Determine…

A:

Q: Solve the following separable differential equation; write the general solution explicitly as a…

A:

Q: Consider the unit vector as shown. Point A is located at the origin. Point E is (1,0,0), Point Fis…

A: Step 1:     Step 2: Step 3: Step 4:

Q: Use the quotient rule to find the derivative of the following. 2 8x +9 y= 2 x +5 dy dx =

A: Solution is following in explanation step.

Q: 7. Use Polar coordinate to compute the volume under the cone z = √x² + y² and above the semi-ring 4…

A: Step 1: Use polar coordinates to find the volume, x=rcosθy=rsinθdxdy=rdrdθ Step 2:…

Q: Use the quotient rule to find the derivative of the function. dy dx 2x+1 y=-

A:

Q: 4) Find the volume of the solid under the surface f(x,y) = x² + y and over the region bound by the…

A: Step 1:

Q: Consider the series Σ n=1 (2x)n n2

A: The objective of this question is to determine the values of x for which the Ratio Test is…