64. Consider the length h of the perpendicular from point B to side b in the given triangle. Show that b tan a tan y h tan a + tan y B A

Q: Solve by the method of your choice:Using 15 flavors of ice cream, how many cones with three…

A: Given: n = 15 r = 3 Formula Used: Prn = n!(n-r)!

Q: 5) Square PQRS with side length x is subdivided into four triangular regions as shown such that area…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 3. Consider the initial value problem y′ +y=1-², y(0) = 30› where yo denotes some real constant. (a)…

A: To find the solution of given differential equation.

Q: Let F(x) = f(x¹) and G(x) = (f(x))¹. 3 You also know that a³ = 10, ƒ(a) = 2, ƒ'(a) = 6, ƒ'(aª) = 4…

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Q: 3. Determine whether the sequence an = n cos ní is bounded, bounded above. bounded belew, or none of…

A:

Q: Find the exact length of the curve. y=ex, 0≤x≤ 3

A: Length of curve =∫ab1+dydx2dx

Q: Which one of the following could be the graph of the curve given parametrically by when the graphs…

A: Graph 4  could be the graph of the given parametrically  graph

Q: Find the derivative of the

A: We will find the required  derivative of given function.

Q: 55. Differentiate each trigonometric identity to obtain a new (or familiar) identity. sin x cos x…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Use the formula for nPr to evaluate the expression 8P0.

A: Given: The given expression is:  8P0 Formula Used: Prn = n!(n-r)!

Q: Find the parametric equations of the intersection of the planes x + (y − 9) + z = 0 and −x + (y + 9)…

A:

Q: Consider the function f(x)=eXx. Select all that apply. Select 3 correct answer(s) f(0) is positive.…

A:

Q: graph each function using the techniques of shifting, compressing or stretching, and reflections.…

A: Given, hx=2x-1

Q: e the chain rule to find the derivative of f(x) = 4√/10x¹⁰ + 6x6 e your answer without fractional or…

A: Given query is to find indicated derivatives.

Q: Find an equation of the tangent line to the curve y=4x at the point (1,4)  Tangent line: y=

A: Given query is to find the equation of the tangent line.

Q: Evaluate O 3π S sinx dx using the fundamental theorem of calculu 3π sinx dx = 0 3πt A-4 sinx dx =…

A:

Q: . For what values of r does the function y = er* satisfy the differential equation y" - 4y' + y = 0?

A: Please see the below picture for detailed solution.

Q: Use the Fundamental Counting Principle to solve:You are taking a multiple-choice test that has five…

A: Given data:- n = number of questions = 5 Number of choices for each question = 3 We have to find a…

Q: Use the Lagrange multipliers to find the maximum and minimum values of f(x, y) = 2x + y - 2z subject…

A:

Q: Find the numbers at which g is not continuous. Justify using the definition of continuity. x+2 if x…

A:

Q: Evaluate the definite integral leaving the answer in an EXACT form (no decimals): 5₁²¹0 dx

A:

Q: Find the exact length of the curve. 1 y² = 16(x + 1)³, 0≤x≤ 3, y>0 109/109 (217 217 (21717 X

A:

Q: The equation y = 1x - c2 2 defines a family of parabolas,one parabola for each value of c. On one…

A: Given, y=x-c2                     ... 1

Q: Let Calculate the following limits. Enter DNE if the limit does not exist. lim f(x) Number _7_←8 lim…

A: Given query is to find indicated limits.

Q: 2) Consider the function f(x) = x + sin x defined only for x € [1,4]. Fill in each blank with a…

A:

Q: 9x²9x + 54 x³ + 3x 1² dx

A:

Q: True or False: The following function is continuous on R. True O False f(x) = if x sin x 44

A: Given function:- fx=sinxif x<π4cosxif x≥π4

Q: Find equations of the tangent plane and normal line to the surface x = 3y² + 4z²106 at the point (6,…

A:

Q: The data provided is that for the depth of water in Cokato Creek, as measured during a day-long…

A: Here we have the depth of water in Cokato Creek, as measured during a day-long ainstrom. D(t) is a…

Q: For the piecewise linear function, find the following. (If an answer does not exist, enter DNE.)…

A: NOTE: Refresh your page if you can't see any equations. . the given piece-wise function is

Q: • f is not continuous when x = 4 but limx→4 f(x) exists. f has a non-removable discontinuity when x…

A:

Q: Given the matrix find A. Write A as input your answer below: a1 = 012 021= 022= H EI I EE A³ - [:…

A: The matrix is given by A = 220-3 To evaluate: The value of A3

Q: (a) cosh(sinh *(8))

A: U

Q: le's law states that if the temperature of an ideal gas is held constant, then the pressure P of the…

A: Given query is to find the expression for  rate of change of pressure.

Q: A particle is moving along the curve y = 4√4x + 4. As the particle passes through the point (3, 16),…

A: A particle is moving along the curve y=44x+4. As the particle passes through the point 3, 16, its…

Q: 3) Suppose that f is a differentiable function with domain [0,5] and f' (3) = 0. True or False: This…

A:

Q: Set up the integral to be used to find the volume V, using both methods from Chapter 7, of the solid…

A:

Q: State whether the equation is ordinary or partial, linear or non-linear, and give its order and…

A:

Q: 13. The graph of the first derivative f'(x) of a function is shown. Identify the graph of f. N

A: Given query is to find the the graph of the function from the derivative graph.

Q: (Question-Solution-Final Answer-Conclusion format) E. Generate solution of the first-order…

A: The solution of given exact differential equation is as follow.

Q: Use the Fundamental Counting Principle to solve:How many different four-letter radio station call…

A: Fundamental counting principle:- A rule for counting all possible outcomes in a scenario is known as…

Q: FIND F'(x) for F(x) = -7 w/out USING the √5x³-20x quotient TULE

A: Given query is to find the derivative of the function.

Q: Consider the ellipsoid x² + y² + 4z² = 41. The implicit form of the tangent plane to this ellipsoid…

A: Please see the below picture for detailed solution.

Q: A) Evaluate S x √4x² de by letting u = 4 - x²

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

Q: Consider the integral given by Using the following definition of the integral Ax n 4 [ (x² + 2x - 5)…

A: Solution

Q: 7. 1 (x) == x¹- -2x³ + x-10. Find the hypercritical value(s) of f(x)=

A:

Q: Generate differential equation by elimination of arbitrary constants. 2. y=x+c₁e* + c₂e-*

A: Given: Now,    y'=x+c1ex+c2e-x' =1+c1ex-c2e-xy''=x+c1ex+c2e-x''=c1ex+c2e-x

Q: For what value of p does the sum of roots of the equation 6x² - 3px + 5 = 0 equal the product of…

A:

Q: A medical researcher needs 6 people to test the effectiveness of an experimental drug. If 13 people…

A: Given: n = 13 r = 6 Formula Used: Number of ways  Crn = n!r!(n-r)!

Q: Find dy/dx using partial derivatives  cos(x-y) = xe^y

A: