Start your trial now! First week only $4.99!*arrow_forward*

Question

15. Find the cross product a x b, and verify that it is orthogonal to both a and b.

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: Find the arc length of the graph of the function over the indicated interval. x = (1)/(3)(y2 + 2)3/2...

A: Given x=13y2+232 ,0 ≤ y ≤ 8.

Q: Find an equation of the tangent line to f(x)=2x^3-4x+6 at x=-1

A: Click to see the answer

Q: Use the intermediate value theorem to determine whether the function f(x) = x^3 + 2x - 4 has a root ...

A: Given, f(x)=x3+2x-4 over interval,1,2 Definition of Intermediate value theorem: If f(x) be the conti...

Q: The population of a city is modeled by the equation P(t)= 379,425e0.2t where t is measured in years....

A: Click to see the answer

Q: #68) find all horizontal asymptotes for each function

A: Given, f(x)=10-e-x1+e-2x

Q: Find all values of b such that the parabola y = x² – bx + will have a directrix having an equation o...

A: y=18x2-bx+92 On simplification, we get ⇒y=18x2-8bx+36⇒8y=x2-8bx+36⇒8y=x2-8bx+16b2-16b2+36⇒8y-36+16b2...

Q: Aviel invests $3,000 in a high-yield uninsured certificate of deposit that pays 6.5% interest per ye...

A: Amount invested $3000 Interest per year 6.5% compounded quarterly

Q: Find f- (x) for f (x) = 3+ 10x.

A: Click to see the answer

Q: Calculus Question

A: Click to see the answer

Q: Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the ...

A: Given: fx=x we know that according mean value theorem if a functionfx is continuous on a,b, differen...

Q: Use one or more of the six sum and difference identities to find the exact value of the expression c...

A: Click to see the answer

Q: Calculate the sum of the following geometricseries

A: Click to see the answer

Q: A curve is described by the equation 3 sin(y) +x = xy. Determine the equation of the tangent line to...

A: Consider the following equation: 3siny+x2=xy Differentiate the above equation with respect to x by i...

Q: Solve the equation |2x - 5| > 3 or inequality.

A: we have to solve the given inequality, 2x-5>3 as we know that: if |x|>a, then x∈-∞,-a∪a,∞ th...

Q: The acceleration in m/s2 of a car is given by a(t)=−t3+t2. Use a right-endpoint Riemann sum with fiv...

A: Click to see the answer

Q: 12. Set up an integral to find the volume of the solid generated when the vegion bounded by y= V.y-0...

A: Giveny=x , y=o , x=4

Q: A decimal approximation for √3 is 1.7320508. Use a calculator to find 21.7, 21.73, 21.732, 21.73205,...

A: Given:Given that a decimal approximation for 3=1.7320508.To find:we have to find the following 1) 21...

Q: If f"(c) = 0, then f(x) must have an inflection point at x = c. True False

A: Click to see the answer

Q: Calculus Question

A: Derivative: f(x)=lnx2+1x(2x3-1)2ln(mn)=ln m-ln nln(x2+1)=12ln(x2+1)

Q: Match the trigonometric expression given the following a) csc x b) tan x c) sin^2 x d) sin x tan x e...

A: Click to see the answer

Q: Find the value of the trigonometric function: cos (-9π/4).

A: cos (-9π/4)

Q: Use the given values to find the values (if possible of all six trigonometric functions. Sin x=1/2, ...

A: Click to see the answer

Q: Find k such that (x+3) is a factor of f(x)=x^3+7x^2+kx-135

A: Click to see the answer

Q: Is it OK to say that a vertical line has no slope?

A: To determine: Vertical line has slope or not?

Q: #20) use L’Hôpital’s rule to find the limit.

A: Click to see the answer

Q: 4. Does the series ne¯n converge? Explain. m=1

A: Given series is ∑n=1∞ ne-n2. Consider an=ne-n2. Then an+1=n+1e-n+12.

Q: and are coterminal. True/Fals 4

A: 1. Co-terminal angle: Two angles are co-terminal if they are drawn in the standard position and both...

Q: Simplify : (1+1/x) / (3 - 1/x)

A: Consider the provided expression, 1+1x3-1x Simplify the provided expression.

Q: Differentiate: y = x2 + 3x – 1 x2+1 A. x2+3x-1 -(x²+1) В. (x²+3x-1)2 -x2+1 x2-1 С. (x²+3x-1)² D. x2+...

A: Click to see the answer

Q: Use words not an equation to describe one of the reciprocal identities.

A: Concept: The calculus helps in understanding the changes between values that are related by a functi...

Q: Evaluate the following integrals: Given y = 3e* + 2 In 3x, is equal to? Solution:

A: Click to see the answer

Q: #46) find each limit

A: Click to see the answer

Q: Using rectangles whose height is given by the value of the function at the midpoint of the rectangle...

A: Click to see the answer

Q: 4. Prove that f(x) is continuous at the point x =c lim f(c + h) = f(c) by completing the following: ...

A: To prove: (a) limh→0 f(c+h) = f(c) (b) f(x) is continuous at the point x = c.

Q: Find the solution of the following initial value problem. ν'(x) = 4x1/3 + 2x-1/3; ν(8) = 40, x > ...

A: Given: v'x=4x13+2x-13; v8=40 for finding solution of given initial value problem, we integrate v'x ...

Q: f(z) = 16 – z/3 Find f(– 64) and f(64). f(– 64) = %3D f(64) Find all values cin (-64, 64) such that ...

A: Click to see the answer

Q: Solve the given triangle. Round lengths of sides to the nearest tenth and angle measures to the near...

A: The sides of the triangle. We have to find all the angles.

Q: Use newtons method to estimate the two zeros of the following function start with X0 = 0 for the lef...

A: to find the value ofx2

Q: Use intercepts to graph the given equation : 6x - 3y + 15 = 0

A: Given: 6x-3y+15=0

Q: The function f(x)=5* +x? is one-to-one. Find the value of (f-l)'(1). Round your answer to the neares...

A: The rule for differentiating the inverse function in this context can be written in Leibniz notation...

Q: i) Sketch the graph of the function ii) Find the domain of the graph and write it in interval notati...

A: Consider the given function, fx=x2ex2 a) To graph fx, create a table of x and y values. xfx-1e=2.7...

Q: A homeowner mows the lawn every Wednesday afternoon.Sketch a rough graph of the height of the grass ...

A: Given: A homeowner mows the lawn every Wednesday afternoon. To sketch: The graph of the height of th...

Q: 9) Simplify each trigonometric expression. cos? e a. 1- 1+sin 0 b. sec 0 · sin 0

A: We know the formula sin2θ+cos2θ=1 9(a)=1-cos2θ1+sinθput cos2θ=1-sin2θ= 1-(1-sin2θ1+sinθ)=1-{(1-si...

Q: Find the exact value of tan α = 4/3, π < α < 3π/2, and tan β = 5/12, 0 < β < π/2 under t...

A: Given condition - π<α<3π2 that means α is in 3rd quadrant.0<β<π2 that means β is ...

Q: 1. Find the derivative of each function. i] f(x) = e*=*

A: Here f(x)=ex2-πxddxf(x)=ddxex2-πx=ex2-πx ddxx2-πx=ex2-πx 2x-πHence, ddxex2-πx=ex2-πx 2x-π

Q: Multiply .4 •

A: We have to multiply .4¯·23 Solution: First we will convert .4¯ into rational number. Let x=0.4¯ ...

Q: The function f is defined by f(x) = \25 – x² for -5 sx 5. (a) Find f'(x). (b) Write an equation for ...

A: Given: fx=25-x2; x∈-5,5 we know that for finding derivative of given function, we differentiate give...

Q: In Exercises 5-40, evaluate the integral using FTC I.

A: we have to evaluate the value of the definite integral ∫04ydy. let the given integral be I. therefor...

Q: Let T : V → W be a linear transformation, and supposethat {v1, v2, . . . , vn} is a basis for Ker(T ...

A: The operator equation is, Tv=w ...... 1 For T:V→W be a linear transformation, T...

Q: V3 %3D 7) Give a general formula for all the solutions of cos 0

A: Click to see the answer

Transcribed Image Text

(a) a = (2, 6, 0) , b = (4, –1, 1) (b) a =i-j-k, b = }i+j- 4k