Find the price that will maximize profit for the demand and cost functions, where p is the price, x is the number of units, and C is the cost. Demand Function      Cost Function p = 76 − 0.1x      C = 31x + 450

Q: Find the derivative of g(x)= using the limit definition

A: Solution:we have use formula g'x=limh→0gx+h-gxhgx=1x-1g'x=limh→0gx+h-gxhg'x=limh→01x+h-1-1x-1h=limh→...

Q: Note: Values of x should be typed in INCREASING order from LEFT to RIGHT. DO NOT include spaces in b...

A: A function is f(x) is said to be continuous at x=a iff  limx→a-f(x)=limx→a+f(x) A discontinuous fu...

Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by par...

A: We can find the integration as below using standard formula.

Q: 2. Given: LKEI S LTEI Prove: AKET ATEI Proof: Statements Reasons 1. 1. 2. 2. 3. 3. El EI 4. 4.

A:

Q: Use the intermediate value theorem to determine whether the function f(x) =x + 6x-8 has a root or no...

A: Here, the given function is: f(x)=x3+6x-8 Now, f(1)=1+6-8=-1f(2)=8+12-8=12  

Q: Ax) = ,5-9,4+73 -5,2 -8x+1 is continuous on (-o, co) because fx) is a polynomia and polynomials are ...

A: The objective is to state true or false of the above question.

Q: continuity

A:

Q: In Exercises 17-22, iterated integrals are given that compute the area of a region R in the x-y plan...

A: We have to find as given above. 

Q: Evaluate the limits analytically sin rte –1 A. lim,-→0 I COS I

A: Find your answer below 

Q: Write the expression as the sine, cosine, or tangent of an angle. sin 50° cos 5° + cos 50° sin 5°

A:

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: Correct region and solid÷

Q: Lim 9. x + 4

A:

Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 6j + 9k and the vector component of v ort...

A: We know that, vector component of v on b is v.bb2.b Therefore , vector component of v on b is =(2i^-...

Q: Evaluate the given integrals. 4. J(secx + tanх)? dx

A: Given problem:- ∫ (tan(x) +sec(x))2 dx   

Q: The rectangular coordinates of a point are given. Plot the point. (-3V2, -3V2) y y 6 4 4 2 2 -6 -4 -...

A: Option 4

Q: Find the area of the parallelogram that has u = i – 2j + k and = 3j + 2k as adjacent sides. NOTE: En...

A: Area of parallelogram with adjacent sides u→ and v→ is defined as u→×v→

Q: The slope of the tangent line to the curve y 2a at the point (- 5, – 250) is: The equation of this t...

A: here for slpope we have to differentiate function y =2x3 dy/dx = 6x2 slope at (-5 , -250) dy/dx = 6(...

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Suppose F(t) has the derivative f(t) shown below, and F(0) = 4. Find values for F(3) and F(7) 3+ 2- ...

A:

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 16j as ...

A: Given,            The adjacent sides are i+j and i-16j.To find : Find the lengths of the diagonals o...

Q: QUN Fiad devalerf (m) that make the ange betueen te ne veopal

A:

Q: x5 dx (36x2 + 1)7

A: Let I = ∫x536x2+132dx Take x2 = t⇒2dx = dt ⇒I = 12∫t236t+132dt

Q: The slope of the tangent line to the curve y at the point 6, is: 3 The equation of this tangent line...

A:

Q: ind the tangent to the föliüm of t what points on the curve of x' +y 6xy is the tangent line horizon...

A:

Q: Find two unit vectors in 2-space that make an angle of 45° with 6i + 5j. NOTE: Enter the ezact answe...

A:

Q: 5. Which of the has a domain of (-0, +o)? a. f(x) =x b. f(x) = x? c. fx) =x d. f(x) =x* 6. Given the...

A: Use the basic property of function and composition of function. 

Q: Ssin (y)cos(y)/3+ sin° (y) + 5e" dy

A:

Q: 3. For what value of x will the slope of the tangent to f(x) = 3*e* +5x +17 be equal to 5?

A: We can solve the given question as follows:

Q: (2) Find the value of B (,-)

A:

Q: Write an equation for the function graphed below 4 -3-2 7.

A: We have to find the equation for the given graph. 

Q: e2x dx Evaluate: 9-4e4

A:

Q: Activity 4: 1. Find the indicated derivative for each of the following functions and evaluate as ind...

A: We know, ddxxn=nx(n-1) , for any real number n. ddxcos x= -sin x ddxsin x= cos x

Q: Find the value of >(-1)"-1. n=1

A: To find the sum of the given series  Note : If a series is divergent then we cannot find its sum.

Q: DO NOT include spaces in between 17 characters. * Compute m d (In (In y)) at y=e. dy Your answer

A: The objective is to compute the derivative at y=e.

Q: The table below shows the number of accidents, fatalities, hours flown, and miles flown for a countr...

A: Given: Year Accidents Fatalities Hours Flown (millions) Miles Flown (billions) 2004 49 95 1...

Q: B - Find the equation of the curve whose slope at any point p(x.y) is m = x(x+5)² , and passing thro...

A:

Q: Find F'(x) if F(x) = cot¯ 12

A: We can find the derivative as below

Q: Find two unit vectors in 2-space that make an angle of 45° with 5i+ 4j. NOTE: Enter the exact answer...

A:

Q: A piston is seated at the top of a cylindrical chamber with radius 7 cm when it starts moving into t...

A: This question can be solved by applying the concept of rate of change of physical quantities.

Q: x2sinx Q4 : Find dy /dx Y = (1+x2)2V1+x

A:

Q: . lim,0+ (1 + 2x)In(2z)

A: Solution :1∞  formif limx→0fx=1 limx→0gx=∞if the form limx→0 fxgx then elimx→0 fx-1gx

Q: B.Determine f (x) given that f'(x) = t* – t3 + t2 +t-1

A: We have to integrate the given function to calculate f(x). Integration of xⁿ = (x)n+1/n+1

Q: 11. x tan (x +1) sec (x+1) dx

A:

Q: Let f(x) = /3r – 10. According to the definition, f'(r) = lim h0 (Enter the limit in reduced form)

A: f(x)=3x-10f'(x)=limh→0f(x+h)-f(x)h

Q: Find the area of the parallelogram that has u = 2i – 2j + k and v =j+3k as adjacent sides. %3D NOTE:...

A: We know that, the expression for the area of the parallelogram with adjacent sidesu→ & v→. A=u→×...

Q: (x'y – y+ 2) dy 1 II (x'y – y +2) dy dx 1

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: Evaluate the definite integral. 1 xp 9 + (x + 5)2

A:

Q: 1. Use the e - d definition of the limit to show the following: (a) lim(5x – 2) = 3 エ→1 (b) lim Vr =...

A: The objective is to use definition of limit to prove the above question.

Q: Find the coordinates of the centroid of the solid generated when region bounded by x2 + y? – 4y = 0 ...

A:

Q: Six and one-half foot-pounds of work is required to compress a spring 6 inches from its natural leng...

A: