d (tan² (2x³)). dx (a) 202¹ tan (2x5) sec² (2x5) (b) 20x¹ tan (25) 16. Calculate (c) 2 tan (2x5) (d) 80x³ tan (25) sec² (104) (e) 80x³ sec² (10x¹) 16A 16B 16C 16D 16E

Q: nd fill in the corresp 11. Find the slope of the line tangent to the graph of y = xy - 8x + 50 at…

A:

Q: The graph of the derivative f'(x) is given below. On what interval(s) is the function f(x) concave…

A: Given, the graph of f'(x).

Q: 2. f(-2)--13 9(-2)=11 (F-9) (-2)=

A: f(-2)=-13 g(-2)=11

Q: The population of a certain city was 27000, then 5 years later the pouplation was 45000. Write the…

A:

Q: Consider the following unconstrained optimization problem: min f(x, y) = x² + y² + xy + x + y z,y=R…

A: Given: f(x,y)=x2+y2+xy+x+y We have to find value of independent variable for minimum function value.

Q: The rate of expenditures on public elementary and secondary schools, in billions of dollars per…

A: st=4.08·e0.074t from 1990 to 2010 , therefore total 20 years

Q: 10. Use Euler's Theorem to show that 5(16). Show =1 (mod 16). your work or explain your reasoning…

A: The objective of the question is provided the given identity by help of Euler's Theorem.

Q: 182 Σ What is the value of the expression 17 A 16,290 B C D 16,471 16.562 16.653

A: ∑i=1182 i

Q: 9) Use Newton's method to approximate the solution to the equation below, correct to six decimal…

A: An equation,

Q: Solve the right triangle shown in the figure for all unknown sides and angles. Round your answers to…

A:

Q: Find the following limit or state that it does not exist. √x-15 lim X-225 X-225

A: Given data limx→225 x-15x-225

Q: If f(x) = 4 ln(5 + x), ƒ'(x) = ƒ'(1) =

A: f(x)=4ln(5+x)

Q: Let f(t) = 3t4 7t+2e¹. Then f'(t) = =

A:

Q: 3. A projectile is fired with an initial velocity of 128 ft/s from a cannon at time t = 0 from a…

A:

Q: find the domain of the logarithmic function. f(x)=log7(x-5)

A: The given function fx=log7x-5. We have to find the domain of the function.

Q: Find the equations of the normal line to the surface z = 8z"y" at the point (-2,-1,-512). HI y= ==-t…

A: z= 8x6y7  Point ( -2,-1,-512)  We have to find equation of normal line to the surface z at given…

Q: xy Find the linear approximation to the equation f(x, y) = 5, 8 approximate f(4.12, 8.17) f(4.12,…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(x) = ["²₁ √²³ + ¹³dt…

A: given f(x)=∫-1xt3+13dt

Q: Suppose that f(x, y) = y√³+1 at which {(x, y) |0 ≤ y ≤ x ≤ 1}. D Then the double integral of f(x, y)…

A:

Q: What is the general formula for the th term of the sequence-4, 1, 8, 17, 28,...

A:

Q: Find the points at which the following function is discontinuous. 8x + 1 f(x) = 5x-8 6x²6 Select the…

A: The given function is f(x)=8x+1if x≤-35x-8if  -3<x≤36x2-6if x>3 Since polynomial functions are…

Q: Using implicit differentiation to find the first derivative for the equation 7x² + 5x 21 = Oequals,…

A:

Q: Use the sum and difference identities to determine the exact value of the following expression. If…

A:

Q: Construct a polynomial function with the following properties: fifth degree, 5 is a zero of…

A:

Q: Find T₁(x): the Taylor polynomial of degree 4 of the function f(x) = arctan(8x) at a = T₁(x) =

A:

Q: Use the like-bases property and exponents to solve the equation 2n+1 2³n-3 n = =

A:

Q: + x² − 5e³, find ƒ'(x). If ƒ(x) = 4eª + x² 4eª

A:

Q: Two partners agree to invest equal amounts in their business. One will contribute $10,000…

A: We need to calculate Amount after 5 years

Q: Evaluate the following integral. S16 16 sin x sin 2x dx

A: Evaluate the integral  ∫16sin(x)sin(2x)dx

Q: Find the exact length L of the curve where y 20. 7y² = (3x-2)³, 1<z≤ 2,

A:

Q: Rewrite the integrand in terms of u so that the X integral IT da takes the form f(u) = 3x² +10…

A: Given indefinite integral ∫x3x2 + 10dx

Q: Find the area between the curves: y = x³ - 11x² + 28x and y = -x³ + 11x² - 28x

A:

Q: Find the second-order partial derivatives of the function. Show that the mixed partial derivatives…

A:

Q: Determine the equation for the tangent to the curve y= sin(2x + π/3) at the point with x-coordinate…

A: Given

Q: Evaluate 1) Sin ¹ (1 a) cos`' (-1) 3) cos( tan`¹ (13 Sin (1/ กาก

A:

Q: Find the composition f[g(x)] if: O 2-3u10 (10 - 15x2)5 O f(u) = u5 and g(x) = 2 - 3x² (2-3x²)²…

A: fu=u5 , gx=2-3x2

Q: An athletics track has two "straights" of length 1 m and two semicircular ends of radius x m. The…

A: The given track is:

Q: F(x)=√√x g(x) = 2x (f/g)(x) = domain= X

A: F(x) = (x)1/3 g(x) = 2x fund   (f/g)(x) = ?

Q: Find all functions f(t) with the following property. f(t) = f'(t) = t 7

A: given,  f'(t)=t76

Q: 1. f(-2)=-13 9(-2)=11 (f+9) (-2)=

A: given  f(-2)=-13  and  g(-2)=11

Q: Suppose that f(x, y) = 3x + 6y at which {(z,y) | -2 <≤ x ≤5, -2 ≤ y ≤ 5}.

A:

Q: =x2ex-4 show that dy/dx= 2xex-4+x2ex-4

A:

Q: Find the Maclaurin series of f(x) = 5*. Σ n=0

A: given function fx=5x To Find: Maclaurin Series

Q: The average value of the function f(x) = 2x sin(2x) on [0,] is equal to 1. Select one: O True O…

A: The given function is;  f(x)=2x Sin(2x)

Q: A can of red bull without a top is made to contain 355cm3 of energy drink. Find the dimensions that…

A:

Q: Find the x coordinates of the stationary points of the curve

A:

Q: Evaluate √a²-x² -√√a²-x² { 2xy dx dy

A: The given integral ∫0a∫-a2-x2a2-x22xy dx dy.

Q: S 4. 4x³ (x4 + 1)² dx, u = x + 1

A: We have to evaluate the given integral.   According to our guidelines we can solve only one question…

Q: The total surface area of the box is 5400 square centimetres, let x be the width of the box and h be…

A: The total surface area of the box is 5400 cm2

Q: The velocity function is v(t) = −t² + 6t - 8 for a particle - moving along a line. Find the…

A: